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
shtirl [24]
2 years ago
11

A study was conducted on students from a particular high school over the last 8 years. The following information was found regar

ding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

Answer:

The answer is "1110, 20.4, and 31.408"

Step-by-step explanation:

For point a:

Given:

\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z

Calculating the SAT score:

=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110

For point b:  

Given:

\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\

Calculating the equivalent ACT score:

=19+0.3055 \times 4.7 \\\\ =20.43585 \approx  20.4  

For point c:

\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\

Calculating equivalent ACT score:

=19+2.64 \times 4.7 \\\\=31.408

You might be interested in
Please help with #2 and #4
Zinaida [17]

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k    -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57     -ADD THE -36 TO ITSELF AND -57-

-7k = -21

<u><em>k = 3</em></u>

<u><em /></u>

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40    -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

3 0
3 years ago
Read 2 more answers
Which choice is equivalent to(√6)( √8). How do you solve
beks73 [17]

Answer:

B

Step-by-step explanation:

(6)^1/2 × (8)^1/2

6^1/2 × 2 (2)^1/2

4 (3)^1/2

7 0
3 years ago
An endpoint and midpoint are given. Find the coordinates of the other endpoint. endpoint: (2,6), midpoint: (5,12)
hammer [34]

Answer:

I got (8, 18) for the other endpoint.

Hopefully this helps!

6 0
3 years ago
Justin gave the clerk $20 to pay a bill of $6.57. How much change will Justin get
IceJOKER [234]

Answer:

13.43$

Step-by-step explanation: just subtract 20-6.57

hint hint u can also use  a calculatr


4 0
4 years ago
Read 2 more answers
Show your work unit4/2 functions
jeka94

Answer:

hold on i think ik this

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • I don’t understand what to solve.
    13·1 answer
  • Solve for x 3x/4 + 3=27
    12·1 answer
  • Cheetahs are the fastest animals on four legs. They are capable of running at two different speeds. In a sprint, they can run 74
    7·1 answer
  • Point Kis on line segment JL. Given JL = 4x + 2, KL=5x– 6, and JK = 3x, determine the numerical length of JK.​
    8·1 answer
  • −2(x+1/4)+1=5 ​<br> whats the value of x
    8·1 answer
  • Which is the best estimate for the expression?<br> 49% of 15
    9·2 answers
  • 1. 7(6-(-4))<br> What is this I don’t know
    11·2 answers
  • You get paid ?10 per hour. You work 7 hours a day. You work 5 days a week. How much is your total pay each week?
    8·1 answer
  • What fraction is greater than 2/3
    7·1 answer
  • On Monday, a museum had 600 visitors. On Tuesday, it had 740 visitors. Estimate the percent change in the number of visitors to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!