Answer:
the probability is 0.24 or 24%
Step-by-step explanation:
Given
Percentage of time he goes out with his girlfriend = 40%
Percentage of time he goes out to a bar = 60%
If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%
If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%
let probability that the roommate went to the bar = A
As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar
that is Pr(B) =Pr (B n A)
Pr(B) = Pr(B/A) *Pr(A)
This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)
This gives an answer of 0.24 or 24%
Answer:
1/6
Step-by-step explanation:
two events need to happen: tutti frutti needs to be shown by first spinner and second spinner needs to show dish
probability of tutti frutti = 1/3
probability of dish = 1/2
probability of both events = 1/3 * 1 /2 = 1/6
Answer:
0.717 or 71.7%
Step-by-step explanation:
P(M) = 0.852
P(D) = 0.759
P(M or D) = 0.894
The probability that a randomly selected American has both medical and dental insurance is given by the probability of having medical insurance, added to the probability of having dental insurance, minus the probability of having either insurance:
The probability is 0.717 or 71.7%.
we know that
Applying the law of cosines:
c² = a² + b² - 2abcos(C)
where:
a,b and c are sides of the triangle and C is the angle opposite side c
let
a=170 mi
b=200 mi
c=160 mi
that is
160² = 170² + 200² - 2(170)(200)cos(C)
solve for C
25,600 = 28,900 + 40,000 - 68,000cos(C)
25,600 - 28,900 - 40,000 = -68,000cos(C)
-43,300=-68,000cos (C)
cos (C)=0.6367
C=arc cos(0.6367)--------> C=50.45°
hence,
he should turn in the direction of island b by
180 - 50.45 = 129.55 degrees
the answer is
129.55 degrees
If you're adding positive numbers together, then the order in which you write or group the addends doesn't matter.
If you're "adding" a negative number to a positive number, it's a little easier to visualize this problem if you write the positive number first, followed by the negative number.
But if you're "adding" -15 to 8, it'd make sense to write the -15 first (because its magnitude is greater) and then the 8: -15 + 8 = -7
