1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nesterboy [21]
3 years ago
8

Your stats instructor graded your exams (0 to 100) and provided the exam summary statistics before returning the exam papers. Ex

ams scores were normally distributed with a mean of 70.5 and a standard deviation of 12.5. He assigns letter grades based on 100 points: 90 or higher is A; 80 < 90 is B; 70 < 80 is C; 60 < 70 is D; a
Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

The probability that a randomly selected student received a C or higher is 0.5160.

Step-by-step explanation:

Let <em>X</em> = scores received in an exam.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = 70.5 and <em>σ </em>= 12.5.

The stats instructor also graded the exams.

The grades were allotted as follows:

<u>Scores</u>    <u>Grades</u>

 > 90            A

90 - <80       B

80 - <70       C

70 - <60       D

  60 <           F

Compute the probability that a randomly selected student received a C or higher as follows:

P (C or higher) = P (X > 70)

                        =P(\frac{X-\mu}{\sigma}>\frac{70-70.5}{12.5})\\=P(Z>-0.04)\\=P(Z

*Use a <em>z-</em>table for the probability.

Thus, the probability that a randomly selected student received a C or higher is 0.5160.

You might be interested in
The ratio of girls to boys in art class is 4:5 if there are 32 girls how many boys are there?
dem82 [27]

Answer:

there are 40 boys

Step-by-step explanation:

32/4=8      5*8=40

8 0
3 years ago
G(x) = 1-3x when g(10)=
Tomtit [17]

Answer:

g(x)=1-3x

g(10)=1-3(10)=1-30=-29.

5 0
3 years ago
Solve the system of equations. 4x+2y+5z=8 5x+3y+4z=9 6x+3y+3z=3
Alchen [17]

Answer:

x = -4, y = 7,  z = 2.

Step-by-step explanation:

4x + 2y + 5z = 8......(1)

5x + 3y + 4z = 9......(2)

6x + 3y + 3z = 3......(3)

Subtract:  equation (2) - equation (3):

-x + z = 6 ........(4)

Multiply   (1) by 3 and (2) by 2:

12x + 6y + 15z = 24 .........(5)

10x + 6y + 8z = 18 ...........(6)

Subtract: (5) - (6):

2x + 7z = 6..............(7)

Multiply  equation (4) by 2:

- 2x + 2z = 12.........(8)

Add (7) + (8):

9z = 18 , so  z = 2.

Substitute for z in equation (4)

-x + 2 = 6

-x =  4 so x = -4.

Now find y by substituting in equation (1):

4(-4) + 2y + 5(2) = 8

2y =  8 + 16 - 10 = 14

y = 7.

3 0
3 years ago
The area of Mr. Harrison's rectangular vegtable garden can be reresented with the expression 8x + 16. Using the distrubutive Pro
ra1l [238]
I hope this helps you

7 0
3 years ago
Amanda's gross annual salary is $62,112
kherson [118]
Yeah true, need help with more?
4 0
3 years ago
Other questions:
  • The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?
    11·1 answer
  • David is 38 years old and his son Frank is 8. In how many years will David be twice as old as Frank?
    13·1 answer
  • This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
    10·1 answer
  • How do you find a vector of length 10 in the direction of v= &lt;3,-2&gt;?
    9·2 answers
  • Round .593 to the nearest tenths place value.
    12·1 answer
  • I have got this answered this but instructor give me comments of wrong answers
    5·1 answer
  • What is the difference between (-10)² &amp; -10²? What are the values for each expression?
    11·1 answer
  • A district-wide test is used to measure math attitude in freshmen in high school students, with a mean of 78 and a standard devi
    5·1 answer
  • PLEASE PLEASEPLEASE HELP HELP HELP ME IU BEG YOU
    5·1 answer
  • What is the sum of all of the single-digit positive whole numbers that evenly divide 72?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!