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brilliants [131]
4 years ago
6

Find the value of z.

Mathematics
1 answer:
avanturin [10]4 years ago
6 0

The 3 outside angles on a triangle need to equal 360 degrees.

Z + Z+25 + Z+17 = 360

Combine like terms:

3Z + 42 = 360

Subtract 42 from each side:

3Z = 318

Divide both sides by 3:

Z = 318/3

Z = 106

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4 years ago
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g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar
BaLLatris [955]

Answer:

The test statistic is z = 1.25

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

H_0: p = 0.8

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

H_a: p > 0.8

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.

80% is tested at the null hypothesis:

This means that \mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that n = 100, X = \frac{85}{100} = 0.85

The test statistic is

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

z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}

z = 1.25

The test statistic is z = 1.25

4 0
3 years ago
Please help :((((( only if you know though pls.
schepotkina [342]

Answer:

x=14

Step-by-step explanation:

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3 years ago
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Nikolay [14]

Answer:

180 or b

Step-by-step explanation:

3 times 60 is 180 because there are 60 seconds in a minute

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4 years ago
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Gekata [30.6K]

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

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