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: we need you to show us the graph in order to help you.
3 yards = $7.47
1 yard = $(7.47 ÷ 3) = $2.29
2 yards = $ (2.29 × 2) = $5.58
$ (7.47 + 5.58) = $ 13.05
The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equations are given below.
a) - 9x + 7 > 16 + 12x
b) 18 + 13x < 14x - 11
Then
a) - 9x + 7 > 16 + 12x
Solving for x, we have
21x < -9
x < -3/7
The value of x is less than the negative of 3/7.
b) 18 + 13x < 14x - 11
Solving for x, we have
x > 29
The value of x is greater than 29.
More about the inequality link is given below.
brainly.com/question/19491153
#SPJ1
Answer:
s = 1.35 (See explanation!)
Step-by-step explanation:
To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:
Equation:
4s = 5.4
Note: the 4s is the total perimeter (4 * side)
Now, solve:
4s = 5.4
Divide by four to isolate the s:
4s/4 = 5.4/4
Finally:
s = 1.35
