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3 years ago

What is 4.7 times 10 to the negative third power (show your work)

1 answer:

4 0

Since we are working with an equation written in scientific notation and we are dealing with a negative exponent, we are going to divide 4.7 by 10 three times.

4.7 / 10 = 0.47

0.47 / 10 = 0.047

0.047 / 10 = 0.0047

Best of Luck!

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Draw the dilation of ABCD with center D and scale factor. Label the dilation (JKL.

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3 years ago

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is

insens350 [35]

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

$H_{0}: p \geq 0.16$

Testing this hypothesis, means that the alternate hypothesis is:

$H_{a}: p > 0.16$

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.

0.16 is tested at the null hypothesis:

This means that $\mu = 0.16, \sigma = \sqrt{0.16*0.84}$

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that $n = 200, X = \frac{24}{200} = 0.12$

Value of the test statistic:

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

$z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}$

$z = -1.54$

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

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2 years ago

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3 years ago

A gallon of milk in Oregon costs $2.50. The price of a gallon of milk in Hawaii is 3 times more than the price of a gallon of mi

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Answer:

$12.50

Step-by-step explanation:

First, find the cost of a gallon of milk in Hawaii by multiplying 2.50 by 3:

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Then, subtract this from 20:

20 - 7.5

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2 years ago

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Answer:

Step-by-step explanation:

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