The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l =
48
Your answer is
48
.
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