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3 years ago

Help the question is the picture

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

a>-21(1/3)

Step-by-step explanation:

3/4a>-16

first thing is to divide both sides by 3/4 to isolate the variable.

Since it is not negative, the sign stays the same.

-16/0.75=-21.3 repeating or just 1/3

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In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given

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Step-by-step explanation:

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2 years ago

In 2009, the national debt of a government was about $10.5 trillion. Using 308.0 million as the population for that year, abo

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Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

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3 years ago

Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased

lina2011 [118]

Answer:

The p-value of the test is 0.0207.

Step-by-step explanation:

Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).

The null hypothesis is:

$H_0: p = 0.6$

The alternate hypothesis is:

$H_1: p > 0.6$

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.

0.6 is tested at the null hypothesis:

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

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This means that $n = 100, X = \frac{70}{100} = 0.7$

Test statistic:

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

$z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}$

$z = 2.04$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.

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The p-value of the test is 0.0207.

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2 years ago

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Answer:

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