Answer:
0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Step-by-step explanation:
Mean = 
Standard deviation = 
We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00
P(14<x<16)
Formula : 
At x = 14


Refer the z table for p value
P(x<14)=0.1922
At x = 16


Refer the z table for p value
P(x<16)=0.6141
P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42
So, Option C is true
Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Let's call the lengths of our two types of sides <em />

and

.
The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus,

.
Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:

Now, let's solve for y.



Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is

inches and the length of our smaller side is simply

inches.
To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔
Answer:
840
Step-by-step explanation:
Since the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So

So the correct answer is:
840
Answer:
(1/2, 5)
Step-by-step explanation:
8x + 7y = 39
-2(4x - 14y = -68)
-8x + 28y = 136
8x + 7y = 39
add the two equations together
35y = 175
y = 5
8x + 7(5) = 39
8x = 4
x = 1/2
Answer;
The generator was not fair.
Explanation;
The number generator is not fair. This is because the correct percentage of black socks was not chosen at all.