Forty dash one percent of people in a certain country like to cook and 68% of people in the country like to shop, while 14% enjoy both activities. what is the probability that a randomly selected person in the country enjoys cooking or shopping or both?

0.86 or 86%

Step-by-step explanation:

The data given represent 41% of people in a certain country like to cook and 68% of people in the country like to shop, while 14% enjoy both activities.

The probability that a randomly selected person in the country enjoys cooking or shopping or both.

People who like to cook P(C) = 41% = 0.40

People who like to shopping P(S) = 68% = 0.60

People who like cooking and shopping both P(C∩S) =  14% = 0.14

People who like cooking or shopping or both = P(C∪S)

                        = P(C) + P(S) - P(C∩S)

                        =  0.40 + 0.60 - 0.14

                        = 0.86

The probability that a randomly selected person in the country enjoys cooking or shopping or both is 0.86 or 86%

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°