The answer is 0.50.
P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50
Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.
30+(20x)=y
30 is the money you had from the start of the garage sale.
20 is what you are getting per hour
y equals the total money you are earning at the end of the garage sale
We know A=L•W so set 43 equal to A. Equation should look like this thus far: 43=L•W. Now when the question says more than we know that means adding. Since we don’t know the width let w=width. So know your equation should look like this: 43=2+w•(w). Knowing this equation you should be able to solve for the dimensions of the sign. If you need help on that let me know.
First let's find the slope of line joining (2, 5) and (4, 4)
Assuming points (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (4 - 5) / (4 -2) = -1/2 = -0.5
From equation of line: y = mx + c
y = -0.5x + c
Using the point (2 , 5) as passing through y = -0.5x + c
x = 2, y = 5
5 = -0.5*2 + c
5 = -1 + c
5 + 1 = c
6 = c
c = 6
Therefore the y-intercept which is c = 6
y-intercept = 6
Hope this explains it.
1.636x10^5 after adding or 163600 depending on the form wanted
