Please Help me! ASAP

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa

Mekhanik [1.2K]

Answer:

A student have to score 1.28 standard deviations above the mean o be publicly recognized.

Step-by-step explanation:

If $X \sim N (\mu, \sigma^{2})$ , then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The distribution of these z-variates is known as the standard normal distribution.

In statistics, a standardized score is the number of standard deviations an observation or data point is above the mean.

Thus, z-scores are a type of standardized scores.

It is provided that the students who score in the top 13 percent in the National Financial Capability Challenge Exam are recognized publicly for their achievement by the Department of the Treasury.

Let x be score of the top 13%.

So, to be are recognized publicly for their achievement by the Department of the Treasury the probability of score x must be:

P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The value of z for the above probability is:

z = 1.28

*Use a z-table.

Thus, a student have to score 1.28 standard deviations above the mean o be publicly recognized.

8 0

3 years ago

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(x + 6): x= 5:2 Work out the value of x.

Dvinal [7]

Answer:

x is 4

Step-by-step explanation:

${ \bf{(x + 6) : x = 5 :2 }} \\ { \tt{ \frac{(x + 6)}{x} = \frac{5}{2} }} \\ \\ { \tt{5x = 2(x + 6)}} \\ { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}$

5 0

3 years ago

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PLEASE HELP, I DONT UNDERSTAND THIS.....Michael is laying carpet in a perfectly rectangular hall. The area of the hall is 240 sq

Setler79 [48]

Answer:

40 feet

Step-by-step explanation:

We know that the area of a rectangle is represented as $lw=a$ , where l is the length and w is the width.

We already know the width, and we know the area, so we can plug these values into the equation.

$l\cdot 6 = 240$

Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.

$(l\cdot6) \div6 = 240\div6\\\\l = 40$

Hope this helped!

8 0

3 years ago

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The ordered pairs (3,2) and (-2,13) are points on a linear function. Which equation best describes this function?

Mars2501 [29]

Answer:

The equation which describe this function is 5x + 11y = 37

Step-by-step explanation:

To find the slope

slope = (y₂ - y₁)/(x₂ - x₁)

slope = (13 - 2)/(-2 - 3) = 11/-5

To find the equation

(x - 3)/(y - 2) = -11/5

5(x - 3) = -11(y - 2)

5x -15 = -11y + 22

5x + 11y = 22 + 15

5x + 11y = 37

Therefore the equation which describe this function is

5x + 11y = 37

7 0

4 years ago

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Alliic

pochemuha

First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that y + 5 = -3(x - 1) had, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3
since we dont know what y is, our final solution is
x = - $\frac{2+y}{3}$ , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators
x = 5 + y/4
since we dont know what y is, our answer is x = $\frac{5+y}{4}$ , y ∈ R
since this is also not equivalent to y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions
:)

5 0

3 years ago