A cylinder has a height of 10 inches and a radius of 5.5 inches. What is the

Korvikt [17]

Problem: Square root of x<12

To solve that, we square both size, x<144

Choices that is less than 144 are the correct answers

5 0

3 years ago

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A jewelry box has a volume of 14 cubic inches.The area of the base is 8 square inches. what is the height

AlekseyPX

The height of the jewelry box is 1.75. because the equation of a rectangular prism is V=Bh. so we already know the volume and the base so you just divide them and you get your height.

3 0

3 years ago

In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%

lions [1.4K]

Answer:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

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".

$p$ represent the real population proportion of interest

$\aht p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59$

And rounded up we have that n=350

6 0

3 years ago

Which of the following is an example of a quantitative variable?

egoroff_w [7]

Answer:

C) A person's height, recorded in inches

Step-by-step explanation:

Quantitative Variable:

A quantitative variable is a variable which can be measured and have a numeric outcome.
That is the value of variable can be expressed with numbers.
Foe example: age, length are examples of quantitative variables.

A) The color of an automobile

The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.

B) A person's zip code

Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.

C) A person's height, recorded in inches

Height is a qualitative variable because it can be measured and its value is expressed in numbers.

5 0

4 years ago

Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette whee

nikitadnepr [17]

Answer: -0.053

Step-by-step explanation:

1•(18/38) + -1 •(20/18) = -0.053

3 0

3 years ago

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