Solve.

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

3 years ago

1. When a cannonball is fired, the equation of its pathway can be modeled by h = -1612 + 128t.

sashaice [31]

Answer:

The maximum height of the ball is 256m

Step-by-step explanation:

Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t

At maximum height, the velocity of the ball is zero.

velocity = dh/dt

velocity = -32t + 128

Since v = 0 at maximum height

0 = -32t+128

32t = 128

t = 128/32

t = 4seconds

The maximum height can be gotten by substituting t = 4 into the modelled equation.

h = -16t² + 128t

h = -16(4)²+128(4)

h = -16(16)+512

h = -256+512

h = 256m

4 0

3 years ago

Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr

jenyasd209 [6]

Answer: x ≥ 6

Step-by-step explanation:

12 less than 5 times a number ≥ 6 more than twice the number

5x - 12 ≥ 2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

-2x +12 -2x +12

3x ≥ 18

÷3 ÷3

x ≥ 6

Graph: 6 -----------→ the dot is closed (filled in) since it is "equal to"

3 0

3 years ago