Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
A ) Length = 5 - 2 x
Width = 3 - 2 x
The area of the bottom:
A = L x W = ( 5 - 2 x ) ( 3 - 2 x ) = 15 - 10 x - 6 x + 4 x² =
= 4 x² - 16 x + 15
b ) 4 x² - 16 x + 15 = 10
4 x² - 16 x + 5 = 0
x = (16 - √(256 - 80))/ 8 = ( 16 - 13.266 ) / 2
x = 0.34 in
People need to start making the points a bigger value
Answer:
0.2839 = 28.93%
Step-by-step explanation:
In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z
Le x be tons of coal in a car
Z = (x – mean)/standard deviation
Z = (x – μ)/ σ
P (x<68.5) = P(z < (68.5-69)/0.9)
P (x<68.5) = P(z < -0.5555)
Then we use the z table to find the area under the curve.
P (x<68.5) = 0.2893
B. 0.930 ~Apex ;) .....................................
