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
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

You might be interested in
Jan needed to empty 18 gallons of water from a tub into jugs that hold 0.5 gallons of water. How many jugs did Jan need?
julsineya [31]
The answer would be 36 jugs 
5 0
3 years ago
Read 2 more answers
In a group of​ bird-watchers, 4 out of every 5 people have seen a bald eagle. What percent of the​ bird-watchers have not seen a
Andreas93 [3]

Answer:

20%

Step-by-step explanation:

4/5=.80

1-.80=.20

.20=20%

4 0
3 years ago
The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat
vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is  given that the

N (μ , σ).

Here μ is 2 hours then

μ  = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

5 0
2 years ago
) Josef paid $10 for 6 avocados at the Grocery Mart. He wants to know what the price would be
Amiraneli [1.4K]

Answer:

5.00

Step-by-step explanation:

the price for 3 avacados is 3.00 because 6 are 10 if you divide 10 by 2 you get 5

6 0
3 years ago
Read 2 more answers
Can you help with conversions
Tema [17]

Answer:

Please find pdf

Step-by-step explanation:

Download pdf
7 0
3 years ago
Other questions:
  • What are some examples of how you have used, or could use, algebraic equations to solve problems in your everyday life?
    6·1 answer
  • You want to put 520 Quarters in coin wrappers. You need one wrapper for every $10 in quarters. Write a equation you can use to f
    12·1 answer
  • Is x2 + 2y = 4 a function?
    5·2 answers
  • For her birthday, Samantha received a gift card, with a value of $200, to a department store. She wants to purchase at least 5 a
    11·1 answer
  • Enter an algebraic expression for the word expression.<br><br> The quotient of −8 and y
    5·1 answer
  • The cost of renting a video game is $4 per
    10·2 answers
  • At Lincoln High​ School, 6 students are members of both the Chess Club and the Math Club. There are 20 students in the Math​ Clu
    12·1 answer
  • Reflect -4,3 over the x-axis what is it
    8·1 answer
  • Find the equation to this line.​
    6·2 answers
  • Consider the ratio table.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!