Question

S={y-7,x}. The mean of set S is 3y. What is that unknown member of the set, x, in terms of y and z?

A 3y

B z-5y

C z+5y

D z-3

E 4y+3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean of the set S, we need to add up all the elements and divide by the number of elements. In this case, there are two elements: y-7 and x.

Mean = (y-7 + x)/2

We are given that the mean is equal to 3y:

3y = (y-7 + x)/2

Multiply both sides by 2 to eliminate the fraction:

6y = y-7 + x

Rearranging the equation, we can solve for x:

x = 6y - y + 7

Combining like terms, we get:

x = 5y + 7

Therefore, the unknown member of the set, x, in terms of y and z is option: C) z+5y.