Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). One of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In a recent year, the national mean score was 289 and the standard deviation was 37. Assume that these scores are approximately Normally distributed, N(289, 37). How high a score is needed to be in the top 25% of students who take this exam (use technology)?

Answers

Answer 1

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = scores of the tests provided by the NAEP

The z-score probability distribution for the normal distribution is given by;

                           Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = national mean score = 289

           [tex]\sigma[/tex] = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

            P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-289}{37}[/tex] ) = 0.25

            P(Z > [tex]\frac{x-289}{37}[/tex] ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        [tex]\frac{x-289}{37}=0.6745[/tex]

                        [tex]{x-289}=0.6745\times 37[/tex]

                        x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.


Related Questions

look at image. reflection across y= -2​

Answers

Answer:

S is -2,-3   r -3,-4   R  0,-5

Step-by-step explanation:

is the reflection points :)

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile. A. How far can the car travel with 15 gallons? With 15 gallons of gas, the car can travel 525 miles. B. How much gas does the car use to go 100 miles? The car will need gallons to travel 100 miles.

Answers

Answer:

 525 miles

Step-by-step explanation:

Two unit rates are given in this problem:

miles per gallon

gallons per mile

Since we want to find miles, the appropriate rate to use is miles per gallon:

[tex]distance = \frac{miles}{gallon} (gallons)\\distance = \frac{35 miles}{gallon} (15 gallons) = 525[/tex]

what is the equivalence of -5/8

Answers

Answer:

One answer could be -10/16

Step-by-step explanation:

A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.​

Answers

Hello, I do not see a question nor a histogram for the statement/info provided. I am assuming that the question that you are referring to is "Which of these most likely describes the data shown in the histogram?"

Answer:

The correct answer would be: A, The cards are grouped into five intervals according to price. The prices of the cards  vary within each interval, and the highest frequency is 21.

Explanation:

From the histogram (below), you can observe that the highest frequency for the diagram is in fact 21, so you can eliminate answer options B and D.

You are left with either A or C, but you can tell that C is wrong as it states "The prices of the cards are  limited to a few whole number values", but in truth the histogram displays values that are decimals, the prices of the cards  vary within each interval.

Hope this helps!

Which equation represents this sentence? One-half the sum of a number and four is three less than the quotient of five and the number. 12n+4=5n−3 12(n+4)=5n−3 12n+4=3−5n 12(n+4)=3−5n

Answers

Answer:

Step-by-step explanation:

"one half the sum of a number and 4" is (1/2)(n + 4)

"three less than the quotient of 5 and the number" is 5/n - 3

putting this all together, we get

(1/2)(n + 4) = (5/n) - 3

Answer:

b.) 1/2(n 4)=5/n−3

Step-by-step explanation:

A coffee dispensary uses ⅘ of a barrel of coffee beans per batch of coffee they ship. Yesterday, the dispensary used 3 ⅕ of a barrel of coffee beans. How many batches of coffee did they produce?

Answers

Answer:

4 batches

Step-by-step explanation:

First, you need to convert the mix number into a single fraction:

3 1/5 = 16/5 total barrels of coffee beans used

This allows us to divide the numbers easier in the next step.

Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:

(16/5) / (4/5) = 16/4 = 4 batches

(The fives cancel out because they are the same divisor.)

I hope this helps!

-TheBusinessMan

Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 and the total cost of the order was $57. What was the price of each cupcake? ​

Answers

Let's use an equation to solve this problem.

[tex]y=24x+16[/tex]

Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.

[tex]57=24x+16[/tex]

[tex]41=24x[/tex]

[tex]x=\frac{41}{24}[/tex]

Which simplifies around to $1.71 dollars.

Hope this helps.

頑張って!

(x^4)^6= Simplify usiong the lawas of exponents pexplain if can

Answers

Answer:

x^10

Step-by-step explanation:

exponent multiplication is like addition for exponents

Answer:

x^24

Step-by-step explanation:

1.) x/-2=-3
What is the answer of this question

Answers

Answer:

x = 6

///////////////////////

- 3/2 + ( - 4/2 ) pls help !!

Answers

Exact form: -7/2
Decimal form: -3.5
Mixed number form: -3 1/2

Un emprendedor sabe que para vender x de sus productos diariamente el precio de cada uno debe ser 96.800-10x pesos. ¿Cuál es el precio, en pesos, al que debe cobrar sus productos para vender 200 unidades diarias? *

Answers

Responder:

94,800 pesos

Explicación paso a paso:

Dado que:

Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos

Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:

Sustituye 200 en lugar de x en la ecuación de precio anterior,

Es decir ;

x = 200

Precio = 96,800 - 10 (200) pesos

Precio = 96,800 - 2000

Precio = 94,800 pesos

De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.

Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night on weekends. How much sleep should she get to better concentrate on schoolwork? five to six hours every night nine to ten hours every night a total of forty hours a week a minimum of eighty hours a week Save and Exit Next Mark this and return​

Answers

Answer:

The correct option is;

A total of forty hours a week

Step-by-step explanation:

The given information in the question are;

The number of hours of sleep Nina gets during weeknights = five hours

The number of hours of sleep Nina gets per night on weekends = ten hours

The number of days in a week = 5 days

The number of days in a weekend = 2 days

Therefore;

The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day

∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours

The number of hours of sleep Nina gets per week = 45 hours

To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).

Answer:

nine to ten hours every night hope o helped bbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyeeeeeeeee

Step-by-step explanation:

Please simplify! x+9=21+3x-4+10

Answers

Answer:

-9

Step-by-step explanation:

Step 1 : Put like terms together

x + 9 = 21 + 3x - 4 + 10

Subtract 3x on both sides

-2x + 9 = 21 - 4 + 10

Subtract 9 on both sides

-2x = 21 - 4 + 10 - 9

Simplify

-2x = 18

Step 2 : Divide

[tex]\frac{-2x}{-2}[/tex] = [tex]\frac{18}{-2}[/tex]

x = -9

Answer:

x= -9

Step-by-step explanation:

- Put all the same signs together

x-3x = 21-4+10-9

*Quick tip:

  -when you cross a sign with a number or without a number over the equal  

   sign you have to change the sign (positive to negative and negative to    

   positive.

  -x and 1x is the same thing

- Calculate small sections by small sections

-2x = 17 + 1

-2x= 18

-2/-2x = 18/-2

x= -9

Find the exact distance between the points (8,-1) and (2,2).
• 45
• 101
• 745
• V 101

Answers

d=sqrt [(8-2)^2 + (-1-2)^2]
Sqrt (45)

Pls see if thus can help.
B- V 101
explanation:





What is the solution set of the quadratic equation 1/2 (4x-1) ^2 = 4 ​

Answers

Answer:

x = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] (4x - 1)² = 4 ( multiply both sides by 2 to clear the fraction )

(4x - 1)² = 8 ( take the square root of both sides )

4x - 1 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 1 to both sides )

4x = 1 ± 2[tex]\sqrt{2}[/tex] ( divide both sides by 4 )

x = [tex]\frac{1+/-2\sqrt{2} }{4}[/tex]

   = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]

Write .24... as a fraction in simplest form.

Answers

Answer:

6/25

Step-by-step explanation:

6/25

0.24... as a fraction in simplest form is 6/25.

How to write .24... as a fraction in simplest form?

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

We have:

0.24 = 24/100

In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:

0.24 = 24/100 = 6/25  (divide both numerator and denominator by 4)

Learn more about fraction on:

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√50 inrrational or rational

Answers

Answer:

it is irrational

Step-by-step explanation:

hav a nice dAY

hello can you help me, thank you!!

Answers

Answer:60.58

Step-by-step explanation:add the first numbers 64.67 take that from 125.25 and u got 60.58

Answer:

60.58

Step-by-step explanation:

Subtract the first 2 numbers which equals 64.67 then subtract 64.67 and 125.25 and you get... 60.58

please brainliest??

The function f(x) is given by the set of ordered pairs. Which is true regarding the function? {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}
f(-3) = 8
f(3) = 5
f(8) = 0
f(-6) = 10​

Answers

Answer:

f(–6) = 10

Step-by-step explanation:

EDGE

f(-6)=10 is the true option regarding the function.

What is a function?

The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.

General form of a function is f(x)=y

The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.

How to solve the problem?

The given function is given by the set of ordered pairs

(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}

Clearly f(-6)=10 is the only correct option.

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Write a mathematical expression to model the following situations.

15. The total cost of a meal, when the price of a pizza is $5 and the price of breadsticks is $3.

16. The total number of wheels in a parking lot, when a car has 4 wheels and a motorcycle has 2 wheels.

17. The total number of legs of insects in a field, when a spider has 8 legs and a cricket has 6 legs.

Answers

Answer:

The expressions are as follows:

$5+$3=$84+2=68+6=14

Remember whenever it's written total it means you have to do addition. Hope it helps you.

Al simplificar esta expresion logaritmica, cual es la forma mas simple? ​

Answers

Answer:

La respuesta es

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] log_{5}( \sqrt{5} ) [/tex]

Escribe la expresión en forma exponencial con base 5

Eso es

[tex] log_{5}(5)^{ \frac{1}{2} } [/tex]

Usando las reglas de los logaritmos que

[tex] log_{ a}( {a})^{x} = x[/tex]

Simplifica la expresión

Tenemos la respuesta final como

[tex] \frac{1}{2} [/tex]

Espero que esto te ayude

102) Find the price of one marker if four
markers cost $11.36.
help asap please!!!

Answers

Answer $2.84

Step-by-step explanation:

11.36 divided by 4

Answer:

$2.84 a marker divide $11.36 by the number of markers to get the answer $2.84

Solve the equation for x.
(x - 4) - (x + 7) = 8x
11

Answers

Answer:

-11 is the answer. I think

add 6 to the quotient of j and k

Answers

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savings before he bought the jacket

Answers

he had $105 in his savings

Answer:

The answer is $105

Step-by-step explanation:

Solution: 4x = 12

A ratio that is equivalent to 5:2 is?

Answers

10:4 because you multiply both numbers by 2

Write 19/9 as a mixed number

Answers

Answer:

2 1/9

Step-by-step explanation:

Divide 19 by 9 and get a number with a remainder

Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number

Determine the interval on which the function is constant

Answers

(-2,2)

Just took the quiz, this is 100% correct.

Please mark brainliest! :)

A constant function is a function having the same value of range for different values of the domain.

The interval on which the given function is constant is x ∈ [ -2, 2 ].

What is a constant function?

A constant function is a function having the same value of range for different values of the domain.

We have,

The graph shows that the function is constant at an interval.

The graph of a constant function is always a straight line.

We see that we have a short straight line on the graph.

The straight line starts from the x = -2 till x = 2 on the x-axis.

The straight line has the constant y = -2 on the y-axis.

The x values are called the domain.

The y value is called the range.

The interval on which the graph is constant is x ∈ [ -2, 2 ].

Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].

Learn more about functions here:

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What does a function return?
O a procedure
O a routine
O a value
O a subroutine

Answers

Answer:

A value

Step-by-step explanation:

Whenever you input a number x into function f(x), you should get an output of y. That means that the function should return a number value.

Answer:

c

Step-by-step explanation:

on edge

You
5
Is a rational number?
00
yes
no
Submit

Answers

The answer is yesI hope that helps you
Yes it is a rational number
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