you score a 65% on your ap statistics exam and a 78% on your economics exam. the AP statistics scores were normally distributed with an average of 60% and a standard deviation of 6%. the economics scires were also normally distributed with an average of 75% and the standard deviation of 2.5%. In which class did you perform better relative to the class average? be sure to justify your answer​

Answers

Answer 1

Answer:

You performed better relative to the class average in your economics class.

Step-by-step explanation:

There are two classes.

AP statistics class and Economic class

Using the z score formula,

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

In the AP statistics class, you scored a percentage of 65%. The class average was 60%

x is the raw score = 65%

μ is the population mean = 60%

σ is the population standard deviation = 6%

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

In the Economics classes, you scored a percentage of 78% with a class average of 75%

x is the raw score = 78%

μ is the population mean = 75%

σ is the population standard deviation = 2.5%

z = (x-μ)/σ

z = (78 - 75)/2.5

z = 3/2.5

z = 1.2

Comparing the z score of both exams taken from different classes,we can see that your z score was higher in the Economics class compared to the A.P statistics class.

Therefore, you performed better relative to the class average in your economics class.


Related Questions

Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?

Answers

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

What times 55 would equal 200

Answers

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

The answer would be 3.6363 because it is the closest to 200

i need these two questions

Answers

4) the unit rate is 1 to 15

6) it would be 6$ for 4 pounds of fudge. If you divide 4.50/3 = 1.50 . that means that each pound costs 1.50. 1.50x 4 = 6.
therefore the answer is 6

Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain

Answers

terry should buy the half liters because 6 will be $14.34 and if he got the millimeters then it would cost him $20.28

Answer:

Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.

A company has been forced to reduce its number of employees. Today the company has 29% fewer employees than it did a year ago. If there are currently 142 employees, how many employees did the company have a year ago?

Answers

250 is not the answer

Step-by-step explanation:

Idk

Can u guys pls help this is due in 2 mins!

Answers

-3x + 3y = -18

-x + y = -6

-2x + 2y = -12

5x - 2y = 9

Adding,

3x = -3

x = -1

y = -6 +x = -6 - 1 = -7

Answer: B. (-1, -7)

Answer:

B

Step-by-step explanation:

At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Answers

Know a are:

CW=75. SL= 250. Y= 2x

CW= X= number of wings

SL= Y= number of sliders

X+Y= Total number of items, which can be rewritten as X+2X= total

Plug in the calories for the total

2(75X) +250X= 800

150x+250X= 400X= 800

X= 800/400=2 pieces of Slider

Double the amount for Wings=2x2=4

4wings/2 Sliders

The equations that  could be used to determine the number of chicken wings and sliders in the combination meal is:

75w + 250s = 800

w = 2s

Where:

w = chicken wings

s = sliders

The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.

The total calories of wings = number of wings x calories of each wing

75 x w = 75w

The total calories of sliders = number of sliders x calories of each sliders

250 x s = 250s

To learn more about simultaneous equations, please check: brainly.com/question/23589883

plzzzz do the right awnsers i failed the other on e plzz no du meys plzz i beg

Answers

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

0 = (x-4) (x-2)

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

(4+2)/2 = 6/2 = 3

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8

What is the medical term for infection of the gallbladder?

Answers

Answer:Cholecystitis

Step-by-step explanation:

Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.

Answers

Answer:

Step-by-step explanation:

well i just dont know whats going on but just times the number of songs times the Genre.

Answer:

448

Step-by-step explanation:

just because

Billy graphed the system of linear equations to find an approximate solution.
y=-7/4x + 5/2
y=3/4x-3

Answers

Answer:

(2.2, -1.35)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

The solution set to the systems of equations is where the 2 lines intersect.

Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b

Answers

Answer:

2(2x+19) would be your answer

Gavyn, David & Alex share some money in the ratio 5 : 3 : 4.
In total, Gavyn and Alex receive £99.
How much does David get?

Answers

Answer:396

Step-by-step explanation:

Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Explanation:

Plato

True or false
The solution to the inequality 5x+2<175x+2<17 is x<3x<3.

Answers

Answer:

I believe it is true. So sorry if it's not.

What is the equation of the line that passes through the points (1, –1) and (3, –7)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Meagan knits 1/10 of q scarf in 3/4 of annhour.What fraction of a scaf can megan knit in 1 hour

Answers

Answer:

2/15

Step-by-step explanation:

To solve this problem we just need to use a rule of three, relating the fraction of the scarf knitted and the amount of time.

So we have that:

1/10 of the scarf -> 3/4 hour

x of the scarf -> 1 hour

x * (3/4) = 1/10

x = (1/10) / (3/4)

x = (1/10) * (4/3)

x = 4/30 = 2/15

In one hour, Meagan knit 2/15 of the scarf.

[2x + 3y = 1][5x - 4y = 14]

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below. If these data are modeled by the line y = -5.9x + 850, which statement best describes a valid prediction the owner could make?

Answers

Picture of the question is attached below.

Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.

Step-by-step explanation:

The model depicted by the line equation:

y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.

-5.9x approximately -6x decrease for every 10F temperature increase.

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Simplify (2a^3 a^4)^5. Show all work.

Answers

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment

Answers

Answer:

Down payment is $258

Installment price is $1766.22

monthly payment is $83.79

Step-by-step explanation:

Down payment is 15% of $1,720 which is $258  (15%*$1720)

Monthly payment can be computed using pmt formula in excel

=pmt(rate,nper,-pv,fv)

rate is the interest rate per month which 4%/12=0.33%

nper is the number of months of payments that is 18

pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)

fv is the total finance amount plus interest which is unknown i.e 0

=pmt(0.33%,18,-1462,0)=$ 83.79  

installment price =down payment +total repayment

                             =$258+($83.79*18)=$1766.22

The zero(s) of the function : f(x)=x² - 2x +3 are_____________ *

Answers

Answer:

x = 1 ± i√2

Step-by-step explanation:

hope i helped

Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32

Answers

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Find the surface area.

Any help will be appreciated thank you!

Answers

Answer:

580 cm^2

Step-by-step explanation:

H = Height

L = length

W = width

2(HL)+2(WH)+2(WL)

= 2(20*10)+2(3*20)+2(3*10)

= 2(200)+2(60)+2(30)

= 400+120+60

= 580

you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.

a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?

Answers

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

convert 0.528 to a percent

Answers

Answer:

52.8%

Step-by-step explanation:

To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!

Percentage form of number 0.528 is,

⇒ 52.8%

We have to given that;

To convert 0.528 into a percent.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can change into a percent as,

⇒ 0.528

⇒ 0.528 x 100%

⇒ 52.8%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

The share price of Twitter Inc in September 2016 was $19.30. The next day price changed by -1.22%. Write an equation to describe the change in share price and find the value after the change.

Answers

19.3$ -(1.22%*19.3) =19.06

Use the order of operations to simplify 1 + 2(3 + 4.5) – 6.6.
Simplify the numbers inside the parentheses to get 1 + 2 (

) – 6.6.
Multiply from left to right to get 1 +
– 6.6
Multiply from left to right to then get 1 + 15 –
Add and subtract from left to right to get

Answers

Answer:

9.4 is your answer, i need to write more and i dont know why

what is the degree of the monomial? 5n3

Answers

Answer:

the 3rd degree

Step-by-step explanation:

its to the 3rd power

i think

Other Questions
While looking for weights, I did this write a paragraph using at least four words from the word bank . Which of these is most likely to be a typical issue separating opposing candidates in the national election? A. increasing the speed limit on interstate highways B. allowing fishing in national parks C. increasing the police in Washington, D.C. D. increasing the federal income tax Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent. 15 3 = Find the value of . A) 5 B) 12 C) 18 D) 45 how do I simplify this algebraic expression 3x+2a-4x A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute? A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag? 8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles. ~1) 8/1002) 2/133) 6/134) 4/13 what is -4 {2 - y} + 3y = 3 {y - 4} You pick one card from each set and find the sum. How many different sums are possible? Which are the two main political parties in the Untied States?O A.Green Party and Democratic Party?O B.Independent Party and Republic Party?O C.Republican Party and Democratic Party?O D.Republican Party and Reform Party? 5Select the correct answer.Which statement is a counterclaim to the argument that schools should require students to participate in sports?A. Parents, however, often voice the concern that time spent on sports can adversely affect a child's academic performance.OB. The spirit of sportsmanship can help one build good relations with people and go a long way in life.OC. Therefore, it is very important that children learn to balance their studies and sports.D. Nowadays, children experience a sedentary lifestyle as they mostly remain indoors with their laptops or mobile phones.ResetNext Nosotros queremos ir e un concierto elviernes o el sbado, pero cundo? Yono 1. irel viernes en la noche porquetengo que trabejer. Manolono 2. ir el sbado en la noche.Ane y Miguel no 3. irel viernes en lanoche y el sbado en la tarde no vana estar aqu. Enrique y su hermano no4. irel sabedo en la tarde porque vana un restaurante con su primo. Y Toni.tu no 5. re sebedo en la nocheCuando 6. ir todos nosotros What is the key building block of living tissue and ecosystems?Hope u can help! What type of graph does not show the mean? What is a custom or tradition practiced here in the United States? (notreligious) Which of the following words best replaces the underlined word in the sentence? The macellum had everything he needed for the evening.a.the hardware storec.the food marketb.the shedd.the pharmacy need help with this question 5. On what organ does alcohol have the most noticeable effect? What is the legacy of george HW brush's presidency?