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
zhenek [66]
3 years ago
6

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di

stribution of act scores in recent years has been roughly normal with mean μ = 20.9 and standard deviation σ = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean μ = 1026 and standard deviation σ = 209. joe scores 1351 on the sat. assuming that both tests measure the same thing, what score (±1) on the act is equivalent to joe's sat score? .
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Solution: We are given:

ACT scores follow normal distribution with \mu=20.9,\sigma =4.8

SAT scores follow normal distribution with \mu=1026,\sigma=209

Now, let's find the z score corresponding to Joe's SAT score 1351.

z=\frac{x-\mu}{\sigma}

        =\frac{1351-1026}{209}

        =\frac{325}{209}

        =1.56

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

z=\frac{x-\mu}{\sigma}

1.56=\frac{x-20.9}{4.8}

1.56 \times 4.8 = x - 20.9

7.488=x-20.9

x=20.9+7.488

x=28.388 \approx 28.4

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4    

You might be interested in
HELPPP ILL GIVE U POINTS​
GREYUIT [131]
The first one... |-100| > |50|
7 0
3 years ago
Help, I am unsure about what to do exactly
noname [10]
You plug in number for number getting 194.8 which is equal to 2931
4 0
3 years ago
Which equation represents exponential growth?
vredina [299]

Answer:

y=(7)^x represents the exponential growth

6 0
2 years ago
12,<br> Is this a discrete?
a_sh-v [17]
Yes it is a discrete
3 0
3 years ago
Find the value of the trig function indicated
taurus [48]

Answer:

Step-by-step explanation:

base x height divided by 2

4x3=12

12 divided by 2 = 6

6x5= 30

6 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the function rule for the following table:
    15·1 answer
  • At the track meet, Justin won the 100 meter race in 12.61 seconds. Shawn won the 200-meter race in 26.38 seconds. Which runner r
    8·1 answer
  • Write a whole number that is greater than 10910099999
    10·2 answers
  • Complete the equation of the line through (-6,-5) and (−4,−4)
    12·1 answer
  • edwardo wants to find the height of a building using the sun, his height, and similar triangles. He goes out during his noon lun
    8·1 answer
  • P(x) = 2x² + 1<br> What is the inverse for p(x)?
    15·1 answer
  • A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round
    10·2 answers
  • 5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
    13·1 answer
  • Can anyone help me with my homework
    12·1 answer
  • Solve the inequality as shown in the picture
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!