If a normal distribution has a mean of 132 and a standard deviation of 20 what is the value that has a z score of 2.4?

The value is 180

Step-by-step explanation:

The formula for z score is given by

       x - mean

z=    

       standard deviation

We know z= 2.4

We know the standard deviation =20

and we know the mean = 132

We can   find  x

         x - 132

2.4 =  

           20

Multiply each side by 20

2.4 *20 = x-132

48 = x-132

Add 132 to each side

48+132 = x -132+132

180 = x

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.