Answer:
Answer is 628 cm^3
Step-by-step explanation:
using base area lets find radius
base area=pie*(r)^2
78.50=3.14*r^2
78.50/3.14=r^2
25=r^2
5=r
now using lateral area lets find height
lateral area=2*pie*r*h
251.20=2*3.14*5*h
251.20=31.4*h
251.20/31.4=h
8=h
volume of cylinder=pie*(r)^2*h
=3.14*(5)^2*8
3.14*25*8
=628 cm^3
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
Answer:
43
Step-by-step explanation:
You would take 5% as a decimal (0.05) and multiply 860 by the decimal.
Answer 9/7 = 3/4 & 10/25= 2/5