Is the following relation a function?<br><br> A. Yes<br> B. No

-8(r-2)=40 what is the answer to this equation

Elena-2011 [213]

The answer is r=-3. You use the distributive property which is basically multiplying -8 with all the numbers inside the parenthesis. So -8 x r and -8 x -2. This results to -8r+16=40 (Two negative numbers multiplied together will form a positive number). We use inverse operations to subtract 16 from both sides. 16-16 is 0 and 40-16 is 24. So we are left with -8r=24. We want to be left with only r, so we once again use inverse operations to divide -8 from both sides. -8/-8 is 1, and 24/-8 is -3. So we end up with r=-3. Hope this helped :]

6 0

3 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

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.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

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

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0

3 years ago

Which table represents a linear function?

GalinKa [24]

Answer:

The top right option.

Step-by-step explanation:

3 0

3 years ago

Write an equation that is parallel to y=-5/2x-5

NeX [460]

A parallel equation (when graphed) will have the same slope, but a different y-intercept.

As long as you keep y = - $\frac{5}{2}$ x + b, you can input anything for b to solve this question.

Given:

y = - $\frac{5}{2}$ x - 5

Equation of a parallel line:

y = - $\frac{5}{2}$ x + 6, y = - $\frac{5}{2}$ x + 1,356, y = - $\frac{5}{2}$ x - 8, etc

Example answer you can use:

y = - $\frac{5}{2}$ x - 8

6 0

2 years ago

Dan learned the mass of an electron is about 9.1×10⁻³¹ while the mass of a proton is about 1.7×10⁻²⁷. He thinks electrons have a

Lyrx [107]

Answer:so I will try.

Step-by-step explanation:but it might take a will

4 0

3 years ago

Is the following relation a function? A. Yes B. No