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natali 33 [55]
3 years ago
9

Calculate the GPA of a student with the following grades: B (77 hours), D (66 hours), F (2020 hours). Note that an A is equivale

nt to 4.04.0, a B is equivalent to a 3.03.0, a C is equivalent to a 2.02.0, a D is equivalent to a 1.01.0, and an F is equivalent to a 00. Round your answer to two decimal places.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

The student's GPA is of 0.82.

Step-by-step explanation:

GPA:

To find the student's GPA, we find his weighed mean.

Grades:

7 hours worth 3(B)

6 hours worth 1(D)

20 hours worth 0(F). So

M = \frac{7*3 + 6*1 + 20*0}{7+6+20} = 0.82

The student's GPA is of 0.82.

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Complete the paragraph below. The standard deviation is used in conjunction with the​ ______ to numerically describe distributio
Bumek [7]

Answer:

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So

The standard deviation is used in conjunction with the​ mean to numerically describe distributions that are bell shaped. The​ mean measures the center of the​ distribution, while the standard deviation measures the​ spread of the distribution.

4 0
3 years ago
The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb
Lubov Fominskaja [6]

we are given

F(d)=0.77d^2-1.32d-9.31

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

F'(d)=0.77\times 2d-1.32\times 1-0

F'(d)=1.54d-1.32

now, we can set it to 0

and then we can solve for d

F'(d)=1.54d-1.32=0

1.54d-1.32=0

so, we get diameter as

d=\frac{6}{7}inch..............Answer

6 0
3 years ago
2(9x - 1) = 99-7(3 - 4x)<br> help please
Bogdan [553]

Answer:

x = -8

Step-by-step explanation:

Distribute on both sides

combine constants

combine variables

then divide

6 0
3 years ago
Read 2 more answers
What is the trip fuel cost for a 600 mile trip if the average cost per mile of a car is
larisa [96]

Answer:

C. $114

Step-by-step explanation:

Take the cost per mile times the miles traveled.

0.19 x 600 Multiply

114

4 0
4 years ago
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What would be the equation to you have a part time job. You work for 3h on Friday and 6h on Saturday. You also recieve an allowa
HACTEHA [7]

Answer:

Step-by-step explanation:

So, to go about your question, we must first ask, how many hours a week is being worked?

In this problem, that is 9 hours per week.

Next, we must question how much per week is made

That is $92 per week

Finally, we must determine if the allowance is occuring many times in the week or just once.

In this problem, that is only occuring once for the week.

So, the equation we must setup is 9x +20 =92.

To solve the equation, we need to subtract 20 on both sides to isolate the variable, x.

9x+20=92

     -20     -20

Now our equation is

9x=72

Now, to finally get x by itself or to isolate x, you should divide 9 on both sides to cancel out the 9 being multiplied by the x.

<u>9x</u>=<u>72</u>

9     9

x=8 because of 72/9 is equal to 8.

I hope this helps, and I will answer any questions you have.

5 0
2 years ago
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