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
HELP MATH!!! PRE CAL
zvonat [6]

Answer:

f(x)=(x+3)(x-4)(x+3)

Would normally explain, but doing an exam rn. You got this!

3 0
3 years ago
marian is a sprinter, running short distances on the track team. she wants to find how fast she runs in miles per hour. what uni
Annette [7]
Meters and seconds.

Most short distance races involve meters and the timing is usually in seconds. She can use the information and convert it to miles per hour.
6 0
3 years ago
Determine the awnser to (-5) +4 and explain the steps using a number line​
Anna35 [415]

                                                    -5         0      4

                         <----------------------------------------------------------------->

(-5) + 4  =  -1  = 5 - 4 = 1  

(But take the symbol of the bigger number, which is 5)  (-)

Hope helps!-Aparri

4 0
3 years ago
Read 2 more answers
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
3 years ago
I need help with 25 and 26 plzz
Paha777 [63]

Answer:

Step-by-step explanation:

25.

Combine like terms.

4t+7=-33

subtract 7 from both sides

4t=-40

divide both sides by 4

t=-10

26.

Subtract 2a from both sides

5=7a-16

add 16 to both sides

21=7a

divideby 7 on both sides

a = 3

I'd suggest getting the app photomath or using cymath to help you with these problems. they give you the answer and how to get it step by step

8 0
3 years ago
Other questions:
  • isabel lives 3/4 mile from school, Janet lives 2/3 mile from school how much farther in miles does isabel live from school than
    14·2 answers
  • The manager of Wacky Widgets wants to figure out how much money the store made after expenses. Each widget sells for $50, and he
    6·2 answers
  • In a circle, a 90° sector has an area of 36π in2. What is the radius of this circle?
    10·2 answers
  • What is bigger 5 feet or 60 inches
    11·2 answers
  • Of the words, which is five-sixths of the list. How many words are on the list?
    10·1 answer
  • What is the volume of a cone with a radius of 4 cm and a height of 5 cm help
    7·1 answer
  • How many ounces are in 1/4 pound of ointment
    8·2 answers
  • josh receives a weekly paycheck from his job. at the end of the week he has $52 remaining. throughout the week he spent a third
    14·1 answer
  • Pick the correct description of the line 4x-2y=10
    7·1 answer
  • Which function is graphed below
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!