Of the 64 people who answered yes to question 6 were male. of the 70 people that answered no to the question 8 or male. if one person is selected at random from the group what is the probability that the person answered yes or was male? 0.537 0.582 0.104 0.094

A. 0.537

Step-by-step explanation:

Number of people answering yes = 64

Number of people answering no = 70

Total number of people who answered = 64 + 70 = 134

Thus, the probability of answering yes = P(Y) = = 0.478

Further, out of 64 people answering yes, number of males = 6 and out of 70 people answering no, number of males = 8

We get, the probability of males answering yes = P(Y and M) = = 0.045

Since, total number of male = 6 + 8 = 14

Thus, the probability of males = P(M) = = 0.104

Now, as we have, P(Y or M) = P(Y) + P(M) - P(Y and M)

i.e. P(Y or M) = 0.478 + 0.104 - 0.045

i.e. P(Y or M) = 0.582 - 0.045

i.e. P(Y or M) = 0.537

Hence, the probability that the person answered yes or was a male is 0.537.

table 3 represents a direct variation function. : )

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204