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%.
The correct answer is a || move the constant over (5x=-15-5), combine like terms (5x=-20), divide both sides by 5 to get x alone (x=-20/5), solve (x=-4) || please mark brainliest
Answer: X<-3
Step-by-step explanation: I got this becuase the open dot with the arrow point left means anything lower than -3, if it was closed (filled in) dot, it would be anything -3 and lower. But since it’s not, it’s just anything lower than -3.
Move the x over to the other side
2y=10-5x
Divide both sides by 2 to get the y alone
y=-5/2x+5
Find m from the equation of a line (y=mx+b)
m=-5/2
Slope=-5/2
<u>Answer:</u>
29 years
<u>Step-by-step explanation:</u>
- Given the function
, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover. - Another way of doing this is to change the function to
which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. - I'll use the 1st function because the question doesn't ask for the rate
From here I'll just use a calculator & get 28.7, or 29 years.
