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4 years ago

9

.15 ÷ 180

align="absmiddle" class="latex-formula">

1 answer:

sergeinik [125]4 years ago

8 0

The answer is 0.08333333 hope this helps =)

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A publisher reports that 35% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

Leviafan [203]

Answer:

The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Step-by-step explanation:

A publisher reports that 35% of their readers own a laptop.

This means that the null hypothesis is:

$H_0: p = 0.35$

A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

This means that the alternate hypothesis is:

$H_{a}: p \neq 0.35$

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.

0.35 is tested at the null hypothesis:

This means that $\mu = 0.35, \sigma = \sqrt{0.35*0.65}$

A random sample of 190 found that 32% of the readers owned a laptop.

This means that $X = 0.32, n = 190$

Z-statistic:

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

$z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}$

$z = -0.87$

pvalue of the test and decision:

As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87

Looking at the z-table, z = -0.87 has a pvalue of 0.1922

2*0.1922 = 0.3844

0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

5 0

3 years ago

Which of the following expressions represents the phrase "19 less than a number"?

kipiarov [429]

A, because n is having 19 taken from it

5 0

4 years ago

Read 2 more answers

The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

iren [92.7K]

Answer:

r=-6

Step-by-step explanation:

$m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6$

8 0

3 years ago

Steven Kellogg, a machine operator, works at an hourly rate of $10.60 and

il63 [147K]

Answer:

$Straight\ Time\ Pay = \$392.2$

$Overtime\ Pay = \$42.4$

$Total = \$434.6$

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

Hours worked = 37 hours

Overtime = 8 hours

Calculating the Straight Time Pay

$Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked$

$Straight\ Time\ Pay = 37 * \$10.60$

$Straight\ Time\ Pay = \$392.2$

Calculating the Overtime Pay

$Overtime\ Pay = Overtime\ Rate * Overtime\ Hours$

<em>Since, overtime rate is half of hourly rate; we have</em>

$Overtime\ Pay = \frac{\$10.6}{2} * 8$

$Overtime\ Pay = \$5.3 * 8$

$Overtime\ Pay = \$42.4$

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

$Total = Straight\ Time + Overtime$

$Total = \$392.2 + \$42.4$

$Total = \$434.6$

7 0

3 years ago

Find the values of x and y.<br><br> Show steps

algol [13]

Answer: x=90° y=43°

Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.

3 0

3 years ago