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
Nadya [2.5K]
2 years ago
13

In 2016, the mean score on the AP Art History exam was 3.8, with a standard deviation of 1.2. The mean score on the AP English e

xam was a 2.9, with a standard deviation of 1.7. What is the combined mean and standard deviation for these exams?
A.) Mean, 0.9; standard deviation, 0.2
B.) Mean, 3.35; standard deviation, 2.9
C.) Mean, 3.35; standard deviation, 1.45
D.) Mean, 6.7; standard deviation, 2.08
E.) Mean, 6.7; standard deviation, 4.33
Mathematics
2 answers:
Ulleksa [173]2 years ago
8 0

Answer:

X+Y \sim N(\mu_X +\mu_Y , \sqrt{\sigma^2_X +\sigma^2_Y})

The mean is given by:

\mu = 3.8+2.9= 6.7

And the standard deviation would be:

\sigma =\sqrt{1.2^2 + 1.7^2} = 2.08

And the distribution for X+Y would be:

X+Y \sim N(6.7 , 2.08)

And the best answer would be:

D.) Mean, 6.7; standard deviation, 2.08

Step-by-step explanation:

Let X the random variable who represent the AP Art History exam we know that the distribution for X is given by:

X \sim N(3.8, 1.2)

Let Y the random variable who represent the AP English exam we know that the distribution for X is given by:

X \sim N(2.9, 1.7)

We want to find the distribution for X+Y. Assuming independence between the two distributions we have:

X+Y \sim N(\mu_X +\mu_Y , \sqrt{\sigma^2_X +\sigma^2_Y})

The mean is given by:

\mu = 3.8+2.9= 6.7

And the standard deviation would be:

\sigma =\sqrt{1.2^2 + 1.7^2} = 2.08

And the distribution for X+Y would be:

X+Y \sim N(6.7 , 2.08)

And the best answer would be:

D.) Mean, 6.7; standard deviation, 2.08

DiKsa [7]2 years ago
7 0

Answer: D

Step-by-step explanation:

You might be interested in
HELP IN TEST PLZ BRAINLY PLZ
Bingel [31]

Answer:

alligator mator

Step-by-step explanation:

5 0
2 years ago
a small box in the shape of a cube has a length of 5 inches. how many cubic inches will the box hold?
Mama L [17]

Answer:

125 cubic inches

Step-by-step explanation:

volume of cube is l^3 so 5^3 is 125.

6 0
1 year ago
Read 2 more answers
Find the product. Tell which strategy you used. 32 x 25 =
tatiyna
800 the strategy I used was adding 32 over and over 25 times
3 0
3 years ago
(I need someone to answer fast please and a clear answer too so ill mark them as brainlyest) :)
AVprozaik [17]

Answer: 12.6 m

Step-by-step explanation:

Use the pythagorean theorem, we get that the height, or x, is

sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m

4 0
2 years ago
Read 2 more answers
Use the figure to decide the type of angle pair that describes ∠6 and ∠4. corresponding angles alternate exterior angles alterna
Ivenika [448]

Answer:

its C

Step-by-step explanation:

I just saw that

5 0
3 years ago
Other questions:
  • Which is the same as dividing 23 by 7<br> ?
    8·2 answers
  • PLZ HELP
    11·1 answer
  • 2 ways to tell if there is a proportional relationship
    13·1 answer
  • Given matrices S and T below, which statement is true?
    9·2 answers
  • 30 is what percent of 180? round your answer to the nearest tenth
    9·2 answers
  • What is 19÷90×12<br><img src="https://tex.z-dn.net/?f=19%20%5Cdiv%2090%20%5Ctimes%2012" id="TexFormula1" title="19 \div 90 \time
    9·2 answers
  • Simplify <br> (7-8i)+(-12-4i)
    9·2 answers
  • I need help what is 1/3x-3?​
    11·1 answer
  • Michael's team is trying to determine how they can process shipments more quickly. He has convened a large group to come up with
    12·1 answer
  • A city has a 5% sales tax. Is there a proportional relationship between the cost of items before tax and the cost of items after
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!