To solve for x, we will begin by using the distributive property
6x - 2(x + 4) = 12
6x - 2x - 8 = 12
(always remember to sort your negatives!)
Add like terms
4x - 8 = 12
Add 8 to both sides
4x = 20
Divide both sides by 4
x = 5
Answer: The probability that all 8 people are right handed is about 27.25%.
If the chance a person is left handed, the chance a person is right handed is 85%.
Now, we just need to find the chance that this 85% event happens 8 times in a row.
Simply, multiply it by itself 8 times.
(0.85)^8 = 0.2725
There is a 27.25% chance all 8 people are right handed.
The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
brainly.com/question/4074386
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<2 and <3 are supplementary angles...therefore they must equal 180°
since <2 = 125
you can find the measure of <3 by subtracting the measure of <2 from 180°
180 - 125 = 55° < answer
hope this helps :)
Answer:
1 1/2
Step-by-step explanation:
3^3/7 ≈ 1.601
1.601 rounded to the nearest half is 1 1/2.
