A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard deviation of 50. The scores are reasonably normally distributed. Five students have parents who happen to be on the board of trustees, and these students were admitted with a mean GRE score of 490. Should the local newspaper editor write a scathing editorial about favoritism?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16[/tex]

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism


Related Questions

What is the y intercept?
Look at the picture. ​

Answers

Answer:

-1

Step-by-step explanation:

It hits the y-axis at -1, so the answer is -1.

Find the coordinate of the midpoint of HK if H(-1,2) and if K(-7,-4)

Answers

Answer:

(3, 0.5)

I hope this helps!

Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply.
(3, 1), (6, 2), (9, 3)
(2, 4), (4, 6), (7, 9)
(1.5, 3), (3, 6), (4, 8)
(3, 1), (4, 3), (8, 6)

Answers

Answer

The answer is (3, 1), (6, 2), (9, 3) and (1.5, 3), (3, 6), (4, 8)

Step-by-step explanation:

Answer:

(3, 1), (6, 2), (9, 3) and (1.5, 3), (3, 6), (4, 8)

Step-by-step explanation:

I JUST DID THIS PLS MAR BRAINIEST

Solve: 1606 ÷ 73 = ____

Answers

Answer:

22

Step-by-step explanation:

the answer is 22 duydtodogxhfydududurudyxhxoxitxyiydyid

Answer:

22..Hope it help you...

Step-by-step explanation:

1606/73=22

7,000,000 + 600,000 + 70,000 + 2,000 + 500 + 30 + 1 in standard form?

Answers

7,672,531 is the answer

Answer:

7,672,531

Step-by-step explanation:

because its a problem where you have to think about how you put them together

is this table a function?

Answers

Answer:

Yes

Step-by-step explanation:

Despite the fact that this has more than one Y value, It passes the line test

therefore, it IS infact a Function

(disregard that last one)

Answer:

Yes

Step-by-step explanation:

A graph is only a function when there is only one y value for each x value.

As you see, there are no repeated x values, so it is a function.

Hope this helps

WILL MARK BRAINLIEST!! Which of the following is true about the function below?

Answers

Answer:

it is B

Step-by-step explanation:

Answer:

D. is domain is (-10, infinite) and its range is (0, infinite)

Step-by-step explanation:

a p e x , just took the quiz

solve -11 - x + = - 5 (2x-3) + 7

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

[tex] - 11 - x = - 5(2x - 3) + 7[/tex]

[tex] - 11 - x = - 10x + 15 + 7[/tex]

[tex] - 11 - x = - 10x + 22[/tex]

Subtract the sides of the equation plus 11 :

[tex] - x = - 10x + 22 + 11[/tex]

[tex] - x = - 10x + 33[/tex]

Subtract the sides of the equation plus 10x

[tex]10x - x = 10x - 10x + 33[/tex]

[tex]9x = 33[/tex]

Divided the sides of the equation by 9

[tex] \frac{9}{9}x = \frac{33}{9} \\ [/tex]

[tex] x = \frac{33}{9} = \frac{3 \times 11}{3 \times 3} = \frac{11}{3} \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

20 poil
4. Ms. Lawson bought land at $780.20 per acre. Her total cost was
$9,674.48. How many acres of land did she buy?*

Answers

Answer: 12 for accurate 12.4

Step-by-step explanation: This is easy all you needed to do was divide 9,674.48 by 780.20 and get 12.4

IM PRETTY SURE ITS 12

What are the two numbers whose sum 8 and the product is 7​

Answers

Answer: 1 and 7

Step-by-step explanation:

Since 7 is prime, you only have 1 and 7 multiplied to get 7 and when added together, form 8.

3. Julio's dad bought 10 dozen potatoes. The potatoes were equally
divided into 6 bags. How many potatoes are in each bag?

Answers

Answer:

20 bags

Step-by-step explanation:

10x12=120

120/6=20

There u go :)

Answer:

there are 20 potatoes in each bag

Step-by-step explanation:

I'm pretty sure you have to multiply 10 x 12 because there are 10 groups of a dozen potatoes. you get 120 and then you divide 120 by 6.

1) 3 ± 4 2 5 Which number in the expression is a factor? A) 2 B) 3 C) 4 D) 5

Answers

Answer:

4

Step-by-step explanation:

because you can do 2x2=4 amnd 1x4=4 bnut u cant for the others.

Based on the table, which best predicts the end behavior
of the graph of f(x)?

Answers

Answer:

Step-by-step explanation:

It’s a

Answer:

D

Step-by-step explanation:

The product of x and 6 less than twenty.

Answers

Answer:

The answer is 20-6x

HELP! HURRY PLEASE!!!!! URGENTTTTTTTTT

Answers

Answer:

The slope of the line is 3.

Step-by-step explanation:

It is 3 because if you plug the numbers into the formula (y2-y1/x2-x1) you get 3/1, which simplifies to 3.

Step-by-step explanation:

Well you have to do y2-y1/x2-x1

Which you take the points (-4,2) and (-3,5). It doesn't matter what points you choose because they will end up as the same answer.

Now you do 5-2/-3-(-4)

I think you will be able to solve the answer now! Hope this helps <3

HELP RN!!!!!!!!! The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 seconds.



Use the graph of the function to determine which line segment represents each of the following scenarios.

The automobile is traveling at a constant speed what CD, BC, DE, AB

The automobile is traveling at an increasing speed what BC, DE, CD

The automobile is traveling at a decreasing speed what BC, CD, AB, DE

Answers

Answer:

BC, DE, CD

let me  know if that helps

Step-by-step explanation:

If 5/8 of the people in a water aerobics class are over age 65 and 1/4 of the people in the class are under age 40, what fraction of the people in the class are either over 65 or under 40?

Answers

Answer:

7/8

Step-by-step explanation:

You just need to add the two fractions together. Since no one can be both, no  other revision is needed.

5/8 + 1/4 = 5/8 + 2/8 = 7/8

whats 2 copies of 4 tenths?

Answers

Answer:

20 tenths

Step-by-step explanation:

please help with this! i have no idea how to do it

Answers

Answer:

The 3rd and the last one

I remember i had a a work like that before

Step-by-step explanation:

Alma pays $26.88 each week for gas and $24.95 every three months to change the oil in her car . how much does Alma pay in total for these every year?

Answers

Answer:

1,497.06 (probably wrong)

Step-by-step explanation:

1,397.26 in gas, cuz 52 weeks in a year (sorry if I multiplied wrong), and $99.80 for oil, cuz 12 months in a year. So the total is 1,497.06 (probably wrong)

Answer:

51.83 hope this helps!!! :)

Step-by-step explanation:

1 1  1

26.88

+24.95

------------

  51.83

Find all solutions y(real and otherwise)to the equation
y^8+16=17y^4

Answers

Answer:

y=2, y=-2     y = 2i, y= -2i     y = 1, y = -1     y = i,   y = -i

Step-by-step explanation:

y^8+16=17y^4

Subtract 17 y^4 from each side

y^8 - 17 y^4+16=17y^4-17 y^4

y^8 - 17 y^4+16 =0

Let x = y^4

x^2 -17x + 16 =0

Factor

( x-16) ( x-1) =0

Using the zero product property

x-16 =0  x-1 =0

x=16  x=1

Replace x with y^4

y^4 = 16      y^4 = 1

y^4 -16 = 0          y^4 -1 =0

Replace y^2 with z

z^2 -16 =0                       z^2 -1 = 0

( z-4) ( z+4) = 0               ( z-1) = 0   ( z+1) =0

z=4  z=-4                           z=1            z=-1

Replace z with y^2

y^2 = 4   y^2 = -4           y^2 = 1       y^2 = -1

Taking the square root

y=2, y=-2     y = 2i, y= -2i     y = 1, y = -1     y = i,   y = -i

Four times a number -2 is greater than 3+ twice that number

Need help

Answers

4x-2>3+2x this should be it

The bartender of a poolside bar prepares 96 fluid ounces of mocktail by blending the
juice of cranberries and oranges. He uses three times the amount of cranberry juice than
orange juice to prepare the mocktail. He also adds 24 ounces of lemon extract. How
many fluid Ounces of orange juice was used in all?

Answers

Answer: 18
3x + x + 24 = 96
4x + 24 = 96
4x = 96 - 24
4x = 72
x = 72/4
x = 18

Sarah invests $6000 in an annually compounded account with an interest rate of 1.7% for 8 years. what is the balance of her account after those 8years? Round to the nearest dollar. Do not round until the final step

Answers

$ 6,866.24

the interest is $ 866.24

Order and Operate

2(x + 6) – 4 + x

PLEASE HELP ASAP

Answers

Answer:

3x+8

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

2(x +6)-4 +x

2x+12 (distributive property)

2x+12-4+x

3x+8

Hope this helps :)

Answer:

3x+12

Step-by-step explanation:

Follow the PEMDAS/GEMDAS order. First, distribute the 2 to the numbers in the parenthesis:

2(x+6)-4+x

      ↓

2x+16-4+x

Then, subtract the numbers without a variable (the numbers without x):

2x+16-4+x

      ↓

 2x+12+x

Then, add the variables together (the numbers with x):

2x+12+x

     ↓

 3x+12

Hope this is the answer you need.

Which statement is false

Answers

d.It’s correct i did this

I need help with this problem, I don’t understand any of this

Answers

Answer:

distributive propertyaddition (subtraction) property of equalityadditive identity element (properties of real numbers)division property of equalitymultiplicative identity element (properties of real numbers)

Step-by-step explanation:

A lot of math is about identifying and matching patterns. Often, the patterns have an associated vocabulary. It helps to learn the patterns and the associated words.

__

Pattern: a(b +c) ⇔ ab +ac . . . description: distributive property

Pattern: a = b ⇒ a +c = b +c . . . description: addition property of equality

Pattern: a = b ⇒ a/c = b/c . . . description: division property of equality

Patterns: a -a = 0; a + 0 = a . . . description: properties of the additive inverse and the additive identity element

Patterns: a×(1/a) = 1; a×1 = a . . . description: properties of the multiplicative inverse and the multiplicative identity element

__

When parentheses come or go, the distributive property is usually involved. In the second line, you need to recognize that -2(3y) = -6y and that -2(-7) = +14. The result on the left is from applying the distributive property to remove parentheses.

The third line differs from the second line in that -14 shows up on both sides of the equal sign. This is a clue that the addition (or subtraction) property of equality is involved.

The fourth line differs from the third in that +14-14 disappeared from the left side, and -4-14 was replaced with -18 on the right side. The sum of a number and its opposite is zero, a property of the additive inverse. The fact that -4-14 = -18 is a property of real numbers. (You have to decide the best drop-down choice for that line.)

The fifth line shows both sides of the equation divided by -6. The multiplication (division) property of equality lets you do that.

The last line shows a simplification of the previous one. Again, the properties of real numbers and of the multiplicative inverse are involved. (You have to decide the best drop-down choice for that line.)

What is the answer.to
84.637 -28.56 =

Answers

Answer:56.077

Step-by-step explanation:

Answer: The answer is 56.077

Round 78482 to the nearest ten thousand

Answers

Answer:

80000

Step-by-step explanation:

Answer:

80,000

Step-by-step explanation:

In the figure below, m∠1 = 46°. Find m∠2​

Answers

Answer:

if its a 90 degree angle u will  say 90 -46 to get m<2

if is a 180 degree angle u will say 180-46 to get m<2

hope this helped :) brainliestn pls

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