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3 years ago

Answers choices <1 <4 <2 <3

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

B) 4

Step-by-step explanation:

1. It is either 3 or 4, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, 4 is the only angle that is below its corresponding horizontal.

So, the angle of depression from the lighthouse to the boat is 4.

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A store owner makes a profit of $54 when he sells 9 jackets.How many jackets should he sell to make a profit of $270? jackets

Goryan [66]

First you have to find the cost of each jacket.
54/9=6 Each jacket cost $6
Then you get the total profit and divide that by the cost of each jacket.
270/6=45 (45 jackets)
Multiply 45 jackets by the cost ($6)
45*6=$270.
The answer is 45.

3 0

4 years ago

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H

vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

$H_0: \mu = 1872$

And the alternate hypothesis is:

$H_a: \mu > 1872$

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.

1872 is tested at the null hypothesis:

This means that $\mu = 1872$

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that $n = 40, X = 2031, \sigma = 373$

Value of the test-statistic:

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

$z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}$

$z = 2.7$

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0

3 years ago

A positive angle less than 360 degrees that is coterminal with -5 degrees is

nadya68 [22]

Answer:

$\theta = 355$