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
Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
Answer:
There are no real solutions to this equation
Step-by-step explanation:
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
The given inequality is:
6m + 2 > - 27
Subtract 2 to both sides of the inequality
6m + 2 - 2 > -27 - 2
6m > -29
Divide both sides by 6

For the inequality 8(p-6)>4(p-4)
Expand the inequality using the distributive rule
8p - 48 > 4p - 16
Collect like terms
8p - 4p > -16 + 48
4p > 32
Divide both sides of the inequality 4

The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
Learn more here: brainly.com/question/15816805