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3 years ago

What is the value of x?

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

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The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8

Alenkinab [10]

Answer:

a) 0.64

b) -1.13

Step-by-step explanation:

We are given the following information in the question:

Women:

Mean, μ = 64.2 inches

Standard Deviation, σ = 2.8 inches

We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.

Men:

Mean, μ = 69.4 inches

Standard Deviation, σ = 3.0 inches

We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

5.5 feet = 66 inches

a) z‑score for a woman 5.5 feet tall

$x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 64.2}{2.8} = 0.64$

b) z‑score for a man 5.5 feet tall

$x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 69.4}{3.0} = -1.13$

4 0

3 years ago

During the winter, the temperature in St. Cloud, Minnesota can

Fittoniya [83]

If I’m right I think it should be c but I do

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3 years ago

Y = x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4

lesya [120]

Y = x - 6
x = -4

plug in the second equation in to the first

y = -4 - 6
y = -1(4 + 6)
y = -1(10)
y = -10

The solution to the system is not listed in the options. The correct solution is (-4, -10).

8 0

4 years ago

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A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by

Sauron [17]

Answer: y=18+4x

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3 years ago

3/5 divided by 3/15 equals

Vlad1618 [11]

Answer:

3/25

Step-by-step explanation:

3/5 *3/15

9/75

Simplified 3/25

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3 years ago

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