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3 years ago

13

Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to

be 12 inches in length. Which could be used to find the width of her model if she used the same ratio?

1 answer:

AfilCa [17]3 years ago

7 0

Answer:

6 inches

Step-by-step explanation:

It is given that :

Length of the actual car = 8 feet

Width of the actual car is = 4 feet

Michelle is making a model of her car.

The length of her model car = 12 inches

Therefore, the ration is 3 : 2

So the width of the model car = 4 x 3/2

= 6 inches

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Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

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Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

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$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

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Item b:

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$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

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$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

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3 years ago

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