The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard deviation o = 0.4 it. Which statement must be true?

A tree with a height of 6.2 ft is 3 standard deviations above the mean

Step-by-step explanation:

⇒ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

In this case we have:  

We have four different values of X and we must calculate the Z-score for each

For X =5.4\ ft

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft  

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi