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
DochEvi [55]
3 years ago
10

Suppose SAT Mathematics scores are normally distributed with a mean of 518 and a standard deviation of 113. A university plans t

o recruit students whose scores are in the top 9%. What is the minimum score required for recruitment? Round your answer to the nearest whole number, if necessary.
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer: the minimum score required for recruitment is 669

Step-by-step explanation:

Suppose SAT Mathematics scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = SAT Mathematics scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 518

σ = 113

The probability value for the top 9% would be (1 - 9/100) = (1 - 0.09) = 0.91

Looking at the normal distribution table, the z score corresponding to the probability value is 1.34

Therefore,

1.34 = (x - 518)/113

Cross multiplying by 113, it becomes

1.34 × 113 = x - 518

151.42 = x - 518

x = 151.42 + 518

x = 669 to the nearest whole number.

You might be interested in
NASA launched another space probe, Voyager 2 on August 20, 1977. Voyager 2 is a bit slower than Voyager 1 only traveling 15.4 km
slava [35]

Using proportions, it is found that it will take Voyager 2 82,900 years from its location to travel to the second closest star.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the Voyager 2 travels 15.4 km/s. In kilometers per year, considering that one hour has 3600 seconds, the measure is given by:

15.4 x 365 x 24 x 3600 = 485,654,400 km/year.

The distance to Proxima Centauri in km is given by:

d = |1.93 x 10^10 km - 4.24 x 9.5 x 10^12 km| = 4.02607 x 10^13 km.

Hence the time in years is given by:

t = d/v =  4.02607 x 10^13/485,654,400 = 82,900.

It will take Voyager 2 82,900 years from its location to travel to the second closest star.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
Will the measurements represent the side lengths of a right triangle?
sleet_krkn [62]
Yes it will, 6cm and 17.5
4 0
3 years ago
PLEASE HELP!!! WILL REWARD BRAINLIEST!!!
jonny [76]

Answer:

The approximate monthly rate of growth is 1.24%

Step-by-step explanation:

we have the future value formula

F=P(1+r)^t

we have

r=16\%=16/100=0.16 ----> annual interest rate

so

F=P(1+0.16)^t

F=P(1.16)^t

Find the approximate monthly rate of growth

Remember that

1\ year=12\ months

so

Divide the number of periods t by 12

F=P(1.16)^{\frac{t}{12}}

Applying power rules property

F=P(1.16^\frac{1}{12})^t

F=P(1.0124)^t}

1.0124-1=0.0124

Convert to percentage

0.0124*100=1.24\%

therefore

The approximate monthly rate of growth is 1.24%

6 0
3 years ago
Help what is 2v+5(3v+4
Artemon [7]

explanation:

There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.

4 0
2 years ago
If John has pairs of red, orange, yellow, blue and green socks, how many can he wear them in over 5 days, repetition is allowed
iren [92.7K]

Answer:

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

Step-by-step explanation:

John has pairs of red, orange, yellow, blue and green socks.

Which means that John has 5 different colors pairs of socks.

We are asked to find out in how many ways can he wear them over 5 days.

1st Day:

On the first day John has 5 ways to choose from.

2nd Day:

On the second day John has 5×5 ways to choose from.

(Since repetition is allowed)

3rd Day:

On the third day John has 5×5×5 ways to choose from.

4th Day:

On the fourth day John has 5×5×5×5 ways to choose from.

5th Day:

On the fifth day John has 5×5×5×5×5 ways to choose from.

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

7 0
3 years ago
Other questions:
  • My number has 2 digits and is even, the sum of my numbers digits is 10, the difference of the two digits of my number is 6, my n
    10·1 answer
  • If 4/5 X a= 2/5, what is a?
    12·2 answers
  • 20 is what percent of 52? Round your answer to the nearest tenth.
    6·2 answers
  • What is 2X + 2X +2 = 4X +2
    6·1 answer
  • 64 is 4 times the difference between a and 44, a is greater than 44
    6·1 answer
  • Is there anyone who can do my homework for me Its 30 questions
    8·1 answer
  • Christine bought lunch 15 times at school this month and spent a total of $49.50. Each of her lunches cost an equal amount
    11·2 answers
  • Simplify and then evaluate the equation<br> when a= 2 and b = 4.<br> b2 + 3(b – 62) – 2a= [?]
    13·1 answer
  • Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with
    11·1 answer
  • HELP ITS FOR MY EXTRA CREDIT!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!