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3 years ago

Mary has a garden shaped like the figure below. The drawing is not to scale.

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

the answer is 200 square feet

Step-by-step explanation:

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What is the required sample size for the new study?

This is n for which M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

4 0

2 years ago

The width of a rectangle is 3 cm less than the length.The area of the rectangle is 10cm^2. Write an equation that models the sit

ludmilkaskok [199]

Answer:

width is 2 and length is 5

Step-by-step explanation:

7 0

3 years ago

The coordinates of a triangle

Molodets [167]

Draw the rectangle in the map and count the length, area, and perimeter

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3 years ago

Which point is located at -0.135? <br> A<br> B <br> C or <br> D

Sergeu [11.5K]

D as you can see on the number line d is 1/3 of the way to -2

6 0

3 years ago

Could you write 378972 with commas

horsena [70]

Yes, and it would be 378,972

Explanation:

3 0

2 years ago

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