Answer:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:

#We make h the subject of the formula the solve for it:

#Substitute to solve for height:

Hence, the prism has a height of 6 ft.
Answer:
x=7/3
Step-by-step explanation:
3(x-4)=-5
3x-12=-5
3x=7
x=7/3
The valid conclusions for the manager based on the considered test is given by: Option
<h3>When do we perform one sample z-test?</h3>
One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
- Population mean =
= $150 - Population standard deviation =
= $30.20 - Sample mean =
= $160 - Sample size = n = 40 > 30
- Level of significance =
= 2.5% = 0.025 - We want to determine if the average customer spends more in his store than the national average.
Forming hypotheses:
- Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get:

- Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically

where
is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:

The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here:
brainly.com/question/21477856
Factors of the given expression are 
Given expression is

<h3>What is a factor?</h3>
A factor is a number that divides another number completely.
Let us split the middle term as:

Therefore, factors of the given expression are 
To get more about factors visit:
brainly.com/question/9781037
Answer:
1/19
Step-by-step explanation: