Answer: 93.6 hrs
Step-by-step explanation: 8hr ÷ 6yards = 1.3 yards per hr.
72 yards × 1.3 yards per hr = 93.6 hrs
If the commutative property indicates that a+b=b+a with the problem being 98,551+2,841=2,841+n, its a pretty safe assumption that n would equal 98,551. a would be 98,551 as b would be 2,841.
Answer:
- <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>
- <u>This kind of probability is called conditional probability</u>
Explanation:
Name the events and their probabiities:
- Event A: her favorite character will survive, so P (A) = 0.70
- Event B: her her second favorite character will die, so P(B) = 0.75
- Both characters will die ⇒ P (B and not A) = 0.16
You want to find P (B | not A).
That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.
- P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3
So, you have P(B), P(not A) and want to find P (B | not A)
The definition of conditional probability is:
- P (X | Y) = P (X and Y) / P (Y)
So, replacing with our terms, we get:
- P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:
(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4
The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.
m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4
Therefore, the slope of the line perpendicular to line MN is -4.
