What is the similarity ratio of the smaller triangle to the larger triangle? Simplify the scale factor, if necessary!

9514 1404 393

  2/3

Step-by-step explanation:

Compare the shortest sides:

  smaller : larger = 10 : 15 = 2 : 3

The scale factor is 2/3.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).