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3 years ago

9. Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

Graph the line using the slope and y-intercept, or two points.

(Slope: 4)

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

3 years ago

If f(x) = 3x + 2, what is f(5)?

Volgvan

Answer:

The 5 in the () is what the x is

Step-by-step explanation:

3(5)+2=17

6 0

3 years ago

Read 2 more answers

I need help with this

Harlamova29_29 [7]

Answer:

50 degrees.

Step-by-step explanation:

The three angles make up a straight line angle which = 180 degrees, so:

C = 180 - 65 - 65

= 50 degrees.

7 0

2 years ago

Read 2 more answers

Samuel has 3/4 ton of mulch to spread equally in 8 square yards. How many tons of mulch will be spread in each square yard

Vikki [24]

Answer:

0.09375 tons

Step-by-step explanation:

In this problem, it is given that Samuel has 3/4 tons of mulch i.e. 0.75 tons of mulch.

Again it is given that Samuel has to spread equally this amount of mulch in 8 square yards of the plot.

Since the mulch is spread uniformly, then we can say that in each square yard of the plot (0.75/8) = 0.09375 tons of mulch is been spread.

Therefore, 0.09375 tons of mulch will be spread in each square yard. (Answer)

6 0

3 years ago

Draw a number line to represent the inequality.<br> 8>x

Lilit [14]

Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7

6 0

3 years ago