Answer: D) 
Step-by-step explanation:
Based on the provided information, we have
Sample size: n= 15
sample mean: 
Sample standard deviation: s= $20
Since the population standard deviation is not known, we utilize a t-test.
For a significance level of 95% confidence: 
Critical t-value : 
[Using the Student's t-value table]
The required 95% confidence interval yields:-
Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:
The factors of 36 include: 1, 2, 3, 4, 6, 9, 12, 18, 36.
For 34, the factors are: 1, 2, 17, 34.
The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.
Response:
The fence's length is expressed as 6.28x - 150 cm.
Detailed Breakdown:
Assuming the circular pool has a radius (r) of x cm.
As the pool is circular, its circumference represents the length of the fence. Additionally, subtracting the 150 cm for the gate gives us the actual length of the fence.
Length of fence = Circumference of pool – gate's width.
Length of fence = 2 π r – 150
Length of fence = 2 × 3.14 × x – 150
Therefore, the fence length is 6.28x – 150 cm.
Response:
a) 
b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.
Detailed explanation:
The relationship between the tank’s volume and time is given by:
Where V(0) indicates the starting volume and a denotes the hourly decrease.
a. Create a formula for v in terms of t.
The tank starts with 24 gallons of water, hence 
It drains steadily at 2 gallons each hour, therefore 
Then
b. When t progresses from 3 to 6, v changes from _________ to _________
So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.
No.
In order to conduct an analysis like this one, it is essential to select a RANDOM SAMPLE from the entire POPULATION involved in the study. For instance, Pete is attempting to gauge the overall satisfaction of his customers, therefore, he should distribute the surveys to a randomly chosen group of customers rather than only targeting those who have bought the most items. Doing so will yield results that are more REPRESENTATIVE of the overall customer satisfaction. If he limits the surveys to those customers who have purchased the most, he is likely to see inflated satisfaction levels, which would not truly reflect the general sentiment of all customers.
