Answer:
x = 4
Step-by-step explanation:
They are vertical angles so they are the same.
10x+60=30x-20
80=20x
4=x
Answer:
1) 1.8
2) 1.7
Step-by-step explanation:
(for part A)
Mean: 3 + 5 + 6 + 3 + 2 + 2 + 1 + 0 + 0 + 4 + 7 + 4 + 5 + 5 + 6 = 53/15 = 3.5
3.5 - 3 = 0.5
3.5 - 5 = 1.5
3.5 - 6 = 2.5
3.5 - 3 = 0.5
3.5 - 2 = 1.5
3.5 - 2 = 1.5
3.5 - 1 = 2.5
3.5 - 0 = 3.5
3.5 - 0 = 3.5
3.5 - 4 = 0.5
3.5 - 7 = 3.5
3.5 - 4 = 0.5
3.5 - 5 = 1.5
3.5 - 5 = 1.5
3.5 - 6 = 2.5
mean absolute deviation: 0.5 + 1.5 + 2.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 0.5 + 3.5 + 0.5 + 1.5 + 1.5 + 2.5 = 27.5/15 = 1.8
(part B)
Mean: -3 + -2 + -1 + 0 + 1 + 2 + 3 = 0/7 = 0
0 - (-3) = 3
0 - (-2) = 2
0 - (-1) = 1
0 - 0 = 0
0 - 1 = 1
0 - 2 = 2
0 - 3 = 3
mean absolute deviation: 3 + 2 + 1 + 0 + 1 + 2 + 3 = 12/7 = 1.7
Answer:
800 dollars
Step-by-step explanation:
Given:
Radius of the sphere = 10 in
To find:
The surface area of a sphere
Solution:
Surface area of sphere:
in²
The surface area of a sphere is 400π in².
To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
