Just the distributive property to write an expression that is equivalent to 10 + 15x

Answers

Answer 1

Answer:

5 ( 2 + 3x )

Step-by-step explanation:

1st step: Take the GCF of the equation 10+15x

2nd step: GCF means, taking the Greatest Common Factor out of BOTH the numbers in an equation. (GCF is 5 in this case.)

3rd step: Divide by the GCF that you got. (In this case, you have 10 +15x. You need to do 10/5, and 15x /5. (Note that ANYTHING multiplied by "x" can also be divided just like a regular number.)

4th step: Put the the number that you divided with for both numbers OUTSIDE parentheses. (Note in this case it is common.)

5th step: Check your work. PLEASE DO THIS STEP.

Check: 5( 2 + 3x )

5 x 2 = 10

5 x '3x' = 15x

So, the answer for this problem is: 5 ( 2 +3x )

Answer: 5( 2 + 3x)

Hope this helped you understand the basics of disributive property. And if you have another problem just like this, you can use the same rule as shown above. :)

Answer 2

Final answer:

Use the distributive property to factor out a common factor in 10 + 15x to get an equivalent expression.

Explanation:

To write an expression equivalent to 10 + 15x using the distributive property, you can factor out a common factor. Here’s how:

Factor out 5 from 10 and 15x: 10 + 15x = 5(2 + 3x)

Apply the distributive property to get the equivalent expression: 5(2 + 3x) = 5*2 + 5*3x = 10 + 15x


Related Questions

Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars were subjected to a head-on collision at 40 miles per hour. Of them 8 were "totaled," meaning that the cost of repairs is greater than the value of the car. Another sample of 15 large cars were subjected to the same test, and 5 of them were totaled. Find a 95% confidence interval for the difference in the prop

Answers

Answer:

95% confidence interval for the difference in the proportion is [-0.017 , 0.697].

Step-by-step explanation:

We are given that a simple random sample of 12 small cars were subjected to a head-on collision at 40 miles per hour. Of them 8 were "totaled," meaning that the cost of repairs is greater than the value of the car.

Another sample of 15 large cars were subjected to the same test, and 5 of them were totaled.

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportion is given by;

                             P.Q. = [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of small cars that were totaled = [tex]\frac{8}{12}[/tex] = 0.67

[tex]\hat p_2[/tex] = sample proportion of large cars that were totaled = [tex]\frac{5}{15}[/tex] = 0.33

[tex]n_1[/tex] = sample of small cars = 12

[tex]n_2[/tex] = sample of large cars = 15

[tex]p_1[/tex] = population proportion of small cars that are totaled

[tex]p_2[/tex] = population proportion of large cars that were totaled

Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.

So, 95% confidence interval for the difference between population population, ([tex]p_1-p_2[/tex]) is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                    of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] < [tex]{(\hat p_1-\hat p_2)-(p_1-p_2)}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ) = 0.95

P( [tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] < [tex]p_1-p_2[/tex] < [tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ) = 0.95

95% confidence interval for [tex]p_1-p_2[/tex] = [[tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] , [tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]]

= [[tex](0.67-0.33)-1.96 \times {\sqrt{\frac{0.67(1-0.67)}{12}+\frac{0.33(1-0.33)}{15} } }[/tex] , [tex](0.67-0.33)+1.96 \times {\sqrt{\frac{0.67(1-0.67)}{12}+\frac{0.33(1-0.33)}{15} } }[/tex]]

= [-0.017 , 0.697]

Therefore, 95% confidence interval for the difference between proportions l and 2 is [-0.017 , 0.697].

Layla and Sam are both dog sitters. Layla charges $2 per day plus a sign-up fee of $3. Sam charges a flat rate of $3 per day. The system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.

A. Write the equation to represent Layla’s fees.
B. Write the equation to represent Sam’s fees.
C. After how many days do Layla and Sam earn the same amount for dog sitting?
What is that amount?

Answers

Answer:

a) [tex]L(t) = 3 + 2\cdot t[/tex], b) [tex]S (t) = 3\cdot t[/tex], c) Third day.

Step-by-step explanation:

a) The equation to represent Layla's fees is:

[tex]L(t) = 3 + 2\cdot t[/tex]

b) The equation to represent Sam's fees is:

[tex]S (t) = 3\cdot t[/tex]

c) Both earn the same amount for dog sitting at the third day.

Nadia is making a rectangular moisac out of 1/2 -inch by 1/2 -inch tiles. The rectangle is 12 inches long and 3 1/2 inches wide. How many tiles will nadia use to cover the rectangle completely

Answers

Answer:

168

Step-by-step explanation:

GIVEN: Nadia is making a rectangular moisac out of [tex]\frac{1}{2}[/tex] inch by [tex]\frac{1}{2}[/tex] inch tiles. The rectangle is [tex]12[/tex] inches long and [tex]3\frac{1}{2}[/tex] inches wide.

TO FIND: How many tiles will Nadia use to cover the rectangle completely.

SOLUTION:

Area of rectangular moisac[tex]=\text{length}\times\text{width}[/tex]

                                            [tex]=12\times3\frac{1}{2}=\frac{12\times7}{2}[/tex]

                                            [tex]=42 \text{ inch}^2[/tex]

Area of one   tile [tex]=\text{side}^2[/tex]

                           [tex]=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}\text{ inch}^2[/tex]

According to question

Total tiles required [tex]=\frac{\text{Area of rectangular moisac}}{\text{Area of one tile}}[/tex]

                                [tex]=\frac{42}{\frac{1}{4}}=42\times4[/tex]

                                [tex]=168[/tex] tiles

Hence, 168 tiles are required to completely cover the rectangular moisac.

Rearrange the equation so u is the independent variable.
4u+8w=−3u+2w

Answers

Answer:

w = [tex]-\frac{7}{6}u[/tex]

Step-by-step explanation:

If u will be the independent variable, then w will have to be made the subject of the equation so that w will depend on the changes in u

4u + 8w = −3u + 2w

First collect all like terms

8w − 2w = −3u − 4u

6w = −7u

divide both sides by 6

∴ w = [tex]-\frac{7}{6}u[/tex]

In the equation w = [tex]-\frac{7}{6}u[/tex] , U is independent variable.

Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift.

Units Produced

Employee Day Afternoon Night

Skaff 38 24 34

Lum 35 23 37

Clark 28 26 38

Treece 35 26 23

Morgan 22 23 24

1. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Answers

Answer:

The answer is there is a difference in the mean production rate by shift

Step-by-step explanation:

The level of significance is actually very low since the same production level is maintained for each of the 5 workers at the same time in the afternoon.

As for the other shifts, that is, the day shift and the night shift, the level of significance varies according to the production established by each worker.h

Jonas earns $77 in 7 hours. At this rate, how many dollars will he earn in 20 hours?

Answers

Answer:

$220?

Step-by-step explanation:

Answer$220

Step-by-step explanation:

77/7=$11 so $11x20=220

A 5-card hand is dealt from a perfectly shuffled deck. Define the events: A: the hand is a four of a kind (all four cards of one rank plus a 5th card). B: at least one of the cards in the hand is an ace Are the events A and B independent? Prove your answer by showing that one of the conditions for independence is either true or false.

Answers

In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are [tex]\binom44\binom{48}1=48[/tex] possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by [tex]\binom{13}1=13[/tex]. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability

[tex]\dfrac{\binom{13}1\binom44\binom{48}1}{\binom{52}5}=\dfrac{624}{2,598,960}\approx0.00024[/tex]

There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing [tex]\binom41\binom{48}4=778,320[/tex] possible hands. Exactly 2 aces are drawn in [tex]\binom42\binom{48}3=103,776[/tex] hands. And so on. This gives a total of

[tex]\displaystyle\sum_{a=1}^4\binom4a\binom{48}{5-a}=886,656[/tex]

possible hands containing at least 1 ace, and hence B occurs with probability

[tex]\dfrac{\sum\limits_{a=1}^4\binom4a\binom{48}{5-a}}{\binom{52}5}=\dfrac{18,472}{54,145}\approx0.3412[/tex]

The product of these probability is approximately 0.000082.

A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. [tex]P(A\cap B)=P(A)P(B)[/tex]. This happens if

the hand has 4 aces and 1 non-ace, orthe hand has a non-ace 4-of-a-kind and 1 ace

The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So [tex]A\cap B[/tex] consists of 96 possible hands, which occurs with probability

[tex]\dfrac{96}{\binom{52}5}\approx0.0000369[/tex]

and so the events A and B are NOT independent.

Final answer:

The events A and B in the given scenario are not independent. This determination is based on the principle of sampling without replacement, where drawing a four of a kind is likely to influence the probability of drawing an ace.

Explanation:

Two events A: the hand is a four of a kind, and B: at least one of the cards in the hand is an ace, are defined in a situation where a 5-card hand is dealt from a perfectly shuffled 52-card deck. To determine if these events are independent, we need to check if the occurrence of event A affects the occurrence of event B.

In sampling with replacement, each member of a population is replaced after it is picked. However, dealing a 5-card hand from a deck of cards is an example of sampling without replacement, meaning that each card may only be chosen once, causing the events to be considered as not independent.

It is highly probable that drawing a four of a kind will influence the likelihood of drawing an ace. Hence, the events A and B are not independent.

Learn more about Independent Events here:

https://brainly.com/question/30905572

#SPJ3

The data shows the weights of 2 groups of house cats in pounds.
Group 1
Group 2
6
8
8
10
8
10
9
11
10
12
14
15
15
15
18 20
15 21
Which statistic has a greater value for Group 1 than Group 2?
A
Mean
B. Range
C. Mode
D. Median
Reset

Answers

Final answer:

Upon calculating the mean, range, mode, and median for both groups of house cats, we found that none of the statistics have greater values for Group 1 than for Group 2.

Explanation:

To determine which statistic has a greater value for Group 1 than Group 2 in a dataset containing the weights of house cats, we first need to calculate the mean, range, mode, and median for both groups.

Calculations for Group 1:

Mean: (6+8+8+9+10+14+15+15+18+15) / 10 = 118 / 10 = 11.8 poundsRange: 18 - 6 = 12 poundsMode: 8 and 15 (Most frequent)Median: (10 + 14) / 2 = 24 / 2 = 12 pounds (since there's an even number of data points, we take the average of the two middle values)

Calculations for Group 2:

Mean: (8+10+10+11+12+15+15+20+21) / 9 = 122 / 9 = 13.56 poundsRange: 21 - 8 = 13 poundsMode: 10 and 15 (Most frequent)Median: 12 pounds (since there's an odd number of data points, the median is the middle value)

When comparing the statistics, we can see that the range of Group 1 is smaller than that of Group 2, and the mean and median for Group 1 are also smaller than those for Group 2. The mode for both groups is the same with two values that repeat the most. Therefore, none of the statistics have greater values for Group 1 than for Group 2.

Auto pistons at Wemming​ Chung's plant in Shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean Bold x overbar ​(mm) Range R ​(mm)
1 158.9 4.0
2 151.2 4.6
3 155.6 4.3
4 155.5 5.0
5 154.6 4.3

a) What is the value of x ?

Answers

Missing part of the question

b)What is the value of R?

Answer:

a. X = 155.2

b. R = 4.4

Step-by-step explanation:

a. Calculating the value of x.

The value of x is the mean of the mean observation; i.e. the mean column

Mean is calculated as: the summation of all observation divided by the number of observations.

Summation of Observation = 158.9 + 151.2 + 155.6 + 155.5 + 154.6

Summation of Observation = 775.8

Number of Observations = 5

X = Mean = 775.8/5

X = 155.16

X = 155.2 ----- Approximated to 1 decimal place

b. Calculating the value of R.

The value of R is the mean/average of the Range

Mean is calculated as: the summation of all observation divided by the number of observations.

Summation of Observation = 4.0 + 4.6 + 4.3 + 5.0 + 4.3

Summation of Observation = 22.2

Number of Observations = 5

R = Mean = 22.2/5

R = 4.44

R = 4.4 ----- Approximated to 1 decimal place

The average diameter [tex](\( \overline{x} \))[/tex] of the pistons from the provided data is 155.16 mm, calculated by summing the daily means and dividing by the number of days.

In the context provided, [tex]\( \overline{x} \)[/tex] refers to the average of the piston diameters measured across different days at Wemming Chung's plant.

To find this value, we need to calculate the mean of the daily means [tex](\( \overline{x} \))[/tex] which are 158.9, 151.2, 155.6, 155.5, and 154.6 mm. This is done by summing these values and dividing by the number of days (5 in this case).

[tex]\[ \overline{x} = \frac{158.9 + 151.2 + 155.6 + 155.5 + 154.6}{5} \][/tex]

[tex]\[ \overline{x} = \frac{775.8}{5} \][/tex]

[tex]\[ \overline{x} = 155.16 \text{ mm} \][/tex]

Hence, the value of  [tex]\( \overline{x} \)[/tex] is 155.16 mm.

ANSWER ONLY IF YK IT IM GIVING CORRECT BRAINLIEST

Factor the expression completely : -15x^3+5

Answers

Answer:

-5(3x^3-1)

Step-by-step explanation:

-15x^3+5

Factor out -5

-5(3x^3-1)

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2643 miles, with a standard deviation of 368 miles. If he is correct, what is the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles

Answers

Final answer:

To find the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles, use the Central Limit Theorem to approximate the distribution of sample means. Calculate the standard error using the formula: standard error = population standard deviation / sqrt(sample size). Then, standardize the sample mean using the z-score formula. Finally, find the probability using a standard normal distribution table or a calculator.Therefore, the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles is approximately 0.3595, or 35.95%.

Explanation:

To find the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles, we can use the Central Limit Theorem. According to the Central Limit Theorem, the distribution of sample means approximates a normal distribution, regardless of the shape of the population distribution, as long as the sample size is large enough (typically n ≥ 30).

First, we need to calculate the standard error, which is the standard deviation of the sampling distribution of the sample mean. The standard error is given by the formula: standard error = population standard deviation / sqrt(sample size). In this case, the population standard deviation is 368 miles, and the sample size is 44. Therefore, the standard error = 368 / sqrt(44) = 55.354 miles.

Next, we use the z-score formula to standardize the sample mean. The z-score = (sample mean - population mean) / standard error. Plugging in the given values, we get: z-score = (51 - 2643) / 55.354 = -0.3668.

Finally, we need to find the probability that the standardized sample mean (z-score) is less than -0.3668. We can use a standard normal distribution table or a calculator to find the corresponding probability. From the standard normal distribution table, we find that the probability corresponding to a z-score of -0.3668 is approximately 0.3595. Therefore, the probability that the mean of a sample of 44 cars would differ from the population mean by less than 51 miles is approximately 0.3595, or 35.95%.

whats the slope of the graph -4, 5 1,-7.5

Answers

Answer:

Slope (m)= -12.5/5= -2.5

-12.5/5 in fraction form

or

-2.5 in decimal form

Step-by-step explanation:

slope (m)= -12.5/5= -2.5

the points belong as a decreasing linear function

equation: y= -2.5x-5

What is 10x5??? Help

Answers

Answer:

The actual Answer is 10x5=50

Answer: 50

Step-by-step explanation: it’s like when you get 10 and add it up 5 times you get 50

Miss Perkins want to rent a car for a day. It will cost a daily fee of $75 plus $.55 per mile driven. M equals the number of miles Miss Perkins drive for the day. Write an expression that shows the amount she will pay for the car. Evaluate the expression you wrote to find them out Miss Perkins will pay if she drive 300 miles.

Answers

Answer:

.55M + 75 = the total cost

.55(300) + 75 = $240

Step-by-step explanation:

Help me! ? Its math and I I bad at it!!!!!!!

Answers

Answer:

C. 31

Step-by-step explanation:

(570.7 - n) ÷ 16

(570.7 - 74.7) ÷ 16

496 ÷ 16

31

PLLLLZZZ HELP ME. Given the function f(x)=3x^2-2x-5 : What are the zeros for this function? 5 extra credit points for an exact answer. 30 points if you get the exact answer and its 100% Correct.

Answers

Answer:

The zeros for this function are x = -1 and x = 1.67

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = (x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = 3x^{2} - 2x - 5[/tex]

The zeros of the function are the values of x for which

[tex]f(x) = 0[/tex]

Then

[tex]3x^{2} - 2x - 5 = 0[/tex]

This means that [tex]a = 3, b = -2, c = -5[/tex]

Then

[tex]\bigtriangleup = (-2)^{2} - 4*3*(-5) = 64[/tex]

[tex]x_{1} = \frac{-(-2) + \sqrt{64}}{2*3} = 1.67[/tex]

[tex]x_{2} = \frac{-(-2) - \sqrt{64}}{2*3} = -1[/tex]

The zeros for this function are x = -1 and x = 1.67


PLEASE HURRY THE PICTURES IS ABOVE!!

Which inequality is represented by this graph?

A. x>-53
B. x_<- 53
C. X<-53
D. x_>-53

Answers

Answer:

x ≥ -53

Step-by-step explanation:

There is a closed circle at -53 which means equal to

The line goes to the right which means greater than

x ≥ -53

Answer:

D) x>=-53

Step-by-step explanation:

A closed dot means -53 is included in the inequality as a solution, and since it's going right, it's greater than or equal to -53.

Find the area of the region under the graph of the function f on the interval [4, 8].
f(x) = 10/x^2

If you could show the steps and the answer, I would really appreciate it!

Answers

Answer:

[tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx = \frac{5}{4}[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \frac{10}{x^2} \\\left[ 4 ,\ 8 \right][/tex]

Step 2: Find Area

Substitute in variables [Area of a Region Formula]:                                   [tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx = 10 \int\limits^8_4 {\frac{1}{x^2}} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]:                     [tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx = 10 \bigg( \frac{-1}{x} \bigg) \bigg| \limits^8_4[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           [tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx = 10 \bigg( \frac{1}{8} \bigg)[/tex]Simplify:                                                                                                        [tex]\displaystyle \int\limits^8_4 {\frac{10}{x^2}} \, dx = \frac{5}{4}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

how do I find the answer to 3km 6hm 7dam 5m ÷ 15?

Answers

i believe the answer is (4.2)(10⁻⁵)

Final answer:

To solve 3km 6hm 7dam 5m ÷ 15, first convert the distance to meters (3675 m) and then divide by 15 to get 245 meters.

Explanation:

The question given by the student involves performing a division operation with a composite distance measurement in different units. First, we need to convert the entire distance into a single unit (meters) before we divide it by the given number (15).

To convert the given distance to meters, we use the metric system unit conversion:
1 kilometer (km) = 1000 meters (m), 1 hectometer (hm) = 100 meters (m), and 1 decameter (dam) = 10 meters (m). Therefore, 3 km is 3000 m, 6 hm is 600 m, 7 dam is 70 m, and adding the given 5 m to these conversions, we get a total distance of 3675 meters (3000 m + 600 m + 70 m + 5 m = 3675 m).

To find the final answer, divide 3675 meters by 15: which yields 245 meters. Thus, 3km 6hm 7dam 5m divided by 15 equals 245 meters.

Which expression is equivalent to 8-(6r+2)?

Answers

Answer:

6(1-r)

Step-by-step explanation:

8-6r+2

=6-6r

=6(1-r)

Write a polynomial equation of degree 4 that has the following roots : -1 repeated three times and 4.

Answers

Answer:

p(x) = x^4  - x^3  - 9x^2  - 11x  - 4

Step-by-step explanation:

You are saying there are  3 roots of  x = -1   and one  x = 4 root

so...

p(x)  =  [(x + 1)^3 ] * (x - 4)

p(x) =  (xxx  + 3xx  + 3x + 1 )*(x- 4)

p(x) = x^4  + 3 x^3  + 3x^2  + x  -  4x^3 - 12xx  - 12x  - 4

p(x) = x^4  - x^3  - 9x^2  - 11x  - 4

Answer: yes

Step-by-step explanation:

do u by chance still have access to those units on odyssey would love to get the answers lol.

He takes a random sample of 49 recent charterholders and computes a mean salary of $172,000 with a standard deviation of $35,000. Use this sample information to determine the 90% confidence interval for the average salary of a CFA charterholder.

Answers

Answer:

the 90% of confidence intervals for the average salary of a CFA charter holder

 (1,63,775 , 1,80,000)

Step-by-step explanation:

Explanation:-

random sample of n = 49 recent charter holders

mean of sample (x⁻) =  $172,000

standard deviation of sample( S) = $35,000

Level of significance α= 1.645

90% confidence interval

[tex](x^{-} - Z_{\alpha } \frac{s}{\sqrt{n} } , x^{-} + Z_{\alpha } \frac{s}{\sqrt{n} })[/tex]

[tex](172000 - 1.645 \frac{35000}{\sqrt{49} } , 172000 +1.645 \frac{35000}{\sqrt{49} })[/tex]

on calculation , we get

(1,63,775 , 1,80,000)

The mean value lies between the 90% of confidence intervals

(1,63,775 , 1,80,000)

Which of the following is an example of a subjective​ probability? A. Although College A has never played College B in​ basketball, a sports analyst believes there is a 0.8 probability that A will beat B in their upcoming game. B. Based on many years of​ data, an automobile insurance company estimates the probability that a randomly chosen​ 20-year old driver will have an accident during his 20th year as 0.001. C. After examining a deck of cards to determine that there are 52 cards of the correct suits and​ values, a card player says the probability of drawing the 7 of hearts is​ 1/52. D. After examining a coin to determine that it is an unaltered coin produced by the U.S.​ Mint, a gambler says the probability of a coin flip coming up heads is​ 1/2.

Answers

Answer:

The answer is option A.

Step-by-step explanation:

Subjective probability is defined as a probability which is derived from a person's own experience or belief without relying on any data or scientific calculation.

In the question, the situation given in option A is an example of subjective probability because the analyst is giving a probability based on his or her own belief without using any data at all.

The other options clearly state the probability is being calculated by relying on observations and data.

I hope this answer helps.

Final answer:

A subjective probability example is the belief of a sports analyst in the probability of one college team beating another, without prior data. This contrasts with objective probabilities based on statistical analysis or historical evidence.

Explanation:

The example of a subjective probability among the options given is when a sports analyst believes there is a 0.8 probability that College A will beat College B in their upcoming basketball game, despite there being no previous encounters between the two teams to base this on. This type of probability, which includes personal belief or judgment rather than empirical evidence and statistical analysis, contrasts with objective probabilities that rely on historical data, such as the probability of a 20-year old driver having an accident or the probability of drawing a specific card from a standard deck.

Subjective probability is used in situations where there is a lack of historical data or when assessing future events, making it a personal estimation. This approach is different from calculating probabilities based on observed outcomes and statistical independence, where the probability of events is determined through analysis and empirical evidence.

What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success​ p? Choose the correct forumla below.


A. Upper E (Upper X )equalsStartRoot np (1 minus p )EndRoot

B. Upper E (Upper X )equalsp Superscript n

C. Upper E (Upper X )equals (1 minus p )Superscript n(1 minus p )Superscript n

D. Upper E (Upper X )equalsnp

Answers

Answer:

[tex](D)E[ X ] =np.[/tex]

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success​ p,

[tex]f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq x\leq n[/tex]

[tex]E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}[/tex]

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

[tex]E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}[/tex]

Now,

[tex]x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)[/tex]

Substituting,

[tex]E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}[/tex]

Factoring out the n and one p from the above expression:

[tex]E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}[/tex]

Representing k=x-1 in the above gives us:

[tex]E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}[/tex]

This can then be written by the Binomial Formula as:

[tex]E[ X ] = (np) (p +(1 - p))^{n -1 }= np.[/tex]

Final answer:

The correct formula for the expected number of successes in a binomial experiment with n trials and probability of success p is μ = np (Option D), which means that the expected number of successes is calculated by multiplying the total number of trials by the probability of success.

Explanation:

The formula for the expected number of successes in a binomial experiment with n trials and probability of success p is given by μ = np. In this formula, 'n' represents the number of trials, and 'p' is the probability of success on each trial. Therefore, the correct option, in this case, is D. Upper E (Upper X ) equals np.

This essentially means that the expected number of successes is obtained by multiplying the total number of trials by the probability of success. For instance, if you were to flip a coin (where the probability of getting heads is 0.5) 10 times, the expected number of times you'd get heads would be 0.5 * 10 = 5.

Learn more about the Expected Number of Successes here:

https://brainly.com/question/35646493

#SPJ3

Does the equation specify a function with independent variable​ x? If​ so, find the domain of the function. If​ not, find a value of x to which there corresponds more than one value of y. 6 x plus 19 yequals7

Answers

Yes, the equation specifies a function with independent variable​ x.

Equation: 6x + 19y = 7

This can be put in y = mx + b form,

6x + 19y = 7

19y = -6x + 7

y = -[tex]\frac{6}{19}[/tex]x + [tex]\frac{7}{19}[/tex]

Since the equation can be put in the form of a linear function, the domain is all read numbers (-∞,∞) or -∞ < x < ∞ .

Final answer:

The equation 6x + 19y = 7 does not specify a function in terms of x because for each value of x, there exist multiple possible values of y. A specific example is shown when x = 1.

Explanation:

The equation "6x + 19y = 7" does not specify a function with the independent variable x. In a function, each input (x) corresponds to exactly one output (y). However, in this equation, each value of x corresponds to multiple values of y, thus it does not represent a function.

In order to find a value of x for which there are multiple corresponding values of y, we can set x to any arbitrary value. For example, if we set x = 1, we get "6(1) + 19y = 7", which simplifies to "19y = 1". This implies that there are infinite solutions for y when x = 1, confirming that the equation does not represent a function.

Learn more about Function & Domain

https://brainly.com/question/1942755

#SPJ3

find slope of P(0,0), Q(10,8)

Answers

Answer:

4/5

Step-by-step explanation:

We can find the slope when given two points by using

m= (y2-y1)/(x2-x1)

  = (8-0)/(10-0)

  =8/10

  = 4/5

Answer:

4/5

Step-by-step explanation:

How do I find the area of a circle with the diameter of 4

Answers

Answer:

use [tex]a = 1/4\pi d^2\\[/tex]

all you have to do is plug 4 into d and then square it, and multiply everything together.

Step-by-step explanation:

Michaela says that |3| is bigger than |-3|.
Is Michaela’s statement true or false?

Answers

Answer:

False

Step-by-step explanation:

Because with the lines on the outside automatically changes the number to a positive number so, therefor the numbers are equal hope this help.

Rate brainlest plz

Final answer:

Michaela's statement that |3| is bigger than |-3| is true.

Explanation:

Michaela's assertion that |3| is greater than |-3| is accurate. The absolute value of a number represents its distance from zero on the number line. In this case, |3| signifies a 3-unit distance from zero, and |-3| also corresponds to a 3-unit distance from zero. Since both values are equidistant from zero, their magnitudes are equal. Consequently, |3| and |-3| both have a value of 3, emphasizing that the absolute value of a number signifies its distance from zero, regardless of its sign, and in this case, both distances are identical at 3 units.

Learn more about Absolute Value here:

https://brainly.com/question/18731489

#SPJ11

Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. Use an expression to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric. *

Answers

Answer:

$70.77

Step-by-step explanation:

A=8.09s+3.79c

A=8.09(5)+3.79(8)

A=40.45+30.32

A=70.77

Answer:

$70.77

Step-by-step explanation:

5s+8c=?

5(8.09) + 8(3.79) = ?

40.45 + 30.32 = ?

$70.77

Find the exact circumference of a circle with the given radius.
7 feet
C=
75 ft.
145 ft.
275 ft.

Answers

Answer:

the answer is 44

you don't have the answer choice

Other Questions
Which expression shows partial quotients of 96 divided by 4?20 plus 410 plus 4 20 plus 2 plus 110 plus 10 plus 3 Can someone please help me answer this question ASAP What is the molarity of a solution containing 56 grams of solute in 959 mL of solution? (molar mass of solute is 26 g/mol) Identify the corrective control below. a. Reconciling the bank statement to the cash control account. b. Approving customer credit prior to approving a sales order c. Maintaining frequent backup records to prevent loss of data d. Counting inventory on hand and comparing counts to the perpetual inventory records the sum of 5 consecutive odd numbers is 505 How walmart motivate thier employees? Shelton Co. purchased a parcel of land six years ago for $858,500. At that time, the firm invested $130,000 in grading the site so that it would be usable. Since the firm wasn't ready to use the site itself at that time, it decided to lease the land for $46,500 a year. The company is now considering building a warehouse on the site as the rental lease is expiring. The current value of the land is $910,000. What value should be included in the initial cost of the warehouse project for the use of this land How does gods mercy enter into our salvation When buildings collapse, it is extremely difficult to safely locate and rescue people trapped inside. Victims may be wedged into small spaces, and unstable rubble could collapse on rescue workers. An alternative to human rescue workers may be robotic cockroaches. Real cockroaches are protected by strong yet flexible exoskeletons. They can also flatten their bodies through tiny cracks. A robotics researcher from Harvard University and a biomechanics expert from the University of California, Berkeley, were inspired to create mini robots that have the same features. The roach robots can squeeze through small spaces and skitter over unstable environments. Fitted with cameras and microphones, they could be used in disasters to locate victims. What is the main idea of the passage? A scientific theory never changes. ture or false ? What do you think George Washington meant when he once complained "we are one nation today and thirteen tomorrow. Who will treat with us on such terms?" What social norms is Meursault breaking in Chapter 1 in the stranger? Electric field lines:A. always surround a neutron.B. are visible to the human eye.C. are bent when two charges interact.D. always exert attractive forces. Why did Congress distribute materials and information about how to deal with a nuclear attack?A.to calm the publics fear about a nuclear attackB.to save peoples lives during an actual nuclear attackC.to slow the creation and development of nuclear weaponsD.to discourage the Soviet Union from using nuclear weapons A class of 24 students is having a drawing. Each student's name is placed on a piece of paper and then placed in a hat. One name is randomly drawn from the hat.If there are 12 boys in the class, what is the probability that the name drawn is a girl's? A. 1/2 B. 11/24 C. 11/12 D. 13/24 There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations that represents the situation and find out how many animals were horses and how many were chickens? In the neuron, the sodium-potassium pump helps to Pleassssdseee help meee A company has two classes of stock authorized: 9%, $10 par preferred, and $1 par value common. The following transactions affect stockholders equity during Year 1, its first year of operations: January 2 Issues 100,000 shares of common stock for $26 per share. February 6 Issues 2,100 shares of 9% preferred stock for $11 per share. September 10 Purchases 11,000 shares of its own common stock for $31 per share. December 15 Resells 5,500 shares of treasury stock at $36 per share. Required: Record each of these transactions. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.) Presented below is information for Oakley Company for the month of March 2020. Cost of goods sold $254,000 Rent expense $36,000 Freight-out 7,500 Sales discounts 8,800 Insurance expense 5,000 Sales returns and allowances 11,000 Salaries and wages expense 75,000 Sales revenue 425,000Prepare a multiple -step income statement.