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
Alik [6]
3 years ago
14

Suppose ACT Reading scores are normally distributed with a mean of 21.4 21.4 and a standard deviation of 5.9 5.9 . A university

plans to award scholarships to students whose scores are in the top 9% 9% . What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

Cross multiply

1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

Approximately, = 29.2

Step-by-step explanation:

You might be interested in
Helpndmdkdkdndnfndndkdkdmd
alekssr [168]

I read this story last year for my 7th grade year. The correct answer is A!

6 0
3 years ago
Brownies are now on sale. Each brownie costs $0.20 less than the original price. Right now, if you buy 8 of them it will cost $1
Airida [17]

Answer: The original price of brownie was $2.1 each.

Step-by-step explanation:

since we have given that

Let the original price will be x

Number of brownie purchased = 8

According to question , each brownie costs $0.20 less than the original price.

So, it becomes

8\times (x-0.20)=\$15.20\\\\8x-1.6=15.20\\\\8x=15.20+1.60\\\\8x=16.8\\\\x=\frac{16.8}{8}\\\\x=\$2.1

Hence, the original price of brownie was $2.1 each.

5 0
3 years ago
Does the image have rotational symmetry? If so, by how many degrees?
Goshia [24]

<em>☽------------❀-------------☾</em>

<em>Hi there!</em>

<em>~</em>

<em>Yes, the image has </em><u><em>rotational symmetry</em></u><em>. I think about </em><u><em>180 degrees</em></u><em> if i did this this right.</em>

<em>❀Hope this helped you!❀</em>

<em>☽------------❀-------------☾</em>

<em></em>

4 0
3 years ago
What is the sum of the interior
frutty [35]
N is the amount of sides
sum=13 times 180 =2340
7 0
3 years ago
PLEASE HELP!!!
Svetradugi [14.3K]
B or c for the equation because it is 1-n
8 0
3 years ago
Read 2 more answers
Other questions:
  • A meteorologist used the expression below to describe how the temperature changed. –5 + (–4) Which statement could describe how
    10·2 answers
  • A pumpkin has a mass of 314 ounces. what is the mass of the pumpkin in kilograms?
    10·1 answer
  • How do you put 2x+y=2 into slope intercept form
    9·2 answers
  • How many years from 1848-2015
    14·2 answers
  • I really need help with this I don’t understand
    14·1 answer
  • PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU
    13·2 answers
  • If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean i
    5·1 answer
  • Please help, test due in 2 hours! Will give good review and brainliest. :)
    6·1 answer
  • The variables x and y have a proportional relationship: when x is 4, y is 11.
    13·1 answer
  • Find the equation of the circle whose diameter is the chord x + y = 3 of the circle x2 + y2 - 2x - 3 = 0​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!