Last problem help please?

The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard

arsen [322]

Answer:

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

Step-by-step explanation:

⇒ $1^s^t$ 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:

$\frac{X-\mu}{\sigma} = Z$

In this case we have: $\mu=5\ ft$ $\sigma=0.4\ ft$

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

For X =5.4\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.4-5}{0.4}=1$

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

⇒ $2^n^d$ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1$

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

⇒ $3^r^d$ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2$

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

⇒ $4^t^h$ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3$

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

6 0

3 years ago

(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.

matrenka [14]

Answer:

$A=266\frac{2}{3}\ ft^2$

Step-by-step explanation:

we know that

The scale is $\frac{1}{40}$

That means

1 unit in the drawing represent 40 units in the actual

or

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

$Length:\ 6(40)=240\ in$

$Width:\ 4(40)=160\ in$

step 2

Convert inches to feet

Remember that

$1\ ft=12\ in$

To convert inches to feet , divide by 12

so

$Length:\ 240\ in=240/12=20\ ft$

$Width:\ 160\ in=160/12=\frac{40}{3}\ ft$

step 3

Find the area in square feet

Multiply the length by the width

$A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2$

Convert to mixed number

$A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2$

4 0

3 years ago

Read 2 more answers

I WILL MARK BRAINLIEST!!! !! (picture included with ONE question ^^^^^) only part a

Taya2010 [7]

Answer:

A. y = 1.5m + 7

B. at 7 months the baby will weigh 17.5 pounds

C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.

6 0

3 years ago

Jack spent 1/3 hour cleaning his room which fraction is equivalent

Vinil7 [7]

Answer:

2/6

Step-by-step explanation:

1/3

Write an equivalent fraction by multiplying

1/3 * 2/2

2/6

I hope this was useful!

4 0

3 years ago

To make concrete it takes 8 parts crushed gravel, 7 parts water and 5 parts cement mix. A worker needs to make 220kg of concrete

Alika [10]

A) 8 + 7 + 5 = 20 parts
b) 220 kg ÷ 20 = 11
c) 8 parts crushed gravel: 8 x 11 = 88 kg
7 parts water: 7 x 11 = 77 kg
5 parts cement: 5 x 11 = 55 kg

8 0

3 years ago