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3 years ago

Solve the literal equation: -24x-12=4y-12x

Mathematics

1 answer:

Alborosie3 years ago

5 0

Answer:

y = 3(3x - 1)

Step-by-step explanation:

Given the equation :

24x-12=4y-12x

Collect like terms

24x + 12x = 4y + 12

36x = 4y + 12

4y = 36x - 12

Divide through by 4

4y / 4 = 36x / 4 - 12 / 4

y = 9x - 3

y = 3(3x - 1)

Hence, y = 3(3x - 1)

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2 years ago

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Ira Lisetskai [31]

Answer:

(a) -2.8

b) (1) Reject H0: p = 0.50 in favor of HA: p < 0.50; there is sufficient evidence to conclude that less than half of all UGA female students who, if they had a cell phone, would be willing to walk somewhere after dark that they would normally not go.

Step-by-step explanation:

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.

H0: p = 0.50

This means that:

$\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

In a random sample of 305 UGA female students, 128 responded that, if they had a cell phone, they would be willing to walk somewhere after dark that they would normally not go.

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

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Pvalue:

We are testing the hypothesis that the proportion is less than 0.5, which means that the pvalue of the test is the pvalue of z = -2.81.

Looking at the z-table, z = -2.8 has a pvalue of 0.0026

(b) What is the correct conclusion for this hypothesis test at the 0.05 level of significance?

0.0026 < 0.05, which means that we reject the null hypothesis, that the proportion is 0.5, and accept the alternate hypothesis, that the proportion is less than 0.5, option (1).

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