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

Anyone can help me with this? Kinda confusing. Thank you!

Answers

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )

Answers

Answer:

y = -2x + 16

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Where m = slope

b = y-intercept

To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.

m = (y2 - y1)/ (x2 - x1)= (12 - 2)/(2 - 7) = 10/-5 = -2

Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:

y = -2x + b

let's use point (7,2) to find b:

2 = -2(7) + b2 = -14 + bb = 16

Now, we can find the equation of this line:

y = -2x + 16

Answer:

y=-2x+16

Step-by-step explanation:

First we should find the slope.

We can use the formula (y2-y1)/(x2-x1)


(12-2)/(2-7)=10/-5=-2

So, the slope is -2.

From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found

y=-2x+b

12=-2(2)+b

12=-4+b

b=16

So, the slope-intercept equation is y=-2x+16

100%
Đ
X
A doctor treated 24, 27, 31, 19, 26, 15, and 19 patients during the past 7 days.
Which is the median number of
patients treated by the doctor?
A 15
B. 19
C. 23
D. 24
E. 31

Answers

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

How would I be able to solve all of these?

Answers

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Part A

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

Part B

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

I need help with this one
which of the following ordered pairs (x y) satisfies the system of inequalities above

Answers

Just put the options in the inequalities and check if they are true or not :

A ) ( - 1 , 0 )

[tex]2x + y \leqslant 3[/tex]

[tex]2( - 1) + 0 \leqslant 3[/tex]

[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]

And

[tex]x - y < - 3[/tex]

[tex] - 1 - 0 < - 3[/tex]

[tex] - 1 < - 3 \: \: \: false[/tex]

Thus A is wrong

_____________________________________________

B ) ( - 1 , - 1 )

[tex]2( - 1) + ( - 1) \leqslant 3[/tex]

[tex] - 2 - 1 \leqslant 3[/tex]

[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 1 - ( - 1) < - 3[/tex]

[tex] - 1 + 1< - 3[/tex]

[tex]0 < - 3 \: \: \: false[/tex]

Thus B is wrong

_____________________________________________

C ) ( - 2 , 4 )

[tex]2( - 2) + 4 \leqslant 3[/tex]

[tex] - 4 + 4 \leqslant 3[/tex]

[tex]0 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 2 - 4 < - 3[/tex]

[tex] - 6 < - 3 \: \: \: true[/tex]

Thus C is the correct option

_____________________________________________

U can do D urself ...

Have a great day ♡

There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 39.76 grams of this cereal

Answers

Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Find the surface area of the prism.

Answers

Answer:

158 in²

Step-by-step explanation:

Surface area of a rectangular prism:

2(lw + lh + wh), where w is the width, l is the length and h is the height.

= 2((8 x 5) + (8 x 3) + (5 x 3))

= 2(40 + 24 + 15)

= 2(79)

= 158 in²

- If the difference of 15 and a number is 5, what is the number?​

Answers

Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

CAN SOMEBODY SOLVE EQUATION IM LOST

Answers

Answer:

2

- x  -1

3  

Step-by-step explanation:

Why can't the square root cancel out the exponents in the distance formula?

Answers

Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.

For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.

So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.

T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?

Answers

Answer:

Jason can afford 5 more additional lines, making 9 lines total because

175-120=55

55/10=5.5 so He can not afford more than 5 more additional lines.

Step-by-step explanation:

CO
8
6
4
N
Which function is graphed?
46
8
N
-8 -6 -4 -20
-2
-4
-6
-8
O A. y- *#4x23
[+ ,
1-x+4,52

Answers

The third one Hope this helps ur welcome

Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS

Answers

Answer:

E. SSS

Step-by-step explanation:

AB=BC (Given)

AD=CD (Midpoint)

BD=BD (common)

Therefore answer is : SSS

Two rooms in a tiny house share a wall.

Answers

Answer:

54 + 42 = 6 (9 + 7)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.

The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.

Since we already know the 6 is on the outside, your new equation is:

6 x (what number) = 54

54 divided by 6 = 9

In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean

Answers

C an independent variable

Plot 1 goes from 0 to 8. There are 2 images above 5, 2 above 6, 4 above 7, and 5 above 8. Plot 2 goes from 0 to 8. there are 5 images above 1, 2 images above 2, 4 images above 3, 3 images above 4, 1 image above 5, 1 image above 6, and 1 image above 8.
Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers.

Highest mean:
✔ Plot 1
Highest median:
✔ Plot 1
Highest range:
✔ Plot 2
Highest interquartile ranges:
✔ Plot 2

Answers

Answer: the answer is 45

Step-by-step Step-by-step explanation:

so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45

Answer:

A, A, B, B

Step-by-step explanation:

(02.01 LC) Which of the following tables represents a function?

Answers

Answer:

the answer is the third one

Step-by-step explanation:

because in a function the x value has to be unique.

Answer:

c (third one)

Step-by-step explanation:

Please help me with these 2 questions, I don’t really need explanations I just need straight forward answers ! The questions are linked below. 50 points

Answers

Answer:

1. The value of 5 is fifty thousand

2. The value of 6 is six thousand

Step-by-step explanation:

1. 8.156 million - 8,156,000

2. 6,521

^ 6000

Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water. Martinez family decides to fill their pool using their garden hose to save money even though they know it will take a really long time the swimming pool is 10 m long and 5 m wide and Martinez family wants to the water to be 2 m deep water from the garden holes flows at a rate of 2500 l or 2.5 m³ per hour how long will it take to fill the pool

Answers

Answer:

the answer ia true

Step-by-step explanation:

hope this helps

A demolition crew can do a job in 10 days. Another demolition crew can do the same job in 15 days. How many days would it take the two crews to do the job if they work together?

Answers

Answer:

6 days

Step-by-step explanation:

In one day, one demolition crew:

One day = [tex]\frac{1}{10} x[/tex]  with x = the entire job

Other demolition crew:

One day = [tex]\frac{1}{15} x[/tex]

Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day

So [tex]\frac{1}{6}x[/tex] x 6 = x

so it takes 6 days to complete the work together.

Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area

Answers

Answer:

4889.26m²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]

I don't know how to do this (don't mind the 21)​

Answers

Answer:

The definition of alternate interior angles is that those two angles are the same.

Therefore because they are the same you can set them equal to eachother

3x + 24 = 78 is true

3x = 54

x = 18

Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same

In Houston, 9 bats ate 50 grams of insects in one night. At this rate, how many grams of insects could 81 bats eat in one night?

Answers

Answer:

Step-by-step explanation:

Remark

Using Algebra, this is a proportion question. A proportion is 2 equal ratios

If the of the 2 ratio parts are known, it is possible to solve for the 4th one.

Formula

9_bats/50_grams::81_bats/x grams insects

Solution

Put the three knowns in and solve for the 4th which is not known

9 bats/ 50 insects = 81 bats /x insects.         Cross multiply

9 * x = 50 * 81                                                  Combine

9x = 4050                                                       Divide by 9

9x/9 = 4050/9

Answer: x = 450 grams

A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

C = 2πr25 = 2 x 3.14 x rr = 25 / 6.28r = 3.98 cm ≅ 4 cm

Surface Area

4πr²4 x 3.14 x 4 x 43.14 x 64200.96201 cm²

Volume

4/3πr³ = 4πr² x r/3201 x 4/367 x 4268 cm³

Which set of angle measures could be the interior angles of a triangle?

Answers

Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Find x in each triangle

Answers

Answer:

Applying Pythagoras we get x= 9

Answer:

using the relation,

h²=p²+b²:

15²=x²+12²

x=(225-144)^0.5

x=9

therefore x equal 9 meter.

If f(x) -
X-3
and g(x) = 5x - 4, what is the domain of (f•g)(x)?

Answers

Hope it helps best of luckkkkk

A spinner is divided into 12 identical sectors and labeled 1 through 12.

How many spins are expected for a multiple of 5 to be spun 8 times?

Select from the drop-down menu to correctly complete the sentence.

The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.

Answers

Answer: The awnser is 48

Step-by-step explanation: I took the quiz

6.03 Quiz: Use Theoretical Probability to Predict

It is expected to take 48 spins for a multiple of 5 to be spun 8 times.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.

The probability of not landing on a multiple of 5 is 5/6.

We can use the geometric distribution formula to find the expected number of spins:

E(X) = 1/p, where p is the probability of success.

As per the question, the probability of success is 1/6.

Therefore, E(X) = 1/(1/6) = 6.

We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:

6 x 8 = 48.

Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ3

Select True or False for each statement.
Statement True False
In the ordered pair (3, 5), the number 5 is the y-coordinate.
True – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
False – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
The origin has coordinates (0, 0).
True – The origin has coordinates ( 0, 0 ) .
False – The origin has coordinates ( 0, 0 ) .
The horizontal axis in a coordinate plane is the y-axis.

Answers

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)

(0, 0) is the origin on a coordinate plane (TRUE)

y-axis is the horizontal axis on a coordinate plane (FALSE).

What is an Ordered Pair?

An ordered pair is a set of numbers that represents the location of a point on a coordinate plane that has an x-axis (horizontal axis) and y-axis (vertical axis).

An ordered pair is given as (x, y). Therefore, the following statements given are matched as shown below:

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)(0, 0) is the origin on a coordinate plane (TRUE)y-axis is the horizontal axis on a coordinate plane (FALSE).

Learn more about ordered pair on:

https://brainly.com/question/1528681

Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.

Answers

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

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