A survey shows that 30% of the residents of a particular town read the morning paper 25% read the afternoon paper, and 10% read both. A. One resident is randomly selected. What is the probability that this person reads only the morning paper?
B. Given that a random resident reads the morning paper, what is the probability that this resident also reads the afternoon paper?

A) 0.20

B) 0.06

Step-by-step explanation:

From the question above we have the following information;

30% of the residents of a particular town read the morning paper

Probability (of the residents that read morning paper) = 0.3

25% read the afternoon paper

Probability (of the residents that read afternoon paper) = 0.25

10% read both

Probability (of the residents that read both) = 0.10

A. One resident is randomly selected. What is the probability that this person reads only the morning paper?

Probability( that this person reads only the morning paper) = Probability (of the residents that read morning paper) - Probability (of the residents that read both)

= 0.30 - 0.10

= 0.20

B. Given that a random resident reads the morning paper, what is the probability that this resident also reads the afternoon paper?

Probability( that this resident also reads the afternoon paper) = Probability (of the residents that read morning paper) × Probability (of the residents that read afternoon paper)

= 0.30 × 0.20

= 0.06

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .