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Vinil7 [7]
2 years ago
7

Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5

% F. Suppose that Sue took the exam and had a standardized score of 0.85. What letter grade will Sue get?
Mathematics
1 answer:
noname [10]2 years ago
5 0

Using the normal distribution, it is found that Sue will get a letter grade of B.

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem, Sue got a grade of 0.85, hence z = 0.85.

  • Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.

A similar problem is given at brainly.com/question/25745464

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1:5

Step-by-step explanation:

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3 years ago
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The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha
notsponge [240]
The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.
4 0
2 years ago
Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars. For how many days does Donald need to sell marbles to e
Harman [31]

Answer:

Donald needs 3 days to earn 3420 dollars

Step-by-step explanation:

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars

amount collected in one day= 760 \cdot 1.5=1140 dollars

In one day the amount earned is 1140 dollars

we need to find the number of days needs to earn 3420 dollars

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8 0
3 years ago
What three consecutive even numbers add up to 102?
Daniel [21]
So first you have to understand what consecutive numbers are.
Consecutive numbers are numbers like 4, 6, 8, 10, or 16, 18, 20. 

So let's set up an equation, using x as the first consecutive number. 
x + x + 2 + x + 4 = 102
Then simplify:
3x + 6 = 102
Subtract 6 from both sides.
3x = 96
Divide 3 on both sides:
x = 32

So the first number is 32, which means the other 2 numbers are 34, and 36. 
To check our answer, let's put the numbers in the equation.

32 + 32 + 2 + 32 + 4 = 102
Yep! That's correct.

The answer is 32, 34, and 36.

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
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Makovka662 [10]

Answer:

Step-by-step explanation:

y = 4.8x + C

53.8 = 4.8(4) + C

53.8 = 19.2 + C

C = 34.6

8 0
2 years ago
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