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

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

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

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...

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

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

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

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

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.

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

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

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.

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

Answers

Answer:39310

Step-by-step explanation:

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

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

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 :)

help me please.

Rounding questions.

Answers

Step-by-step explanation:

a) 6400

b) 4800

c) 32000

hope this answer helps you dear!

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 :)

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

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

Answers

Answer:

i dont understand what your asking

Step-by-step explanation:

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.

which relation is also a function

Answers

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

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

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

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

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

Answers

Answer:

equilateral

Step-by-step explanation:

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:

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!
Other Questions
Marques is a waiter at a restaurant. Each day he works, Marques will make aguaranteed wage of $25, however the additional amount that Marques earns fromtips depends on the number of tables he waits on that day. From past experience,Marques noticed that he will get about $14 in tips for each table he waits on. Howmuch would Marques expect to earn in a day on which he waits on 17 tables? Howmuch would Marques expect to make in a day when waiting on t tables? what were the effects of the postclassical slavery? 1. Why is the constitution of Nepal called federal democratic republican constitution? Mention it HELP ME SOLVE THIS PLSS There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking a banana, cherry, or a strawberry flavored candy from the bag? Write your answer as a simplified fraction in a/b form. Men from this explorer's expedition discovered Grand Canyon.Francisco Vasquez de CoronadoHernando de SotoSt. AugustineJacques Marquette The Conjure-Man Dies Throughout the excerpt, the author spends a lot of time describing physical locations. In a essay wrote atleast 300 words in length,anylize an instance from The Conjure-Man Dies where the author uses a description of place to help create specific mood. Use details from the text to illustrate your answer. PLEASE HELP!!What were some ways empires rose in West Africa? Why are medical exams usually required before getting a life insurance policy? - Your health status will determine is you are old enough for a policy. Your health status will determine what rate class category you are in. - If you are overweight you will not qualify to get life insurance. - If you smoke you will not qualify to get life insurance. This is a free 20 points going out to whoever needs it right now good luck! explain difference between Hajj and umrah (4 marks) 402/3333 simplified please What is the sum of the 15th square number and the 4th square number? Jonathan wants to separate stones, insects and other unwanted materials in his mixture of grains and corn. What technique of separating mixture is appropriate A. WinnowingB. physical manipulation C. FilteringD. Magnetism The defendant, Mr. Young, age 17, was convicted in a US District Court of treason and given a sentence of life without parole. He appealed his conviction to a US Court of Appeal on the grounds that a sentence of life without parole for a juvenile is unconstitutional under the 8th Amendment. The court of appeals affirmed his conviction of him. What court could he appeal to next and why? who do u love that matters in ur life Give two example of compounds words, clipped words and blended words with their meaning. The component form of a vector indicates the changes in x and y from thestarting point to the endpoint. What is the component form of this vector? How does biotic carbon change to the abiotic form of carbon if a system of equations have no solution, what does the graph look like?