Find the mean, median, mode, and range for the following numbers.

Many states assess the skills of their students in various grades. One program that is available for this purpose is the Nationa

Nataly [62]

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 = <u><em>scores of the tests provided by the NAEP</em></u>

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

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = national mean score = 289

$\sigma$ = 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( $\frac{X-\mu}{\sigma}$ > $\frac{x-289}{37}$ ) = 0.25

P(Z > $\frac{x-289}{37}$ ) = 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;

$\frac{x-289}{37}=0.6745$

${x-289}=0.6745\times 37$

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.

7 0

3 years ago

I need a. Correct answer I will mark brainliest

Otrada [13]

Answer:

Option (A)

Step-by-step explanation:

By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = $2\times (5)^x$

Option (A). (1, 10)

f(1) = $2\times (5)^1$

10 = 10

True.

Therefore, point (1, 10) lies on the graph.

Option (B). (0, 10)

f(0) = $2\times 5^0$

10 = 2

Not true.

Therefore, point (0, 10) doesn't lie on the graph.

Option (C). (10, 1)

f(10) = $2\times 5^{10}$

1 = 19531250

Not true.

Therefore, point (10, 1) doesn't lie on the graph.

Option (D). (0, 0)

f(0) = $2\times 5^0$

0 = 2

Not True.

Point (0, 0) doesn't lie on the graph.

Option (A) will be the answer.

4 0

3 years ago

in fred's catering order 5/12 of the lunches are sandwiches 2/12 are salads and 4/12 are pastas. Which equation can be used to f

GarryVolchara [31]

We can express an equation to find the fraction of the catering order that is sandwiches or salads by summing up the fractions of the sandwiches and the salads, in this case, the fraction of the sandwiches is 5/12 and the fraction of the salads is 2/12, then the equation looks like this:

c = 5/12 + 2/12, option B is the correct answer

7 0

1 year ago

PLEASE HELP! Thank you!!

Aliun [14]

1. x is less then or equal to -1 or x is greater then or equal to 5.

2. x is greater then -4 and x is less than or equal to -1

The reason it is equal to or not is because above the original number there is a dot. If it is not filled in, it is considered open. This would leave it as greater than or less than. If it were filled in, it would be considered closed. Leaving it as greater than or equal to or less than or equal to.

3 0

3 years ago

If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE= 11x-31 find the measure of angle AB

Hunter-Best [27]

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

= (6x + 2x) + (26 + 9)

= 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

= (6x + 2x) + (26 - 9)

= 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

4 0

3 years ago