We can find out two point on the line (0,2)and(4,1)
The slope =(2-1)/(0-4)=-1/4
Answer:
The histogram is right-skewed.
Step-by-step explanation:
The income of all households in the United States can be categorized as low, medium and high.
Not many people earn a high income. So the proportions of people decreases as the income increases.
Most of the people earn a medium income. So the mode of the data would be somewhere in the start of the the distribution.
There are many households that earn a low income. But this proportion is not more than the proportion of people earning low income.
So the histogram for income distribution will have a long right tail with maximum data at the starting point.
This implies that the histogram is right-skewed.
A line parallel to the given one will have the same slope, 0.5. For the purpose here, it is convenient to start with a point-slope form of the equation, then simplify. For slope m and point (h, k), the equation of the line can be written as
... y = m(x -h) +k
We have m=0.5, (h, k) = (-9, 12), so the equation is ...
... y = 0.5(x +9) +12
... y = 0.5x +16.5
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:

<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:

Let's equate both equations for area and find x first:

We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
9. 25
10. 70%
11. 30
12. Turn 5/6 to a decimal then multiply it times 100 and add your percent sign