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

Answers

Answer 1

Answer:

The answer is "1110, 20.4, and 31.408"

Step-by-step explanation:

For point a:

Given:

[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]

Calculating the SAT score:

[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]

For point b:  

Given:

[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]

Calculating the equivalent ACT score:

[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]  

For point c:

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

Calculating equivalent ACT score:

[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]


Related Questions

Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?

Answers

Answer: $156

Step-by-step explanation: 312 divided by 2 = 156

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

HURRYYY PLEASE AND THANK YOUUMrs. Green wants to make some toys for a store. She starts
working at 8 AM and stops at 12 PM everyday. The store needs
120 toys and requires Mrs. Green to make them in three days.
What must be her average rate of toys made per hour?
toys/hour
I
I
Enter the answer

Answers

Answer:

10 per hour

Step-by-step explanation:

Answer: 75

Step-by-step explanation:

Tell me if it’s wrong or not

21 x 15 = (20 + 1) x 15 =

Answers

Answer:

hello! have a good day!

21 x 15 = (20 + 1) x 15 = 315

AD is tangent to circle B at point C. What is the measure of angle BCA.

Answers

Answer:

90°

Step-by-step explanation:

Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.

AC is tangent and BC is radius.

Radius is perpendicular to the tangent.

Therefore,

measure of angle BCA = 90°

1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?


Pls help


A. 6.48%


B. 3.34%


C. 5.23%


D. 2.15%

Answers

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

What is the volume of this cuboid? Remember to include the correct unit of measurement

Answers

Answer:

100 cubic cm

Step-by-step explanation:

5 x 2 = 10

10 x 10 = 100

Answer:

hope it helped have a good day mate

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

For what value does (1/9)^a+1=81^a+1 12^2-a?

Answers

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]

Solve for x in equation x^2-10x25=35

Answers

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

Evaluate the expression.

2
3
(

7
)
+
2
3
(

5
)
3
2

(−7)+
3
2

(−5)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!

Which expression is equivalent to
14x-21
7
A. 2x - 21
B. 2x-3
c. 7x - 28
D. 7x - 14

Answers

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:b

Step-by-step explanation: took the test

which expression represents the product of 83 and x


83+x
83÷x
83x
83-x​

Answers

The answer is 83x hope this helps

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

[tex]express each ratio in its simplest form \: 18hours to 2day

Answers

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3

The sum of1/2 and 1/5 is between 1/2 and 1?

Answers

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Answer:

Step-by-step explanation:

a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches

Answers

Shorter Answer:

7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

Answer: 56 000 yards

LongerAnswer (going more into depth):

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches = 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch  

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

What is the property of 4x+6=18

Answers

Answer: 4x-6= 18

4x=24

x= 24 & 4

x=6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?  

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.

116.8 115.7 114.9 115.4 115.9

Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).

Answers

Answer:

a) The deviations from the mean

|x-x⁻|  :   1.06       |-0.04 |       |-0.84 |     |-0.34 |     | 0.16  |  

b)

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

Step-by-step explanation:

Step(i):-

Given that the sample observations

   x   :    116.8       115.7     114.9     115.4     115.9

Mean of the sample

                       = ∑ x/n

 Mean of sample x⁻  = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]

 Mean of sample x⁻ = 115.74        

Step(ii):-    

The deviations from the mean

|x-x⁻|  :  116.8-115.74       115.7-115.74   114.9-115.74  115.4-115.74   115.9-115.74

|x-x⁻|  :   1.06                 |-0.04 |               |-0.84 |         |-0.34 |             | 0.16  |  

|x-x⁻||²:    1.1236             0.0016             0.7056          0.1156             0.0256

The variance of the given sample observations

          S²  = ∑ (x-x⁻)² / n-1

         [tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

please help me ASAP thank you!!

Answers

The answer is 2 sqrt of 3 :) hope this helps

I wrote my last question wrong. What's 4w^2 if the w = 3?

Answers

Answer:

144

Step-by-step explanation:

1. Rewrite question since you know the variable. Rewritten it would be 4×3^2

2. Do multiplication. 4 times 3 is 12

3. Square 12 which means 12 times 12

4. 12 times 12 is 144.

Hopefully it's right!

HELP PLS THANKS :)))

Answers

ans of these is 180

Step-by-step explanation:

abckdkkdkekekekekeoe

Answer:

Step-by-step explanation:

Hollllaaaa

You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%

Answers

Take 177:23=7.6 approximately 7%

If you split the clock, which is a 360 degree circle into 10- minute intervals, what is the central angle of each interval?

Answers

Answer:

Since 15 mins are 90 degrees

10 mins are 60 degrees

1. Find the total surface area of the net below


Answers

Answer:

dfdg

Step-by-step explanation:

fd

when doing the increasing function do we use the exact point?

Answers

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

What is the distance, in units, between A(-4,-4)and (0,-2)

Answers

Answer:

2√5 ≅ 4.47

Step-by-step explanation:

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