High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?

Answers

Answer 1

Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

More can be learned about the normal distribution at https://brainly.com/question/24663213


Related Questions

The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?

Answers

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Value of it's width is 55 cm .

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

l = length of rectanglew = width of rectangle

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]

Therefore, width of rectangular painting is 55 cm .

#Keep Learning

A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.

Answers

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.

100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain

Answers

Answer: 1 3/4(8)= 14

Step-by-step explanation:

That is the correct answer

answer the following question

Answers

Answer:

Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°

What value of x makes the equation true? 6 6x + 8 = 3x - 19 : A. X=-9 B. -- 3 C. = -3 D. x= 3​

Answers

Answer:

A. x = -9

Step-by-step explanation:

6x + 8 = 3x - 19 <== subtract 3x from both sides

-3x       -3x

3x + 8 = -19 <== subtract 8 from both sides

    - 8     - 8

3x = -27 <== divide both sides by 3

/3     /3

x = -9

Hope this helps!

Answer:

[tex]\tt x=-9[/tex]

Step-by-step explanation:

[tex]\tt 6x + 8 = 3x - 19[/tex]

Subtract 8 from both sides:-

[tex]\tt 6x+8-8=3x-19-8[/tex]

[tex]\tt 6x=3x-27[/tex]

Subtract 3x from both sides:-

[tex]\tt 6x-3x=3x-27-3x[/tex]

[tex]\tt 3x=-27[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{-27}{3}[/tex]

[tex]\tt x=-9[/tex]

The vaule of x that makes the equation true is A) x= -9.

Given the function f(x) = 4 - 2x, find f(3r - 1).

Answers

Answer:

6 - 6r

Step-by-step explanation:

we just plug in 3r - 1 instead of x

f(3r - 1) = 4 - 2(3r - 1)

= 4 - 6r + 2

= 6 - 6r

Three students measured the heights of the daffodils they are growing.
2/3
Sofia's daffodil is 4/6

of a foot high
Mateo's daffodil is

of a foot high.
3/8
Deshawn's daffodil is

of a foot high
Which statement correctly compares two of these fractions?

L

Answers

D is the correct answer. All the other options are not true, except option D.

Select the correct answer.
A regular octagon has side lengths of 8 centimeters. What is the approximate area
he octagon?
OA. 618 cm2
OB. 512 cm2
OC 309 cm2
OD
473 cm2
Reset
Next

Answers

Answer:

C. 309 cm2

Step-by-step explanation:

A=2(1+sqr2)a^2

A=2(1+sqr2)8^2

≈309.01934

Answer: 309 cm2

Step-by-step explanation:

plato

Please, help me!!! 5 mins left to submit!!
Question 1 Part C (3 points): Choose the answer below that best completes the following statement:
Adding, subtracting, or multiplying two polynomials ___ results in another polynomial.

A. Sometimes
B. Always
C. Never

Answers

The answer is B. Adding, Subtracting, or multiplying two polynomials ALWAYS results in another polynomial.

Which of these statements is a valid perfect square trinomial?

Statement 1: x2 + 10x + 100 = (x − 10)2
Statement 2: a2 + 2ab + b2 = (a + b)2

Group of answer choices

Statement 1 and statement 2 are valid.

Statement 1 and statement 2 are invalid.

Only statement 1 is valid.

Only statement 2 is valid.

Answers

Answer:

D. Only statement 2 is valid

Step-by-step explanation:

Verify if the statements are correct

Statement 1:

x² + 10x + 100 = (x − 10)²x² + 10x + 100 = x² + 2(x)(-10) + (-10)²x² + 10x + 100 = x² - 20x + 100LHS ≠ RHS

Statement 2:

a² + 2ab + b² = (a + b)²a² + 2ab + b² = a² + 2ab + b²LHS = RSH

As we see the second statement is valid but not the first one.

Correct choice is D

Answer:

Statement 2 only

Step-by-step explanation:

2nd one is the identity so no need to verify its true

1st one

(x-10)²x²-20x+100

Hence wrong

please help me Find m

Answers

Answer:

60 degree is the value of m

keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?

Answers

Answer:

2

Step-by-step explanation:

so if you take away 14 by 2 =12 and 12 divided by 6= 2

Answer:

each candy bar cost 2 dollars

Step-by-step explanation:

Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

solve for x ~
[tex]4x - 16 = 64[/tex]

ty ^^​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:4x - 16 = 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:4(x - 4) = 64[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 4) = 64 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 4 = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 16 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =20[/tex]

[tex] \boxed{ \bf \huge \: Answer \: }[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x - 16 = 64[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x = 64 + 16[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: 4x = 40[/tex]

[tex] \: [/tex]

[tex] \sf \large \: x = \cancel \frac{80}{4} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large x = 20[/tex]

[tex] \: \: [/tex]

Hope It's Helps uh Miss<3"

Given f() = -4x + 3, find f(-3)

Answers

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

Answer:

f(-3)=-4(-3)+3

=12+3=15

Step-by-step explanation:replace x with -3


If - 4x + 6y = 9 and -2x – 7y = -8 are true equations, what would be the value of -2x + 13y?

Answers

Answer:

  17

Step-by-step explanation:

The expression of interest is the difference of the two given expressions.

  (-4x +6y) -(-2x -7y) = (9) -(-8)

  -2x +13y = 17

The value is 17.

_____

Additional comment

You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.

The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.

Question 1 of 10
How many solutions are there to the equation below?
x² =-64
A. 0
B. 2
C. 16
D. 8
E. -8

Answers

There are 0 solutions.

To solve for x in this equation you must square root both sides, but since it is impossible to square root a negative number, there are 0 solutions.

What is the area of this trapezoid?

Enter your answer in the box.

__ ft²

Answers

Answer:

468 ft²

Step-by-step explanation:

Area = (37+15)/2 × 18

37 + 15 is 52

Divide 52 by 2 which is 26

26 × 18 is 468

Hello There!!

We know,

[tex] \text{Area of trapezoid =} \frac{a + b}{2} h[/tex]

Here, a and b are base and h is height

Inserting The Values

[tex] = \frac{37 + 15}{2} \times 18 \\ \\ = \frac{52}{2} \times 18 \\ \\ = \cancel\frac {52}{2} \times 18 \\ \\ = 26 \times 18 \\ = 468 \: \text{ft²}[/tex]

Hope This Helps

sebuah Mobil memerlukan Benson sebanyak 45 liter until menempuh jarak 480 km, jika Mobil tersebut menempuh jarak 320 km, maka banyak bensin Yang diperlukan adalah...
jelaskan ya..

Answers

Answer:

what??? I can't understand you sorry

Solve 96 =3w+ 15, where w is a real number.
2
Round your answer to the nearest hundredth?

Answers

Answer:

3+15=18 i guess

Step-by-step explanation:

dont judge me im only in 2 grade

1. What is the cross section formed by cutting a cylinder perpendicular to its base?
2. What is the cross section formed by cutting a cone parallel to its base?
3. What is Cavalier's Principle? Can you think of an example applying it to everyday life?



…………….

Answers

Answer:

1

Depends on the cross section axis

place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle

Turn it on its side and the cross section is rectangle

F(x)= x^2+2, g(x)= x+1, and h(x) =2x what is f(g(x)) when x= -1

Answers

f(g(-1)) = (-1 + 1)^2 + 2
= 0^2 + 2
= 2

What is the solution to the help!!!!!
following equation:
2(3x - 7) + 18 = 10
-
0 1
03
3
5
6

Answers

Answer:

x = 1

Step-by-step explanation:

Given:

2(3x - 7) + 18 = 10

Solution:

Subtract 18 from both sides

2(3x - 7) + 18 = 10

              - 18    -18

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

2 (3x-7) = -8

Now divide both sides by 2

2 (3x-7)               -8

-----------     =  ------------

  2                      2

Simplify

3x - 7 = -4

Then add 7 to both sides

3x - 7 = -4

   + 7     +7

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

3x = 3

Divide both sides by 3

3x                     3

-----------     =  ------------

  3                     3

x = 1

Thus, Solution : x =1

~Lenvy~

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Step 1

Simplify both sides of the equation

[tex]2(3x - 7) + 18 = 10[/tex]

Distribute

[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]

Combine like terms

[tex](6x) + ( - 14 + 18) = 10[/tex]

[tex]6x + 4 = 10[/tex]

Step 2

Subtract 4 from both sides

[tex]6x + 4 - 4 = 10 - 4[/tex]

[tex]6x = 6[/tex]

Step 3

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{6}{6} [/tex]

[tex]x = 1[/tex]

please help me answer this question.. no links​

Answers

Answer:

The answer is 28 Units

It's number 3.

Help my sister please she needs help I don’t know because I forgot

Answers

Answer:

15 shrimps

Step-by-step explanation:

We already know that a small shrimp taco has 5 shrimps.

⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]

We also know that a large taco has 3 times more shrimps than a small taco.

⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]

Finding the number of shrimps in a large taco:

Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.

⇒ [tex]\text{Shrimps in a large taco = 3(5) shrimps}[/tex]⇒ [tex]\boxed{\bold{\text{Shrimps in a large taco = 15 shrimps}}}[/tex]

Answer:

15 shrimp

Step-by-step explanation:

5 shrimp * 3 = 15shrimp

Pls help me with My math I need the ans rn, Tysm.​

Answers

Answer:

35 degrees

30 degrees

Solve the following problem.
360 mL =____cups?
type your answer...

Answers

Answer:

1.52 cups

Step-by-step explanation:

360 ml / (236.588 ml/cup ) = 1.52 cups

__________ is a time to challenge yourself and take some risks since your body is stronger than ever before, and you are changing and developing in all sorts of wonderful ways.

Answers

Answer:

Adolescence

Step-by-step explanation:

We are constantly changing and developing in adolescence, it is the bridge between childhood and adulthood, mixed with youth (taking risks more frequently, less worries) and responsibilities and coming-of-age.

the values in a data set r 15,7,11,12,6,3,10, and 6. where would u draw the box in a

Answers

Answer:

8.5

put numbers least to greatest and find the median by crossing numbers out front from back.

write in words
3a- 6
[tex] \frac{1}{2} z \: fy \: 10[/tex]

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1) 3a - 6

6 minus the product of 3 and a

2) 1/2zfy10

1/2 the product of z,f,y, and 10
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