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
FrozenT [24]
3 years ago
5

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they f

ollow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228? Multiple Choice 0.0618 0.2390 0.7600 0.8212
Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

Step-by-step explanation:

Let X be the random variable that represents a score of Susan. We know that X has a normal distribution with average score of 225 and a standard deviation of 13. For n = 16 games, the average score \bar{X} has a normal distribution with mean of 225 and a standard deviation of 13/\sqrt{16}=13/4=3.25. Besides, the z-score related to 220 is (220-225)/3.25=-1.5385, and the z-score related to 228 is (228-225)/3.25= 0.9231. Therefore, we are looking the probability P(220 < \bar{X} < 228) = P(-1.5385 < Z < 0.9231) = P(Z < 0.9231) - P(Z < -1.5385) = 0.76

You might be interested in
Kyle sells used cars. He is paid $14/hour plus and 8% commission on sales. What dollar amount of car sales must Kyle make to ear
Kazeer [188]
First we have to find how much Kyle earned taking to consideration only 38h at work
So 38*14$=532$ 
Now, to find commission bonus we have to 1200-532=668
Finally, we can find what dollar amount of car Kyle must sell.
We know that 668 is 8% of that number. We can use proportion and cross multiplying, so:
8% ----------- 668
100% --------x
x= \frac{100*668}{8}=8350$ - its the result.
3 0
3 years ago
Please help you guys
Svetach [21]

Answer:

It should be 21.1

Step-by-step explanation:

5 0
3 years ago
HELP PLEASEEE I NEED HELP QUICK
madam [21]

Answer:

C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB

Step-by-step explanation:

As,

(a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2

7 0
2 years ago
Read 2 more answers
Which expression is equivalent to a + (c + 7)?
Vikki [24]

Answer:

(a+c)+7

Step-by-step explanation:

this is called the Associative Property

(x+y)+z=x+(y+z)

3 0
3 years ago
Read 2 more answers
What are the measures of Angles a, b, and c? Show your work and explain your answers.
jolli1 [7]
Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)
5 0
2 years ago
Other questions:
  • 20 points: please help me
    9·1 answer
  • 3.7, MACC.3.NF 1.1) or 4. Kylee bought a pack of 12 cookies. One-third of the cookies are peanut butter How many of the cookies
    8·1 answer
  • Distance between (-4,4) and (2,4)
    8·2 answers
  • Which of the following is NOT a principle of making inferences from dependent​ samples? Choose the correct answer below. A. The
    15·1 answer
  • You have $20 to spend. You buy socks that cost $3 per pair. Write an algebraic expression for the amount of money you have left
    14·2 answers
  • Will mark brainliest!
    9·2 answers
  • [X + y] + 3w? Helpppppp
    15·1 answer
  • How do i report a moderator?
    14·2 answers
  • Please help due in 3 min
    6·2 answers
  • Perform the indicated operations. Write the answer in standard form, a+bi.<br> 6(-8-9i)+8i(-9-8i) =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!