Okay so here's how i think you solve it
both triangles have the same ratio, so set it as 3/4.5 (the smaller triangle) is equal to X/13.5 (the 9 added to the 4.5)
multiply 13.5/1 on both sides to get x alone
13.5 3
-------- x ------- = x x= 9
1 4.5
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:
-0.5
Step-by-step explanation:
5 2/3 is 51/9 as a mixed nuber
51/9––>17/3=5 2/3
