What is the volume of a rectangular prism whose length, width and height are 1/3m 1/5m and 1/7m, respectively?

Answer:

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out

Step-by-step explanation:

Step-by-step explanation:

Let the number to be identified be represented as x

Given, when rounded to the nearest 100 I am the smallest whole number that becomes 5,000

Therefore, the number is above 4000 and it is a whole number.

When rounded to the nearest 100, I am the smallest whole number that becomes 5,000

The smallest whole number must be 4950 when ronded to 100,it becomes 5000.

The number is 4950

Answer:

Step-by-step explanation:

£21000/7=3000

I got seven by adding 2 and 5

3000 times 2=6000

3000 times 5 = 15000

6000:15000

6000 for the venue

15000 for the band

The amount of money the venue makes from the ticket sales is  £6000.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The amount the venue makes =  2/7 x 21000 = £6000

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Answer:

Y=16928

Step-by-step explanation:

Answer:

  f(x) = 2/(x -1) +1

Step-by-step explanation:

  [tex]f(x)=\dfrac{x+1}{x-1}=\dfrac{(x-1)+2}{x-1}=\dfrac{x-1}{x-1}+\dfrac{2}{x-1}\\\\\boxed{f(x)=\dfrac{2}{x-1}+1}[/tex]

Answer:

30

Step-by-step explanation:

9x30= 270

270/9= 30

The result of 9 times 30 divided by 9 is 30.

To evaluate an expression in mathematics, means to find the value of the final answer after performing suitable arithmetic manipulations.

The operations required could be any combination involving addition, subtraction, multiplication, division etc.

From the information given in the question, we need to multiply 9 by 30 first,

9 * 30 = 270

Next, we divide the result by 9

270/9 = 30

The result is 30.

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Answer:

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

For this case the confidence interval obtained is: (23.6 ; 27.3)

And the best interpretation would be:

We have 95% of confidence that the true mean os ages of women who apply for marriage licenses in his county is between 23.6 and 27.3

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

[tex]\bar X[/tex] represent the sample mean for the sample  

[tex]\mu[/tex] population mean (variable of interest)

s represent the sample standard deviation

n=94 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

For this case the confidence interval obtained is: (23.6 ; 27.3)

And the best interpretation would be:

We have 95% of confidence that the true mean os ages of women who apply for marriage licenses in his county is between 23.6 and 27.3

Answer:

Probability that the test will lead the consumer group to "accept" the claimed mileage for this car is 0.00043.

Step-by-step explanation:

We are given that a consumer group plans to test whether a new passenger car that is advertised to have a mean highway miles per gallon of at least 33 actually meets this level.

It is believed that the population standard deviation is 3 mpg. Based upon this information, the "true" population mean is 32.0 mpg.

Let [tex]\bar X[/tex] = sample mean highway miles per gallon

The z-score probability distribution for sample mean is given by;

                        Z = [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)

where, [tex]\mu[/tex] = true population mean = 32.0 mpg

            [tex]\sigma[/tex] = population standard deviation = 3 mpg

            n = sample of cars = 100

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that a mean highway miles per gallon of at least 33 actually meets this level is given by = P([tex]\bar X[/tex] [tex]\geq[/tex] 33)

  P([tex]\bar X[/tex] [tex]\geq[/tex] 33) = P( [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{33-32}{\frac{3}{\sqrt{100} } }[/tex] ) = P(Z [tex]\geq[/tex] 3.33) = 1 - P(Z < 3.33)

                                                = 1 - 0.99957 = 0.00043

The above probability is calculated by looking at the value of x = 3.33 in the z table which has an area of 0.7673.

Therefore, the probability that the test will lead the consumer group to "accept" the claimed mileage for this car is 0.00043.

Answer:

No

Step-by-step explanation:

In different scenarios, the data will be different. However, sometimes, it's impossible to draw a histogram with equal widths, so in order to maintain clarity and fairness, the area of the bars should actually be proportional to the frequency, which is usually the y-axis of the graph or height of the bars.

Hope this helps!

Answer:

No

Step-by-step explanation:

Length is the frequency density which is obtained by:

Frequency/width

Height is not proportional to width.

Frequency is proportional to the area of the rectangle

Answer:

Step-by-step explanation:

I believe that it's 19pints I've had a problem with this question also but I believe I have the answer HOPE THIS HELPS

Final answer:

The mechanic used 31 pints of motor oil during the day.

Explanation:

Question: The mechanic started with 4 and one-half gallons of motor oil and ended the day with 5 pints remaining. How many pints of motor oil did the mechanic use during the day?

Step-by-step explanation:

Convert 4 and one-half gallons to pints: 4.5 gallons x 8 pints/gallon = 36 pints.

Subtract the remaining 5 pints from the initial 36 pints: 36 pints - 5 pints = 31 pints.

Therefore, the mechanic used 31 pints of motor oil during the day.

Answer:

the second digit from the decimal, round it based on the the thousandth if above 5 round it to the next number 4 and below round it to the same number

Step-by-step explanation:

say for example 10.246 this would round to 10.25

another example is 10.244 this would round to 10.24

Answer:

12

Step-by-step explanation:

Use pemdas. You do multiplication first.

3×3=9

3+9-3+3

Now add

3+9=12

Subtract:

12-3=9

Add:

9+3=12

Answer:

Your answer should be 18

Step-by-step explanation:

3 + 3 = 6

6 × 3 = 18

18 - 3 = 15

15 + 3 = 18

Given:

In ΔABC, AB = 5 unit, BC = 2 unit and ∠C = 90°

To find the The value of ∠B.

Formula

By Trigonometric Ratio we know,

[tex]cos \ \theta=\frac{adj}{hyp}[/tex]

Let us take ∠B = θ

With respect to θ, BC is the adjacent side and AB is the hypotenuse.

So,

[tex]cos \ \theta=\frac{BC}{AB}[/tex]

[tex]cos \ B=\frac{2}{5}[/tex]

     [tex]B=cos^{-1} (\frac{2}{5} )[/tex]

     [tex]B = 66.42^{\circ}[/tex]

Hence, the value of ∠B is 66.42°.

Answer:

each person gets 13 cards

Step-by-step explanation:

if each deck contains 52 cards and two of them are put together then it would be 52x2=104 divided by 8=13

When two decks of 52 cards each are combined and divided among eight players, each player receives 13 cards.

If two decks of 52 cards are combined, there would be a total of 104 cards (52 cards per deck × 2 decks). To find out how many cards each person gets when these are divided among eight players, we divide the total number of cards by the number of players:

Calculate the total number of cards: 52 cards/deck  imes 2 decks = 104 cards.

Divide this number by the number of players: 104 cards / 8 players = 13 cards/player.

So, each person would receive 13 cards.

Answer:

The predicted calories would be 403 calories.

Step-by-step explanation:

We have a linear regression model relating y: calories with x: carbohydrates, which has a slope of 4.0 and a y-intercept of 3.0.

Then, the model equation is:

[tex]y=4.0x+3.0[/tex]

With these model we can predict the calories values for any amount of carbohydrates, within the interval within which this model is valid.

If a new food is tested, and the number of carbohydrates (x) is 100, the predicted value will be:

[tex]y(100)=4.0(100)+3.0=400+3=403[/tex]

The predicted calories would be 403 calories.

Answer: A

Step-by-step explanation:

The best group to survey is option A. A.Get a list of salons in her town and use a deck of cards to pick 5 of them to visit. Survey all hairstylists that work in each salon.

Surveys represent the list of questions that should be focused on for extracting particular data from the people. It could be conducted via the phone, mail, internet, malls, etc.

Since mags want to know the hottest hairstyle trend so here he should get the list of towns and then use the deck of cards so that she should pick 5 for visiting them. Therefore, the correct option is a.

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Step-by-step explanation:

Create a row vector vA=1:3:34 that has 12 elements.

Matlab Code:

vA = [1:3:34]

Where vA = [starting element:difference:ending element]

Ouput:

vA =    1     4     7    10    13    16    19    22    25    28    31    34

Create a new nine-element vector vB from the elements of vA such that the first five elements are the first five elements of the vector vA, and the last four are the last four elements of the vector vA

Matlab Code:

% get first five elements from vector vA

vB1 = vA(1:5)

% get last four elements from vector vA

vB2 = vA(9:12)

% combine them together to form row vector vB

vB = [vB1, vB2]  (comma or space both are fine)

Ouput:

vB1 =       1     4     7    10    13  

vB2 =     25    28    31    34

vB =      1     4     7    10    13    25    28    31    34

Answer:

High school students and their parents are often bombarded with SAT test prep applications as they get closer to the college application process. Exam preparation offers arrive in the mail; they are sent home by schools, and they are not cheap. (The Princeton Review "Ultimate Classroom" course costs $ 1,199 in New York City.) When students take these courses and do not see their scores improve, parents may wonder if their children have studied enough or if they have wasted their money.

Step-by-step explanation:

Previous year, the NACAC released a report concluding that exam preparation courses have minimal impact on improving SAT scores: approximately 10-20 points on average in math and 5-10 points on critical reading. The Association for college administration report also noted that this evidence is "contrary to claims made by many test preparation providers of large increases of 100 points or more on the SAT."

Kathleen Steinberg, a College Board spokeswoman, says that, on average, students who take the SAT twice only "increase their scores by about 30 points."

He further disclose that "The College Panel does not indorse taking the SAT more than twice, as there is no evidence to indicate that taking the test more than twice increases grade performance."

Parents might also be surprised at the actual average SAT scores: 501 in critical reading, 515 in math, and 493 in writing, according to Steinberg. (The highest score you can get in any section is 800).

Kaplan claimed that The Princeton Review's claims for score breaks were based on comparing the results of Princeton Review's "diagnostic" tests with the students' self-reported scores on the actual SAT tests, as opposed to SAT scores previous and after.

Final answer:

Test-preparation organizations like Kaplan, Princeton Review, etc. often claim that students gain an average of 100 or more points on the SAT after taking their classes. While it is possible for some students to achieve a significant score improvement after taking these classes, it is important to note that the average improvement may not be 100 points for every student.

Explanation:

Test-preparation organizations like Kaplan, Princeton Review, etc. often claim that students gain an average of 100 or more points on the SAT after taking their classes. While it is possible for some students to achieve a significant score improvement after taking these classes, it is important to note that the average improvement may not be 100 points for every student.

The effectiveness of these classes depends on various factors, such as the student's starting score, their commitment and effort in the class, and their ability to apply the strategies they learn. Some students may experience a smaller improvement, while others may see a larger gain.

It's recommended for students to research and read reviews before choosing a test-preparation organization to ensure they are selecting a reputable program that aligns with their learning style and goals.

Step-by-step explanation:

I think when you will multiply 17 by 1 the answer is 17 so 17 = 17

Answer:

6n + M

Step-by-step explanation:

6 * n = 6n, 6n + M would be the answer

The expression is M +6n.

What is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

given statement:

M plus the product of 6 and n

So, first product of 6 and n

=6n

Now, M is added to the result

=M +6n

Hence, the expression is M + 6n

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Answer:

Decreased by 60%

Step-by-step explanation:

First take the difference to the original amount to the new amount to find the change. 285 - 114 = 171

171/285 = .6

Multiply that by 100 to get it's percent.

The amount of shirts sold decreased by 60%

Final answer:

The percentage decrease in the average number of shirts sold in the shop from 285 to 114 shirts is 60%.

Explanation:

The percentage decrease in the average number of shirts sold at the beach shop can be calculated using the following formula: Percentage decrease = ((Original Average - New Average) / Original Average) × 100. The original average is 285 shirts, and the new average is 114 shirts after the temperature decrease.

So, the calculation would be: ((285 - 114) / 285) × 100 = (171 / 285) × 100 = 0.6 × 100 = 60%.

Therefore, the percentage decrease in the average number of shirts sold in the shop is 60%.

Answer:yes

Step-by-step explanation:

Answer:

D. 100

Step-by-step explanation:

correct on edu2020

Based on the calculations, the measure of minor arc BD is equal to 100°.

Given the following data:

A line segment can be defined as a part of a line that is bounded by two (2) distinct points and has a fixed length.

Based on the information given, we can deduce the following:

Angle BAD = 2(BCA)

Angle BAD = [tex]2\times 40[/tex]

Angle BAD = 80°.

Also, angle ABC and ADC both have a measure of 90 degrees because angle BCD is a circumscribed angle.

Note: The sum of the interior angles in a quadrilateral is equal to 360°.

[tex]ABC + ADC + BAD + BCD = 360\\\\90+90+ BAD + BCD = 360\\\\180+ BAD + BCD = 360\\\\BAD + BCD = 360-180\\\\BAD + BCD = 180[/tex]

For the minor arc BD:

[tex]BCD =180-BAD\\\\BCD =180-80[/tex]

Angle BCD = 100°.

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Answer:

She should have multiplied the exponents instead of adding them.

Step-by-step explanation:

Lauren simplified the expression (m Superscript negative 7 Baseline) Superscript negative 5 as shown.

(m Superscript negative 7 Baseline) Superscript negative 5 = m Superscript negative 7 + (negative 5) Baseline = m Superscript negative 12 Baseline = StartFraction 1 Over m Superscript 12 Baseline EndFraction

Correct solution:

Correct answer option describing the error made:

Answer:

B

Step-by-step explanation:

Two consecutive odd integers are [tex]2k+1[/tex] and [tex]2k+3[/tex], for some integer [tex]k[/tex].

Their product is [tex](2k+1)(2k+3)=4k^2+8k+3[/tex].

Twice their sum is [tex]2(2k+1+2k+3)=2(4k+4)=8k+8[/tex]

Since the product is 1 less than twice the sum, we have

[tex]\underbrace{4k^2+8k+3}_{\text{the product}}=\underbrace{8k+8}_{\text{twice the sum}}-1[/tex]

So, we have

[tex]4k^2-4=0 \iff 4k^2=4 \iff k^2=1 \iff k=\pm 1[/tex]

If [tex]k=1[/tex], the integers are 3 and 5

If [tex]k=-1[/tex], the integers are -1 and 1.

In both cases, in fact, we have:

Answer:

Option A

The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

Step-by-step explanation:

Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.

If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0

though this doesn't mean we accept H0 automatically.

Now, applying this to our question;

The p-value is 0.023 while the significance level is 0.05.

Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

The only option that is correct is option A.

Answer: A: The p-value is less than the significance level, so we reject the null hypothesis. We can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

Step-by-step explanation:

Here, p value = 0.023

significance level = 0.05

As p value < 0.05

Answer:

2 mlies per hour

Step-by-step explanation:

She miles 1/2 mile every 15 minutes or 1/4 hours so

1/2*4=2 miles per hour

Answer:

2 miles

Step-by-step explanation:

if he swims 1/2 a mile in a 1/4 of an hour (15 minutes) then you will divide an hour by 4 to see how many times he swam. you should get 4 1/4 hours and then you will multiply 1/2 by 4.

in a nut shell you multiply 1/2 by 4 because he swam over the time of an hour.

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

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

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem, we have that:

[tex]n = 250, p = 0.49[/tex]

So

[tex]E(X) = np = 250*0.49 = 122.5[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9[/tex]

The mean of X is 122.5 and the standard deviation is 7.9.

Final answer:

The smallest perimeter for a rectangle with an area of 36 square inches is 24 inches, and the dimensions that achieve this are those of a square, specifically 6 inches by 6 inches.

Explanation:

The smallest perimeter of a rectangle with an area of 36 square inches is achieved when the rectangle is a square because the sides are equal, and a square minimizes the perimeter for a given area. The formula for the area of a square is area = side², so if we have an area of 36 square inches, the side length of the square is √36, which equals 6 inches. Using this side length, we can calculate the perimeter of the square, which is perimeter = 4 × side, giving us a perimeter of 6 inches × 4, which is 24 inches.

The smallest perimeter we can have is 24 inches, and the dimensions of the rectangle (in this case, a square) that give us this smallest perimeter are 6 inches by 6 inches.