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 25 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 0.675 standard deviations above the mean to be publicly recognized.

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

\(Z = \frac{X - \mu}{\sigma}\)

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 25% is at least the 100 - 25 = 75th percentile, which is X when z has a p-value of 0.75.

Looking at the z-table, z = 0.675 has a p-value of 0.75.

Hence, a student has to score 0.675 standard deviations above the mean to be publicly recognized.

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Related Questions

Helpppo meeeeeeeeeee​

Helpppo meeeeeeeeeee

Answers

Answer:

1 grains equal to uwu kilograms

Step-by-step explanation:

homie literally just search it it's not that hard, 700 grams

Round your response to at least three decimal placesAnswer ABC

Round your response to at least three decimal placesAnswer ABC

Answers

SOLUTION

Using probability calculator the probabilities are:

\(\begin{gathered} P(Z>1.53)=0.063008 \\ P(Z\le1.85)=0.96784 \end{gathered}\)

Other solutions are:

\(P(-0.35

How can I solve this problem? 4/6 minus 2/9?

Answers

Here are the steps, also use photo math for fractions it explains and shows step by step. Also its free
How can I solve this problem? 4/6 minus 2/9?

Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?

Answers

The angle formed by the two hands have a measure less than 1/4 turn

How to relate the measure of the angle to 1/4 turn?

From the question, we have the following parameters that can be used in our computation:

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.

Answers

9514 1404 393

Answer:

  13 cm, 39 cm, 39 cm

Step-by-step explanation:

If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:

  x +3x +3x = 91

  x = 91/7 = 13

  3x = 3(13) = 39

The length of the short side is 13 cm; the other two sides are 39 cm.

3x+1/3x+2=x+2/x-5
please help if you can thank you.

3x+1/3x+2=x+2/x-5please help if you can thank you.

Answers

Answer:

-9/22

Step-by-step explanation:

Help math math math math

Help math math math math

Answers

Answer:

12cm

Step-by-step explanation:

V = pi(r2)h we simply plug in the numbers. The radius is half the diameter so r = 4cm. the height h is given as 12 cm.

Answer: 12 cm

Step-by-step explanation:

Can someone help me with this

Can someone help me with this

Answers

Answer:

10

Step-by-step explanation:

Since 75 sandwiches have salad this means that 75 - 30 = 45 of them have tuna with salad. Therefore, the amount of sandwiches that have cheese without salad is 100 - (30 + 15 + 45) = 100 - 90 = 10.

Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.

What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.

Answers

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

For similar question on exponent.

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PleSe help me solve this problem

PleSe help me solve this problem

Answers

Answer:

56

Step-by-step explanation:

\(\binom{8}{3}=\frac{8!}{5!3!}=56\)

A store accidentally priced an item at $20 instead of $30 and honored the mispricing.
Where should the store attribute the $10 difference?
Is it considered a loss or operating expense?
Thanks

Answers

Answer:

Sales

Step-by-step explanation:

Since it is mentioned that the store mistakenly priced an item at $20 instead of $30 so there is a difference of $10 so the price of sales is increased by $10 due to mispricing the value of the item so that it would be recorded at $30 rather than $20

Therefore in the given case neither it is considered as a loss nor an operating expense but as a sales and the same is to be relevant

Hence, the given options are incorrect

Violet invests money in an account paying a simple interest of 6.3% per year. If she
invests $80 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?

Answers

Answer:

Your answer

85 dollar 4 cent

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

6. The budget for a new house can only afford 1/4 of the floor area to be done inceramic tile. The rest of the floor area will be carpeted. The size of the kitchen areahas not yet been determined. Not including the kitchen, the architect has alreadydesigned 2200 square feet of floor area, 15% of which has tile floors specified.What area, in square feet, can be planned for the kitchen if its entire floor area is tohave ceramic tile? Assume all values are ex

Answers

The budget of a new house can only afford 1/4 of the floor area

the total area of the floor is designed to be 2200 square feet

15% of the floor is tiled

let the budget be x

area to be done in ceramic tile is 1/4 x the total budget

1/4 * 2200 = 550

550 square feet area of the floor will be use for ceramic tiles alone

Based on a sample survey, a company claims that 86% of their customers are satisfied with their products. Out of 1,100 customers, how many would you predict to be satisfied?

Answers

Answer:

946 people

Step-by-step explanation:

Find how many you would predict to be satisfied by multiplying 1,100 by 0.86:

1,100(0.86)

= 946

So, you could expect 946 people to be satisfied

After how many days would you pay the same fee to Duke's
Kennels and Lakeside Kennels? Justify your answer. Assume
you are paying all of the fees described above.
PLZ HELP

Answers

Answer: 5

Step-by-step explanation: I know

3) The length of JM is 9x + 6 units, the length of JK is
5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8

3) The length of JM is 9x + 6 units, the length of JK is5x and the length of KM is 3x +12 units. Find

Answers

Answer:

\( JM = 60 units \)

Step-by-step explanation:

Given:

\( JM = 9x + 6 \)

\( JK = 5x \)

\( KM = 3x + 12 \)

\( JK + KM = JM \) (segment addition postulate)

\( (5x) + (3x + 12) = (9x + 6) \) (substitution)

Solve for x

\( 5x + 3x + 12 = 9x + 6 \)

Collect like terms

\( 5x + 3x - 9x = -12 + 6 \)

\( -x = -6 \)

Divide both sides by -1

\( x = 6 \)

\( JM = 9x + 6 \)

Plug in the value of x

\( JM = 9(6) + 6 \)

\( JM = 54 + 6 \)

\( JM = 60 units \)

which value of x makes this inequality true? x+9<4x

Answers

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

x > 3

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Hence, x > 3

2x + 4y=8
graphing in standard form

Answers

Answer:


slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman

Answers

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem

Answers

Answer:

(a) \(\text{Difference}=\text{First}-\text{Sequel}\)

(b) The amount by which the first movie made more than the sequel is $0.8 million.

Step-by-step explanation:

It is provided that:

The Avengers movie made $1.6 million in ticket sales. The sequel made $0.8 million in ticket sales.

(a)

The equation representing the amount by which the first movie made more than the sequel is:

\(\text{Difference}=\text{First}-\text{Sequel}\)

(b)

Compute the difference value as follows:

\(\text{Difference}=\text{First}-\text{Sequel}\\=\$1.6-\$0.8\\=\$0.8\)

Thus, the the amount by which the first movie made more than the sequel is $0.8 million.

In the last 24 days, it rained 18 days. What is the ratio of rainy days to total days written as a percent?

Answers

The ratio of rainy days to total days written as a percent will be 75%.

How to illustrate the ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.

Answers

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15

Answers

Answer:

Step-by-step explanation:

1/2x - 2/3 × 15 = 30

1/2x - 10 = 30

1/2x = 30 + 10

1/2x = 40

x = 40 × 2

x = 80

hope this helps

plz mark it bas brainliest!!!!!!!!!

The answer is x =80. I have showed the wirking below. Hope this helped.
what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15

Six is less than the product of a number n and 1/3 is no more than 95

Answers

\(n( \frac{1}{3} ) - 6 \leqslant 95\)

Hope this helps:)

Note this is a statistics question from algebra 2Let’s say that a piece of dice is rolled seven times use the binomial distribution form to determine the possibility of rolling exactly 5 3’s

Answers

For this problem, we use the following formula for binomial distribution:

\(P(x=k)=\begin{bmatrix}{n} & {} & {} \\ {k} & {} & {} \\ {} & {} & \end{bmatrix}p^k(1-p)^{n-k}\)

Where n is the number of times the piece of dice is rolled and p is the probability of getting a specific number k times, substituting n=7, p=1/7, and k=3 we get:

\(\begin{gathered} P(x=3)=\begin{bmatrix}{7} & {} & {} \\ {3} & {} & {} \\ {} & {} & {}\end{bmatrix}(\frac{1}{7})^3(1-\frac{1}{7})^{7-3}=\frac{7!}{(7-3)!3!}(\frac{1}{343})(\frac{1296}{2401}) \\ P(x=3)=0.055 \end{gathered}\)

Answer: The probability is 5.5%

The first number in a pattern is 138, and the rule is to add 15. What is the next number in the pattern?

Answers

153 is the answer I know because it’s basic math

Can someone please help and thank you:)

Can someone please help and thank you:)

Answers

Answer:

8.25

Step-by-step explanation:

A=a+b

2h=6+5

2·1.5=8.25ft²

Answer:

8.25 ft²

Step-by-step explanation:

According to the formula in the image, we would get 8.25

A = 5 + 6

2 × 1.5 = 6 + 5

8.25ft²

Can someone please help and thank you:)

cual es la formula del rombide.help me​

Answers

Answer:

Step-by-step explanation:

The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).

B is the base of the rhomboid and a is the length of the side of the rhomboid.

Hope this helped! If so, plz mark brainliest.

I need this answer fast please and thank you

I need this answer fast please and thank you

Answers

Answer:

1-nonlinear it is not consistant

2- a increasing, b constant, c decreasing

3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)

4- 8cm per second

work 16cm/2sec=8cm/1sec

Step-by-step explanation:

YT radio play songs at random every day from the hundreds of songs it contains in memory data. Any song can be played at any time, even if it is repeated. There are 500 pop songs, 330 Country songs, 265 rock songs, and 405 R&B songs. If the station just played two pop songs in a row, what is the probability that the next song will also be a pop song?

Answers

Answer:

498/1500

Step-by-step explanation:

tell me if im right please

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