Mathematics, 08.10.2019 05:00 Bryanguzman2004

Acertain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 110. complete parts (a) through (c).

(a) what percentage of standardized test scores is between 190 and 850? (round to one decimal place as needed.)

(b) what percentage of standardized test scores is less than 190 or greater than 850? (round to one decimal place as needed.)

(c) what percentage of standardized test scores is greater than 740? (round to one decimal place as needed.)

Answers: 1

Show answers

Answers

Answer from: yaz1206

The percentage between $\pm$ 3 standard deviation, exactly 99.7%.

The percentage between is 99.7%, the percentage less than -3 standard deviation or greater than +3 standard deviation is 100 - 99.7 = 0.3%.

standard deviation and 2.5% is greater than 2 standard deviation, and the percentage greater than.

Given that,

A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 110.

We have to complete the following statements.

According to the question,

If $\pm$ 1 standard deviation from the mean the percentage in that band correspond to the 68% of the values.

If $\pm$ 2 standard deviation from the mean the percentage in that band correspond to the 95% of the values.

If $\pm$ 3 standard deviation from the mean the percentage in that band correspond to the 99.7% of the values.

The formula to calculate z-score is:

$z = \frac{x-\mu}{\sigma}$

n = evaluate numbers.

$\mu$ = mean and $\sigma$ = deviation.

The percentage of standardized test scores is between 190 and 850 lower z = $\frac{190-520}{110}$ = -3

And upper z = $\frac{850-520}{110}$ = 3

This means percentage between $\pm$ 3 standard deviation, exactly 99.7%

The percentage of standardized test scores is less than 190 or greater than 850.

Since the percentage between is 99.7%, the percentage less than -3 standard deviation or greater than +3 standard deviation is 100 - 99.7 = 0.3%

The percentage of standardized test scores is greater than 740

z of 740 = $\frac{740-520}{110}$ = 2

The percentage between $\pm$ 2 is 95%, the percentage greater than 2 and that is $\frac{100-95}{2}$ = 2.5%.

You have to divide by 2 because 2.5% is less than -2 , standard deviation and 2.5% is greater than 2 standard deviation, and the percentage greater than .

For the more information about Probability click the link given below.

link

Answer from: cedavenport1277

(a) 99.7%

(b) 0.3%

Step-by-step explanation:

This problem doesnt require a z-table as long as you know the basic rule of 68, 95 and 99.7.

If you are +-1 standard deviation from the mean the percentage in that band correspond to the 68% of the values.

If you are +-2 standard deviation from the mean the percentage in that band correspond to the 95% of the values.

If you are +-3 standard deviation from the mean the percentage in that band correspond to the 99.7% of the values.

The formula to calculate z-score is:

$z=\frac{x-\mu}{\sigma}$

$x\ is \ the\ number\ evaluated\\\mu\ is\ the\ mean\\\sigma\ is \ the \standard\ deviation$

(a)

lower z = (190 - 520)/110 = -3

upper z = (850 - 520)/110 = 3

This mean that you are looking for a percentage between +-3 standard deviation, exactly 99.7%

(b)

Since the percentage between is 99.7%, the percentage less than -3 standard deviation or greater than +3 standard deviation is 100 - 99.7 = 0.3%

(c)

z of 740 = (740 - 520)/110 = 2

The percentage between +-2 is 95%, you are interested in the percentage greater than 2 and that is (100 - 95)/2 = 2.5%. You have to divide by 2 because 2.5% is less than -2 standard deviation and 2.5% is greater than 2 standard deviation, and you are only interested in the percetange greater than that

Answer from: Quest

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

Answer from: Quest

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

Another question on Mathematics

Mathematics, 21.06.2019 18:10

Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match each set of vertices with the type of quadrilateral they form

Answers: 3

Answer

Mathematics, 21.06.2019 23:00

700 miles the train takes 5 hours to a travel the distance at what unit rate is the train traveling?

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

The function y= x - 4x+ 5 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence post to another. all distances are in feet. complete the square to find and interpret the extreme value (vertex). select two answers: one extreme value and one interpretation.

Answers: 2

Answer

Mathematics, 22.06.2019 01:00

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement

Answers: 3

Answer

You know the right answer?

Acertain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a st...

Questions