A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows. Money-market 22% High-risk stock 17% Short bond 11% Moderate-risk stock 25% Intermediate bond 12% Balanced 8% Long bond 5%

Question Continuation

A customer who owns shares in just one fund is to be selected at random.

a. What is the probability that the selected individual owns shares in the balanced fund?

b. What is the probability that the individual owns shares in a bond fund

a. 0.08

b. 0.28

Step-by-step explanation:

Given

Money-market 22%

High-risk stock 17%

Short bond 11%

Moderate-risk stock 25%

Intermediate bond 12%

Balanced 8%

Long bond 5%

a. What is the probability that the selected individual owns shares in the balanced fund?

Let P(Balanced) = The probability that the selected individual owns shares in the balanced fund

P(Balanced) is given as 8% from the above table

So, P(Balanced) = 8/100

P(Balanced) = 0.08

b. What is the probability that the individual owns shares in a bond fund

Let P(Bond) = The probability that the individual owns shares in a bund fund

P(Bond) = P(Short Bond) + P(Intermediate Bond) + P(Long Bond)

P(Short Bond) = 11%

P(Intermediate Bond) = 12%

P(Long Bond) = 5%

So, P(Bond) = 11% + 12% + 5%

P(Bond) = 28%

P(Bond) = 0.28

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".