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frutty [35]
3 years ago
10

Please help me solve. I’ve looked everywhere for help.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

theese are supplementary angles as their sum is greater than 180

Step-by-step explanation:

supplementary angles: angles whose sum is <180

complementary angles: 2 angles whose sum equals 90 degrees

vertical angles: opposite angles

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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500
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Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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}.

For this problem, we have that:

n = 500, \pi = \frac{421}{500} = 0.842

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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3 years ago
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a blueprint of a house has a scale of 1 in=6ft. The living room has dimensions of 18 ft by 24 feet. what are the dimensions on t
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Lori buys a $586 certificate of deposit (CD) that earns 6.6% interest that compounds monthly. How much will the CD be worth in 1
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Answer:

<h2>$1344.9</h2>

Step-by-step explanation:

This problem can be solved using the compound interest formula

A= P(1+r)^t

Given data

A, final amount =?

P, principal = $586

rate, r= 6.6% = 0.066

Time, t= 13 years

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A= 586(1+0.066)^1^3\\\ A= 586*(1.066)^13\\\ A= 586*2.295\\\ A= 1344.87

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