<h2><u>
Answer with explanation</u>
:</h2>
Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
Answer:
5
Step-by-step explanation:
To divide fractions, we multiply the first fraction by the <u>reciprocal </u>of the second fraction. (Seven over one)

Now, we convert the fraction into a mixed fraction.

<em>The quotient of 5/6 and 1/7 is 5 5/6</em>
Answer:
yes it is parallel because the alternate interior angles are equal
Answer:
40
Step-by-step explanation:
Ok, so basically let's start with a proportion.
x/32 = 11.25/9
Cross multiply:
x * 9 = 32 * 11.25
9x = 32 * 11.25
9x = 360
Solving for variable 'x'.
Divide each side by '9'.
x = 40
I don't know if this is the correct answer, but it was based on my math. I hope this helps!