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3 years ago

You spend $4.50 to buy 6 cans of soda. How do you create a unit rate to find the cost per can?

1 answer:

kramer3 years ago

8 0

ANSWER- 0.75
Explanation- In order to make a unit rate you basically just divided. Like in this problem you divide 4.50 by 6 to figure out how much one can cost.

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MissTica

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3 years ago

There are 10 golf balls in a rectangular prism. Each golf ball has a diameter of 1.25 inches. Find the volume of the golf balls

lara31 [8.8K]

The answer is D.

The formula for the volume of a sphere is $\frac{4}{3} \pi r^{3}$

You would divide the diameter in half which would give you your radius (r).
Then you plug in the radius value to find the volume of ONE ball.
You would then multiply by 10 to find the volume of TEN golf balls.

D is the closest answer to the volume of ten golf balls

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3 years ago

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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2 years ago

Answer the following questions with the chart below.

MariettaO [177]

Answer:

Q1)$-95.75

Q2)$140.20

Q3)D

Q4)D

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1 year ago

Read 2 more answers

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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".

The population proportion have the following distribution

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

Solution to the problem

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago