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
telo118 [61]
3 years ago
9

Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella's points per bowling ga

me are normally distributed. Let X= the number of points per bowling game. Then X∼N(152,14.5)______.
If necessary, round to three decimal places.
Suppose Isabella scores 187 points in the game on Sunday. The z-score when x=187 is ___ The mean is _________
This z-score tells you that x = 187 is _________ standard deviations.
Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

Step-by-step explanation:

Problems of normally distributed samples are 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 Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 152, \sigma = 14.5

The z-score when x=187 is ...

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

Z = \frac{187 - 152}{14.5}

Z = 2.41

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

You might be interested in
Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.
Lemur [1.5K]

Answer:

0.4

Step-by-step explanation:

40% is 0.4

Remember the tenths places

Hope this help:)

If it does please subscribe To Rilo Productions

5 0
2 years ago
Find mGM if KP = PL and GH = 36 ft.​
Otrada [13]

Answer:

arc GM = 77°

Step-by-step explanation:

full circle = 360°

arc GMH = arc GNJ, so:

arc GMH = (360°- 52°)/2 = 154°

because line MP is perpendicular to line GH, arc GM = arc MH

arc GM = 154°/2 = 77°

6 0
3 years ago
What value of z makes this equation true?
Ymorist [56]

Answer:

B. 66

Step-by-step explanation:

73+25 = 98

Z = 98-32

Z = 66

5 0
2 years ago
An object with a mass of 3.2 kg has a force of 7.3 newtons applied to it. What is the resulting acceleration of the object?
e-lub [12.9K]
Answer : 10.5

Hope it helps
3 0
2 years ago
Gemma's soup recipe is shown in the table above.What is the radio of chicken stock to mixed vegetables? Express the ratio as a f
mars1129 [50]
Ratio of chicken stock to mixed vegetables is 3.5 to 8
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which situation can be represented by this equation?<br> 1/2x + 20 = 32
    10·1 answer
  • What is the relationship between the 6s in the number 660,472?
    15·1 answer
  • A train 120cm can pass through a bridge while traveling at 80m/s in 10 s.how many seconds would a train 90m long take if i
    6·1 answer
  • Each ___ real number has no real square root. What is the answer on the line?​
    12·1 answer
  • How much simple intresteded is earned on an investment of 1,250 if the money is invested for 5 years at an annual intresteded ra
    7·1 answer
  • Please help!
    7·1 answer
  • If something cost $3.50 and you give them $10. what is your change?
    13·2 answers
  • Jacqueline is taking a quiz in her science class. Each problem has only 1 correct answer. Problem 1 has answer choices A through
    5·1 answer
  • HELP ME PLSSS SUMMER SCHOOL A HARD
    12·1 answer
  • What is the measure of the missing angle
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!