Write a real-world situation that can be modeled by the equation 834 -14s = 978 -10s

Answer:

(27/36) = (3/4) = 0.75

Step-by-step explanation:

The complete question is attached to this solution.

P(9 or fewer boxes) = P(x ≤ 9)

Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).

Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.

So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.

This starts from the least number on the dotplot, 4 all the way to 9.

Total number of simulations = 36

P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)

= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)

Hope this Helps!!!!

This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).

This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.

The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.

Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.

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Answer:

Step-by-step explanation:

The factor pairs of 6 are 1×6 and 2×3

So the parallelogram (height by length) could be:

1 by 6  

2 by 3

3 by 2

6 by 1

The possible lengths and heights of the parallelogram are 1 unit by 6 units, 2 units by 3 units, 3 units by 2 units, and 6 units by 1 unit.

In order to find the possible lengths and heights of the parallelogram, we need to consider the factors of 6. The factors of 6 are 1, 2, 3, and 6. Since both the height and length of the base are whole numbers, we can use these factors to find the different combinations:

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Answer:

32 cents

Step-by-step explanation:

3.84 ÷ 12 = 0.32 so 32 cents

Answer:1000th

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

Step-by-step explanation

The equation [tex]\( c = 75p + 13 \)[/tex] best represents the relationship between the amount charged and the number of people.

Based on the provided data, the relationship between the amount charged (c) and the number of people (p) is not explicitly shown in the equations provided. However, the closest equation that reflects the relationship is:

[tex]\[ c = 75p + 13 \][/tex]

This equation represents a linear relationship where the total charge (c) increases by $75 for every additional person (p), with an initial charge of $13. Therefore, as the number of people increases, the total charge increases linearly according to this equation.

Answer:

32 is his cholesterol

Step-by-step explanation:

Answer:

c:0,1

Step-by-step explanation:

The correct groups of numbers could represent a success are,

⇒ 0, 1

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 20%.

Hence, If you want to represent a 20% chance of success, then 2 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 and 1 for the purpose.

Thus, The correct groups of numbers could represent a success are,

⇒ 0, 1

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Answer: 96 / 4 ^n-1

Step-by-step explanation:

This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:

24/96 = 1/4

a = 96

r = 1/4

The formula will be:

ar ^n-1

= 96 × (1/4)^n-1

The concluding part is explained in the attached file.

Answer:

96(1/4)^n-1

Step-by-step explanation:

Answer:

Given 40 years of time to plan in advance for retirement, Lynn would only need to save $25000 per year to end up with $1 million, which is attainable.

Step-by-step explanation:

Lets say that she starts planning for retire with 40 years in advance instead of just 15, if that is the case, then she would need to save $1.000.000/40 = $25.000 per year, which is a pretty big ammount but it is much more  attainable than $67000, since it is only a third of her annual income.

Answer:15 boys

Step-by-step explanation:

14+8

37-22

To find the number that, when added to 1/2, equals 7/8, you must subtract 1/2 from 7/8. The solution to this problem is 3/8, meaning that 1/2 plus 3/8 equals 7/8.

To solve the problem 1/2 plus what equals 7/8, you need to subtract 1/2 from 7/8. This is because you want to find out what number added to 1/2 will give you 7/8. Here is the step-by-step solution:

So, 1/2 plus 3/8 equals 7/8.

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Final answer:

To find the number that when added to 1/2 equals 7/8, convert 1/2 to 4/8 so both fractions have a common denominator. Subtract 4/8 from 7/8, resulting in 3/8. Thus, 1/2 plus 3/8 equals 7/8.

Explanation:

The student is asking us to find the number that, when added to 1/2, equals 7/8. To solve this, we need to find a common denominator, which is 8 in this case. For 1/2, we multiply the numerator and denominator by 4 to convert it to 4/8. Now we have a common denominator, so we can find the missing number.

7/8 - 4/8 = 3/8

Therefore, 1/2 plus 3/8 equals 7/8. This calculation is based on the intuition that a number is needed to bridge the gap between 4/8 and 7/8.

Answer:

2/5 or 0.4

Step-by-step explanation:

Let the number be x

75% of x = 30%

[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]

Answer:

$0.1395

Step-by-step explanation:

$2.79 x 0.05 = 0.1395

Answer:

14¢

Step-by-step explanation:

To solve this problem, we need to multiply 2.79 by 5%.

First, lets change 5% into a decimal as shown below:

5% -> [tex]\frac{5}{100}[/tex] -> 0.05

Now, lets multiply 2.79 by 0.05:

[tex]x=2.79(0.05)[/tex]

[tex]x=.1395[/tex]

The last step is to round our number. 0.1395 rounded to the nearest hundredth gives us .14 (14¢)

The sales tax being charged is 14¢

Answer:

m<t=113

Step-by-step explanation:

42+92+2x=360

x=113

m<t=113

Answer:

46

Step-by-step explanation:

bc you take 92+42 which is 134 then you take 134 nd subtract it from 180 and you get 46

Answer:

38.95

Step-by-step explanation:

[tex] \frac{19}{100} \times 205 = 38.95[/tex]

The 19 percentage of the number 205 is 38.95

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage value of the number be represented as A

Now , let the number be n = 205

Let the percentage be = 19 %

So , the value of A = n ( 19 % )

On simplifying , we get

A = 205 ( 19/100 )

A = 38.95

Therefore , the value of A is 38.95

Hence , the percentage value is 38.95

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Answer:

x=[tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

Answer: [tex]x=\frac{-5}{2}[/tex]

Flip the equation

[tex]Before:-10=4x\\After: 4x=-10[/tex]

Divide both sides by 4

[tex]4x/4=-10/4\\x=5/2[/tex]

Answer:15.5

Step-by-step explanation:4^2 + h^2 = 16^2

h^2 = 256 - 16 = 240 = 16*15

h = 4 square root 15

h = 15.5

Final answer:

The ladder will reach approximately 15.49 feet on the building, which can be determined by applying the Pythagorean theorem to the right-angled triangle formed by the ladder, the ground, and the building.

Explanation:

The student has asked a question involving the use of the Pythagorean theorem to determine the height a ladder will reach on a building when it is placed at a certain distance from the base of the building. To solve this, we can let the height the ladder reaches on the building be h feet. Since the ladder forms a right-angled triangle with the building and the ground, we can use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the sides of the triangle, and c is the length of the hypotenuse (the ladder).

Applying this formula:

Therefore, the ladder will reach approximately 15.49 feet high on the building.

Answer:

11 quarters and 3 dimes

Step-by-step explanation:

25 times 11 is 275

275+ 30= 305

quarter=25

dime= 10

Answer:

True

Step-by-step explanation:

Answer:

i believe true

Step-by-step explanation:

i worked it and i got the same answer

Answer: C Or the third answer

Step-by-step explanation:

You square root it and get x+b/2a=±(√b^2-4ac)/√4a^2 which is the third answer or c

Answer:

Third option

Step-by-step explanation:

(x + b/2a)² = (-4ac + b²)/4a²

Square root both sides

x + b/2a = +/- sqrt(b² - 4ac)/sqrt(4a²)

Answer:

787.5 cm^2.

Step-by-step explanation:

This consists of a parallelogram and a trapezium.

Area of parallelogram = 23 * 14 cm^2.

Area of the trapezium = 1/2 * (19) * ( 15 + 34)

Total area =  23 * 14  + 1/2 * 19 * 49

= 787.5 cm^2.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The area of the composite figure is 787.5 cm².

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

The area of the composite figure is the sum of the area of the parallelogram ABCD and the area of the trapezoid CDFE.

The area of the parallelogram ABCD is the product of its base and its height, therefore, the product of AP and AD.

[tex]\rm Area\ ABCD = 14 \times 23 = 322\ cm^2[/tex]

The area of the trapezoid is half the product of the sum of its bases and its altitude, therefore, half the product of the sum of DC and EF and the CQ.

[tex]\rm Area\ CDFE = \dfrac{1}{2} \times (15+34) \times 19= 465.5\ cm^2[/tex]

Hence, the area of the composite figure is 787.5 cm².

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Answer:

-35

Step-by-step explanation:

replace the blank with variable such as y

now the equation is -2y=70

divide -2 from both sides and you'll get y=-35

therefore the blank is -35

Answer: $297.14

Step-by-step explanation:

Let n be his pay,

X = n - n(17%)

X = n - n(0.17)

X = (358) - 358(0.17)

X = 358 - 60.86

X = $297.14

Answer:

[tex]a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716][/tex]

Step-by-step explanation:

a. -Given that:

[tex]n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64[/tex]

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

[tex]\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03[/tex]

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator,[tex]\bar x_m-\bar x_f[/tex] is calculated by the following following:

[tex]\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]

-And the margin of error, E at a 99% confidence can be calculated as:

[tex]E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416[/tex]

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

[tex]\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]

#We substitute to solve for the confidence interval using the standard deviation and sample size values in  a above:

[tex]CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716][/tex]

Hence, the 99% confidence interval is [51.2884,82.7716]

Using the information given and the z-distribution, we have that:

The standard errors are given by:

[tex]s_M = \frac{33}{\sqrt{41}} = 5.1537[/tex]

[tex]s_F = \frac{20}{\sqrt{37}} = 3.288[/tex]

The distribution of the difference is given by:

[tex]\overline{x} = \mu_M - \mu_F = 135.67 - 68.64 = 67.03[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{5.1537^2 + 3.288^2} = 6.1132[/tex]

The margin of error of the interval is given by:

[tex]M = zs[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.

Then, the margin of error is:

[tex]M = zs = 2.575(6.1132) = 15.74[/tex]

The margin of error is of $15.74.

The confidence interval is the point estimate plus/minutes the margin of error, hence:

[tex]\overline{x} - M = 67.03 - 15.74 = 51.29[/tex]

[tex]\overline{x} + M = 67.03 + 15.74 = 82.77[/tex]

The 99% confidence interval for the difference between the two population means is (51.29, 82.77).

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Answer:

I believe this would be a translation

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

You didn’t flip it you just moved it

Answer:

164°

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\overset {\frown} {JL} = 2 \times m\angle JKL\\

\therefore m\overset {\frown} {JL} = 2 \times 82°\\

\huge \red {\boxed {\therefore m\overset {\frown} {JL} = 164°}} \\ [/tex]

Answer:

164

Step-by-step explanation:

I learned about it.

Answer:

I believe the correct answer is normal

Step-by-step explanation:

Elise is correct if the data set is is normal.

The second and third quartiles, or the centre half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.

The term "interquartile range" is IQR.

Also, interquartile range can have another term as mid spread.

One must organise the numbers from lower values to higher values in order to determine this range.

This evaluates data set variability.

Thus, Elise is correct if the data set is Normal.

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Answer:

1.

y = 250x + 700

y = 250(15) + 700

y = 3750 + 700

y = $4450

2.

75 = 12x

75/12 = x

6.25 = x

6 1/4 days

Step-by-step explanation:

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