Match each description with its symbolic representation.
1. p (a)
2. p (a ∩ b)
3. p (a ∪ b)
4. 1 - p (a ∩ b)
5. 1 - p (a ∪ b)
6. p (a | b)

a. the probability that both event a and event b occur
b. the probability that event a occurs given the fact that event b occurs
c. the probability that event a occurs
d. the probability that either event a or event b occurs
e. the probability that both events a and b do not occur together, but either may occur by itself
f. the probability that neither event a or event b occurs

The matches are given below.

Step-by-step explanation:

we have to match each description with its symbolic representation.

1. P(A)               →  c.)The probability that event A occurs.

2. P (A ∩ B)      →  a.)The probability that both event A and event B occur.

3. P (A ∪ B)       →  d.) The probability that either event A or event B occurs

4. 1 - P (A ∩ B)  → e. The probability that both events A and B do not occur     together, but either may occur by itself

5. 1 - P (A ∪ B)   → f. The probability that neither event A or event B occurs

6. P (A | B)           → b.The probability that event A occurs given the fact that event B occurs

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet