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4 years ago

What is the slope of the two containing point (2,5) and (7,25)

1 answer:

5 0

The slope of the two points is 20/5 Because it has to rise 20 points and run 5 points to the right which then using the rise/run makes 20/5. You can simplify this to the slope being 4/1 then because it is over 1, the final answer would be that the slope of the line that would connect the two points is 4.

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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

The value of the cumulative standardized normal distribution at 1.5x is 0.9332. the value of x is

ollegr [7]

Use the table of standardized normal cumulative function.

Look up the corresponding x' for the value z=0.9332: I found x'=0.8232 (approximately).

We know that x'=1.5x, so x = 0.8232/1.5 = 0.5488

3 0

4 years ago

Three black and three white beads are arranged on a string, forming a circular bracelet. how many different color patterns are p

Art [367]

Find the lgm possible... hope you get it!

8 0

4 years ago

Read 2 more answers

The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil.

AleksAgata [21]

Answer:

450L

Step-by-step explanation:

This is a ratio and proportion problem. First you need to determine the known ratio and the unknown ratio. In this case we have the known ratio:

$\dfrac{20 lbs}{3L}$

The unknown ratio in this case is:

$\dfrac{3,000lbs}{xL}$

So to do this, we just set up the proportion and solve for it:

$\dfrac{20lbs}{3L}=\dfrac{3,000lbs}{xL}\\\\{20lbs}=\dfrac{3L\times3,000lbs}{xL}\\\\{xL}=\dfrac{3L\times3,000lbs}{20lbs}\\\\{xL}=\dfrac{9,000L}{20}\\\\xL = 450L$

7 0

3 years ago

What is 1/2(16-x)=-12(x+7)

Svetlanka [38]

I hope this helps you

16-x= 2.-12 (x+7)

16-x= -24x -168

24x-x= -168-16

23x= -184

x= -8

8 0

3 years ago