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
Mazyrski [523]
3 years ago
15

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below t

he top 12% and above the bottom 61% C: Scores below the top 39% and above the bottom 21% D: Scores below the top 79% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 67.7 and a standard deviation of 7.8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer:

The minimum score required for an A grade is 77.

Step-by-step explanation:

When the distribution is normal, we use 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, we have that:

\mu = 67.7, \sigma = 7.8

Find the minimum score required for an A grade.

Top 12% of scores get an A.

100-12 = 88th percentile.

The 88th percentile of scores is the minimum required for an A grade. This score is X when Z has a pvalue of 0.88. So X when Z = 1.175.

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

1.175 = \frac{X - 67.7}{7.8}

X - 67.7 = 7.8*1.175

X = 76.865

Rounding to the nearest whole number:

The minimum score required for an A grade is 77.

You might be interested in
Students are selling candy bars to raise money for a class trip. The number of candy bars sold image, and the amount of money ra
storchak [24]

Answer:

B

Step-by-step explanation:

Because you divide b to e

1.3

8 0
2 years ago
Can you round these off to the nearest correct one place decimal ​
nataly862011 [7]

Question

can you round these off to the nearest correct one place decimal ​

Answer:

1. 7.8

2. 375.3

3. 72.7

4. 83.4

Hope this helps!!

xXxAnimexXx

 

6 0
2 years ago
1. Identify the a, b, and c in the function:<br> f(x) = 3x² – 9x +4<br> A= <br> B=<br> C=
morpeh [17]

Answer:

A=3

B=-9

C=4

Hope this helps ^^

7 0
3 years ago
Rearrange the equation so q is the independent variable. -7q + 12r = 3q - 4r
babunello [35]

Answer:

q = 8/5r or q = 1.6r

Step-by-step explanation:

-7q + 12r = 3q - 4r

+7q           +7q

12r = 10q - 4r

+4r           +4r

16r = 10q

/10    /10

16/10 = 8/5     8/5 = 1.6

<u>q = 8/5r</u> or <u>q = 1.6r</u>

5 0
3 years ago
(8.4×10−6)+(6.5×10−6)= urgent plz help :(
11Alexandr11 [23.1K]
Ok so you would times 8.4*10 and get 84-6 which is 78, and 6.5*10 which is 65-6, so then you get 78+59=137 :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone explain this to me??
    12·1 answer
  • Am I right?<br> I want to know if I am right
    11·2 answers
  • Help!!!!<br> Select the type of equations.<br> consistent<br> inconsistent<br> equivalent
    9·1 answer
  • Find the quotient and express it in the simplest form
    11·1 answer
  • DO THIS PLEASE!<br> STEP BY STEP
    13·1 answer
  • Write the slope intercept forms of the equations of the lines through the given point that is a) parallel to the given line and
    15·1 answer
  • Plz help will give magical powers if answered
    10·2 answers
  • Point A is located at (2, 4), After it is transformed, point A is located at (2,4), What could the
    9·1 answer
  • The sum of marshall and williams ages is 27 . William is 7 years older than marshall . What is marshall age
    8·1 answer
  • footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park,
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!