Question 3 (1 point)

At the beginning of the basketball season, the coach noticed that for a randomly selected shot at the basket, the probability that the ball hits

the rim whether it goes in or not is 0.19. the probability that the shot is made whether it hits the rim or not is 0.17, and the probability that the

ball hits the rim and goes in is 0.05. Find the probability that a randomly selected shot either hits the rim or goes in

The probability that a randomly selected shot either hits the rim or goes in is 0.31.

Step-by-step explanation:

The probability of the union of two events A and B is given by:

Denote the events as follows:

X = the ball hits  the rim

Y = the ball goes in

The information provided is:

P (X) = 0.19

P (Y) = 0.17

P (X ∩ Y) = 0.05

Compute the value of P (X ∪ Y) as follows:

Thus, the probability that a randomly selected shot either hits the rim or goes in is 0.31.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the correct answer is $7.38

step-by-step explanation: