The staff of a restaurant consists of 28 people (9 waiters, 13 waitresses and 6 cooks.) For Mother's Day, a total of 10 people will be selected to work. If the selections are made at random, determine the probability that 3 waiters 5 waitresses and 2 cooks will be selected.

0.1236

Step-by-step explanation:

Probability that an outcome is recorded is the division of the total possibility of the outcome desired divided by the total possible outcomes that can be gotten.

probability = favourable outcome/possible outcome

In this case, the favourable outcome is having 3 waiters, 5 waitresses and 2 cooks from a possible 9 waiters, 13 waitresses and 6 cooks and the possible outcome is having the 10 people chosen randomly from the available 28without conditions.

To find the number of ways to choose this option, the combination formular for selection is used.

Number of ways for preferred outcome of 3 waiters, 5 waitresses and 2 cooks from available 9waiters, 13 waitresses and 6cooks become:

= 9C3 × 13C5 × 6C2 = 1621620 ways.

If there are no restrictions and this 10 people are chosen at random from the 28 available staff, then the number of ways is 28C10 = 13123110

Probability of having 3 waiters, 5 waitresses and 2 cooks from available options= 1621620/13123110 = 0.1236

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540