In order to help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed. Round to two decimal places.

Answers

Answer 1

Answer:

92.99

Step-by-step explanation:

Mean, μ = 122.6

Standard deviation, σ = 18

Recall :

Z = (x - μ) / σ

x = score

The Zscore for the lower 5% = 0.05

Using, invnorm(0.05) = - 1.645

Put Z = - 1.645

-1.645 = (x - 122.6) / 18

-1.645 * 18 = x - 122.6

-29.61 = x - 122.6

-29.61 + 122.6 = x

x = 92.99


Related Questions

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

8 x 9/3= x 1/3
What number makes the equation true?

Answers

Answer:

72

Step-by-step explanation:

3×(8×9/3=X1/3) then 8×9=X, then X=72

I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3

Answers

Answer:

lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb

Step-by-step explanation:

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg


Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).​

Answers

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.

How much would my grade go down?

PLEASE HELP ME

Answers

Answer:

you got 21.5/50 on final grade

and aslo follow me for more information

A type of fish for your aquarium costs ​$8 each. You can spend at most ​$48. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Cost of fish = $8

You can spend at most ​$48

How many of these fish can you​ buy?

Let

x = number of fishes you can buy

The inequality is

8x ≤ 48

Divide both sides by 8

x ≤ 48/8

x ≤ 6

1.) The check number on a check:

A.) identifies the bank and is located at the bottom left corner of the check.

B.) identifies the bank and is located at the top right corner of the check.

C.) identifies the transaction and is located at the bottom left corner of the check.

D.) identifies the transaction and is located at the top right corner of the check.

E.) None of these choices are correct.

Answers

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.


Find the rate of change from the table.

Answers

Answer:   15

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

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Which polynomial represents (3x2 + x - 4)(2x - 5)?

A.6x3 + 13x2 + 3x - 20

B.6x3 - 13x2 - 13x + 20

C.6x3 + 13x2 + 3x + 20

D6x3 - 13x2 - 13x - 20

Answers

D and I hope this helps

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

Learn more about polynomial functions here:

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Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet

Answers

where’s the two right rectangular prisms?

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

SOMEONE PLEASE HELP !!

Answers

Answer:

you would have to add them together

Step-by-step explanation:

you add 9pi cm^2 to 1/4

hop this helps kid

Answer:

The radius is 199.85 cm^3

The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.

from What height is the beach ball thrown? explain or show your reasoning

Answers

2 ft

Step-by-step explanation:

The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get

y = [-16(0) - 2](0 - 1)

= (-2)(-1)

= 2 ft

Therefore, the ball was thrown from a height of 2 ft.

A regular polygon is a polygon with blank sides and angles

Answers

Regular polygon is a polygon with equal sides and equal angles!!!

HELLP PLZ ZZZZZZ FOR MY HOMEWORK......

Answers

Answer:

4 books

Step-by-step explanation:

$3.80 divided by 95cents = 4

Answer: 4


Step by step explanation: 3.80 divided by 0.95=4

Brainliest? Lol

I really DONT know what’s function

Answers

Answer:

its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.

-by-step explanation:

Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)

Answers

Y=5x^2-45x+100



Hope this help y’all and y’all welcome

PLEASE HELP DUE TODAYY

Answers

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Below the line is shaded so it would have to be one of the less than or equal to answer choices. There is nothing above 0 and x is infinity. Therefore the answer is Y is less than or equal to zero

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Please help:)
this worth 100 POINTS!!

Answers

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?

Answers

The inequality equation is x ≥ ( by - c - d ) / a

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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9.
Find the slope of the line.



A. -1/4

B. 4

C. 1/4

D. -4

Answers

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

Answer:

A. -1/4

Step-by-step explanation:

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?

Answers

Answer:

$10,400

Step-by-step explanation:

Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?

Answers

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

If there are 4 outcomes, what is the
probability that I get tails then tails?

Answers

Answer:

50%

Step-by-step explanation:

because it is a two side coin

Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?

Answers

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

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1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5

Answers

Answer:

im sorry

Step-by-step explanation:

i need points or else i fail

Someone please help I’ll give brainliest!!!!

Answers

Answer:

move the line up one

Step-by-step explanation:

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