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3 years ago

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A carpenter designs an A-frame chalkboard. Its support bars form the legs of an isosceles triangle.

1 answer:

ahrayia [7]3 years ago

6 0

angle for triangle is 180°

angle ACB is 75° because it has mention that is an isosceles triangle

So that angle of BAC is 180°-75°-75°=30°

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Cameron is a member of a national gardening club. she asked 200 of her fellow members whether they use compost to fertilize thei

krok68 [10]

Using the z-distribution, it is found that the 90% confidence interval for the true proportion of club members who use compost is (0.392, 0.508).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The estimate and the sample size are given by:

$\pi = 0.45, n = 200$

Hence, the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 - 1.645\sqrt{\frac{0.45(0.55)}{200}} = 0.392$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 + 1.645\sqrt{\frac{0.45(0.55)}{200}} = 0.508$

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

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Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet.

aivan3 [116]

Question 1.

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0.5x+y<20

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3 years ago

At the bowling alley, Ethans family spent $4 to rent shoes plus $8 for each game that they bowled. If they spent $36 total, how

stellarik [79]

Answer:

<h2>4</h2>

Step-by-step explanation:

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