Answer:
SOLUTION:
The volume V of a prism is V = Bh, where B is the
area of a base and h is the height of the prism.
The volume is ==== 108 cm3
.
Step-by-step explanation:
Answer: 0.25
Step-by-step explanation:
The data we have is:
Slacks: one brown, one black.
Sweaters: one tan, one red, one white.
Shirts: one white, one gray.
If the clothes are selected at random, then the probability that Julie will wear brown slacks is equal to the number of brown slacks, divided the total number of slacks.
We have 1 brown slack and 2 slacks in total, so the probability is:
p1 = 1/2 = 0.5
We do the same for the white shirt, we have 2 shirts and one is white, so the probability is:
p2 = 1/2 = 0.5
And we do not have any condition in the sweater, so we can ignore that selection.
Then the probability of both events happening at the same time (that Julie will wear brown slacks and a white shirt) is equal to the product of the individual probabilities: P = p1*p2 = 0.5*0.5 = 0.25
Answer:
In this case we use the Poisson distribution because we are talking about the occurrence of an event (number of tracks) over a specified interval (in this case an area interval).
The probability of the event occurring x times over an interval is:
P(x) = nˣ × e⁻ⁿ ÷ x!
where n is the mean.
a) P(7) = 6⁷ × e⁻⁶ ÷ 7! = 0.1376
b) P(x ≥ 3) = 1 - P(x < 3) = 1 - P(2) - P(1) - P(0)
P(2) = 6² × e⁻⁶ ÷ 2! = 0.0446
P(1) = 6¹ × e⁻⁶ ÷ 1! = 0.0149
P(0) = 6⁰ × e⁻⁶ ÷ 0! = 0.0025
P(x ≥ 3) = 0.9380
c) P(2 < x < 7) = P(3) + P(4) + P(5) + P(6) = 0.0892 + 0.1339 + 0.1606 + 0.1606 = 0.5443
d) The mean is going to be 6.
e) The standard deviation is √n = √6 = 2.4
Answer:
About 879.877
Step-by-step explanation:
To find f,
f(13) = 45,000(0.9)^13
13f = 45,000(0.25418658283)
13f = 11438.3962274
f = 879.877
Please tell me I did this the right way, Thanks!
