Floretta's points per basketball game are normally distributed with a standard deviation of 4 points. If Floretta scores 10 points, and the Z-score of this value is - 4, then what is her mean points in a game? Do not include the units in your answer.
For example, if you found that the mean is 33 points, you would enter 33.

points.

Step-by-step explanation:

Let denote a normal random variable with mean and standard deviation . (That is: .) By definition, the -score of an observation with value would be:

.

In this question, the value of is given. Also given are the value of the observation and the corresponding -score, . Rearrange the -score definition to find an expression for :

.

.

.

Substitute in the value of , , and to find the value of , the mean of this normal random variable:

.

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The solution is in the following image

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

The answer is in the image