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3 years ago

6

Sophia made a scale drawing of a museum in the drawing 3 inches represents 15 feet the length of one Gallery Wall on the drawing

is 3.5 inches what is the actual length of a Gallery Wall in feet

1 answer:

valentina_108 [34]3 years ago

8 0

Answer: 15’6

Step-by-step explanation: 15 feet and 6 inches

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6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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 of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

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 $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

Suppose you buy 3 pizzas for a party. Each pizza is cut into 8 slices. Twenty slices are eaten. How many whole pizzas are eaten?

vladimir2022 [97]

2 1/2 pizzas are eaten.

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3 years ago

Someone help what the area of Demi's poster

Airida [17]

the center square is 20 x 20 = 400

there are 4 12 x 20 areas

12*20 = 240*4 = 960

960+400 = 1360 square inches

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3 years ago

you run a business making birdhouses. you spend $600 to start your business, and it costs you $5.00 to make each birdhouse.

Alex787 [66]

Answer:

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Step-by-step explanation:

What is the question?

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3 years ago

A garden in the shape of an equilateral triangle

Strike441 [17]

Answer:

area is $25\sqrt{3}$

Step-by-step explanation:

the hight is $5\sqrt{3}$

$5\sqrt{3}$ *10/2= $25\sqrt{3}$

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3 years ago