Committee consists of six freshmen, five sophomores, three juniors, and one senior. a.) a subcommittee of four is to be chosen at random. what is the probability that all fourclasses are represented on the subcommittee? b.) answer the question in part (a) if a subcommittee of five is chosen (instead of a sub-committee of four).

a) 0.0659

b) 0.1648

Step-by-step explanation:

6 Freshmen

5 Sophomores

3 Juniors

1 Senior

Total 15 people

a) Form a subcommittee with 4 people and all classes

should display this subcommittee. That is, of the 4 categories, all

they must participate.

For a freshman to participate we have to:

For a sophomore to participate, we have to:

For a junior to participate, we have to:

For a senior to participate, we have to:

The number of possible subcommittees is

So consider

A: "All 4 classes are represented"

b) Taking the last class, we can choose 2 people from the other groups.

Therefore, we vary the number of people as follows:

Choosing two freshmen and 1 from the other classes

Choosing two from sophomore and one from other classes

Choosing two juniors and 1 from the other classes

The number of possible subcommittees is

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation: