Answer:
60.6%
0.0003%
Step-by-step explanation:
Because they are independent events, the final probability will be the multiplication of each event, that is, 0.92 multiplied 6 times, in other words:
0.92 ^ 6 = 0.606
that is to say that the probability that the 6 men survive is 60.6%
Now, to calculate that at least one survives, it means that 5 died, the probability that one dies is 1 - 0.92 = 0.08, and how they are 5 would be:
0.08 ^ 5 = 0.0000032768
Then multiplied by 0.92, which is that one survives, we are left with:
0.0000032768 * 0.92 = 0.00000301465
Which means that the probability of one surviving is 0.0003%, it is a very low probability because the probability of surviving is really high.
Answer:
(1/5)x + 7 ≤ 11
Subtract 7 from both sides to isolate x:
(1/5)x ≤ 4
Multiply by 5 to cancel the fraction (both sides):
(5/5) x ≤ 4(5)
x ≤ 20
This one takes time to type all the math work.
Let me see.
There are two triangles here.
They both have the same area.
A = (1/2)(base)(height) times 2
A = (1/2)(42)(56) times 2
A = 1,176 times 2
A = 2,352 inches^2.
We also have three rectangles. We need to find the area of each rectangle individually.
Area of bottom rectangle = 42 times 72 or 3,024 inches^2.
Area of back rectangle = 56 times 72 or 4,032 inches^2.
Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.
We now add all the areas together to find the total area of the entire figure.
Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2
Total area = 14,448 inches^2
Done!
Did you understand what was done here?
