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ahrayia [7]
3 years ago
6

Algebra 1

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

x + y = 186 \\ y - x = 32 \\ 2x = 186 - 32 \\ 2x = 154 \\ x = 77 \\ y = 77 + 32 = 109
X is 77
Y is 109
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Step-by-step explanation:

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3 0
3 years ago
Hi, can you please solve that fast?​
Elenna [48]

Answer:

A.

Step-by-step explanation:

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2 years ago
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3 years ago
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

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At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
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Step-by-step explanation:

8 0
2 years ago
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