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
Advocard [28]
2 years ago
6

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

top 9% and above the bottom 61% C: Scores below the top 39% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that \mu = 72.3, \sigma = 8

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

1.34 = \frac{X - 72.3}{8}

X - 72.3 = 1.34*8

X = 83

The minimum score required for an A grade is 83.

You might be interested in
39545 rounded to the nearest thousand
KATRIN_1 [288]
It would be 40,000 if you rounded up
6 0
3 years ago
Read 2 more answers
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

4 0
3 years ago
Read 2 more answers
What is (2x^2+6x-3) added to (2x^3-3x+2)?
Bas_tet [7]
2x² + 6x - 3 + 2x³ - 3x + 2

Combine like terms

2x³ + 2x² + 6x - 3x - 3 + 2

Final answer:
2x³ + 2x² + 3x - 1
8 0
3 years ago
Read 2 more answers
Please helppppppppppppppppp
Anika [276]
The answer will be 40. As it doubles twice during 220mins- 10 to 20 and then 20 to 40.
8 0
3 years ago
Find the inverse of f(x)=7.50x
m_a_m_a [10]
there is no inverse though
8 0
2 years ago
Other questions:
  • A student is trying to find the sum of 5/6 + 3/4 + 1/5 They first tried to use 24 as a common denominator. Why does 24 not work
    7·1 answer
  • Find the value of x,y and z
    11·1 answer
  • What is the length of the unknown leg in the right triangle?<br><br> answers on second image.
    13·1 answer
  • Write <img src="https://tex.z-dn.net/?f=%28-%20x%5E%7B2%7D%29%20-4x%2B2" id="TexFormula1" title="(- x^{2}) -4x+2" alt="(- x^{2})
    9·1 answer
  • (1,46) (2,40) (3,39) (4,35) (5,30) (6,27) equation line of best fit
    15·1 answer
  • The velocity of sound in air is given by the equation v= 20 273+t here is the velocity in meters per second and is the temperatu
    11·1 answer
  • I need to find the x pls help and show work
    5·1 answer
  • A display case of video games is marked 1 for $12. If Erin has $216, how many video games can Erin get? (Assume no tax or other
    8·2 answers
  • -220+18z represents a submarine that began at depth of 220 feet below sea level and ascended at a rate of 18 feet what was the d
    15·1 answer
  • Oof. Answer 4 points. Random wins brainliest.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!