Find two consecutive integers whose sum is 901.

Which table contains only corresponding x - values and y - values where the value of y is 3 more than the quotient of x and 2?

melisa1 [442]

Fr like whats the answer choice

6 0

2 years ago

Read 2 more answers

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

Convert y + 3 = -3(x + 5) to standard form.

emmasim [6.3K]

Hi there!

$y + 3 = - 3(x + 5)$
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

$y + 3 = - 3x - 15$
Now subtract 3 from both sides.

$y = - 3x - 18$
And finally add 3x to both sides.

$3x + y = - 18$
The 4th answer choice is correct.

6 0

3 years ago

David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on to

MAXImum [283]

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

4 0

3 years ago