Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT
exam have a N(μ = 500,σ = 100) distribution. Suppose Xiaoyu got a 27 on the ACT
exam, while Emily got a 720 on the SAT exam. Who has the higher relative score? Why?

Answers

Answer 1

Answer:

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Step-by-step explanation:

Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.

Xiaoyu:

z = [tex]\frac{27 - 18}{6}[/tex] = 1.5

Emily:

z = [tex]\frac{720 - 500}{100}[/tex] = 2.2

______

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.


Related Questions

Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º

1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.

Answers

Answer:

1

Step-by-step explanation:

It is the only one that makes sense!

(Apologies since this super late; I hope future students will find this helpful)

Answer:

An angle measures 90º if and only if the angle is right.

Step-by-step explanation:

See the image below :)

is it
A) equilateral
B)obtuse
C)isosceles
D)right

Answers

Answer:

equilateral

Step-by-step explanation:

I need help with this math

Answers

Answer:

D

Step-by-step explanation:

∠1 + ∠2  =  180   {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180      

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

     = 3*18 + 3

     = 54 + 3

∠2 = 57°

Answer:

Answer is option D) 57°

Here is the explanation...

Write an algebraic expression for: the quantity 2 plus 88y divided by 47

Answers

Write and algebraic expression for the quantity 2 plus 88y divided by 47. Your answer would be D.
Answer: D. 2+88y/47

If y varies directly as x, and y = 5 when x = 1.5, then find y when x = 105.

a. y = 78.75
b. y = 1.5
c. y = 707.5
d. y = 787.5

Answers

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/

B y = 1.5. Hftjchjbcjhccgjbv

When G(2,-6) is reflected in the line y = -2, the image is located at G |

Answers

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) =  2  therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6

 

(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

[tex]\sqrt{2,25}.1,46-2,25.0,02\\[/tex]

Answers

Answer:

i dont understand what your asking

Step-by-step explanation:

Please help me with this question and show your work please help me NOW

1.Consider the quadratic relation y = x^2 – 6x – 16.

a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.


2. Consider the quadratic relation y = 2x^2 + 6x – 80. a) Factor this equation by:
1. Determining the greatest common factor (GCF).

2. Factoring the equation using common factoring.

3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

Answers

Answer:

Step-by-step explanation:

1.Consider the quadratic relation y = x^2 – 6x – 16.

a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

(x+2)=0; x= -2

(x-8)=0; x = 8

2. Consider the quadratic relation y = 2x^2 + 6x – 80.

a) Factor this equation by:

1. Determining the greatest common factor (GCF).

The GCF is 2: 2*(x^2 + 3x - 40)

2. Factoring the equation using common factoring.

2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:

2*(x + 8)(x - 5)

3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

2*(x + 8)(x - 5)

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

0 = (x + 8) and 0=(x - 5); x = -8, and x=5

A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.

Answers

Answer:

104.80 cm²

Step-by-step explanation:

Formula to know:   Volume = e³ ; SA = 6e²

V = e³                       Substitute what you know  V = e³ and solve

73 = e³    

[tex]\sqrt[3]{73}[/tex] = e                   one edge of the cube  

Find the SA    

SA = 6e²                  Substitute the value for e      

SA = 6([tex]\sqrt[3]{73}[/tex])²

SA = 6([tex]\sqrt[3]{73} \sqrt[3]{73}[/tex] )

Sa =  104.80

if x is the exterior angle and 70 and 50 are its opposite interior angle of a triangle find x please help me ​

Answers

Answer:

x = 120

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = 70 + 50 = 120

Answer:

X=120

Step-by-step explanation:

exterior angle of triangle is equal to its two opposite interior angles .

hence, X= 70 + 50

= 120

At the end of a snowstorm, Grace had 15 inches of snow on her lawn. The
temperature then increased and the snow began to melt at a constant rate of 2.5
inches
per hour. Assuming no more snow was falling, how much snow would Grace
have on her lawn 2 hours after the snow began to melt? How much snow would Grace
have on her lawn after t hours of snow melting?

Answers

Part 1

The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.

Answer: 10 inches of snow

==================================================

Part 2

Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15

Answer:  Either 15-2.5t or -2.5t+15

Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new cell phone, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?

Answers

Answer:

900[tex]\geq[/tex]50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850[tex]\geq[/tex]10x

Divide by 10 to solve for x:

85[tex]\geq[/tex]x

Nick must work at least 85 hours.

which relation is also a function

Answers

I think its A. trust me. peksman. tiwala lang. kasi a function should be unique domains

Find the line of best fit for the relationship between calories and fat.

y=0.0714x-9.2682
y=1.2653x+14.452
y=2.5612x+4.9045
y=1.139x-6.7093

Answers

Answer: Choice A

y=0.0714x-9.2682

==============================================

Explanation:

I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.

Check out the diagram below.

help me please.

Rounding questions.

Answers

Step-by-step explanation:

a) 6400

b) 4800

c) 32000

hope this answer helps you dear!

the net force on a
rock with a mass of 20 kg is
196 N. What is the accelera-
tion of the rock?

Answers

w=mass x acceleration
196 N= 20a
a=9.8

which of the tables represents a function?

Answers

the answer is table d !! good luck :)

Equation: M+6/-3=4
What did you do?
Simplify/complete sentence

Answers

M + 6/-3 = 4
Following the order of operations, 6 divided by -3 is -2. So we can replace that with -2 and get:

M+-2=4

Adding a negative is the same thing as subtracting.
M-2=4

Then we can add 2 to both sides to get rid of the 2.
M-2+2=4+2
M = 6

Me and my mom are confused. Please help!!​

Answers

Answer:

0.05/min or plus 0.25 every 5 minutes

Step-by-step explanation:

To find the unit rate divide 0.25 by 5:

0.25 ÷ 5= 0.05

OR

After every 5 minutes, Eric has traveled 0.25 miles.

Hope this helps!

Should be 0.05 minute

s=c=xc we are looking for x

Answers

Answer:

X=1

Step-by-step explanation:

If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.

F(0)=4-8x indicate value

Answers

f(0)=4-8x
f(0)=4-8(0)
f(0)=4

Answer:

f(0) = 4

Step-by-step explanation:

F(x) = 4-8x

We know that f(0) = 4-8x

Thus we sub 0 for the x value, resulting in;

f(0) = 4-8(0)

f(0) = 4-0

f(0) = 4

Please help I need to finish his before school.

Answers

Answer: m = 1
b = 0
y = 1x + 0

Explanation:

The formula is

Y = mx + b

Where m is the slope and b is the y intercept.

So don’t the y intercept witch is 0 and the slope which is 1

Hope this helps

what is 5+8+*2-0/0+39284

Answers

Answer:39310

Step-by-step explanation:

v + w at v = 2, w =5

Answers

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

100 points
The average temperature of the earth's stratosphere is -70 degrees. The average temperature on the earth's surface is 57 degree. How much warmer is the average surface of the earth than the stratosphere?

Answers

Answer:127

all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57

What is the value of the correlation coefficient r of the data set?



Scatter Plot Correlation Data Table


−0.81


−1


0.66


0.81

Answers

The first option love!

Hi there I'm douing my homeworks and need to find Common Mistakes of these words if someone can help me I'll be happy thank you. :)

1. Rigid Transformation
2. Translation
3. Rotation
4. Reflection

Answers

The answer is 4) Reflection

Help please ill mark brainliest!

Answers

Answer: It will expand by 2 on each side

Step-by-step explanation: each side is 2 blocks long. 2×2=4 therfore the are becomes 16, and each sode is 4 blocks long. No, this is not true for evey square because not every square is a 2×2

A boy who weighs 66 Ib on earth 10.92 Ib on the moon.

How much will a man who weighs 185 Ib on earth weigh on the moon?

2,020.2

40.2

30.6

720.72

Answers

Answer: 30.6 in the moon

At the movie theatre, child admission is $6.40 and adult admission is $9.60. On Tuesday, four times as many adult tickets as child tickets were sold, for a total sales of $896.00. How many child tickets were sold that day?

Answers

Answer:

893

Step-by-step explanation:

you take away from the number and you can get your answer or you can do it different like add the number and get the number of children tickets were sold

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