Aschool has 200 seniors of whom 140 will be going to college next year. forty will be going directly to work. the remainder are taking a gap year. fifty of the seniors going to college play sports. thirty of the seniors going directly to work play sports. five of the seniors taking a gap year play sports. what is the probability that a senior is taking a gap year?

The probability that a senior is taking a gap year is 0.1.

Step-by-step explanation:

A school has 200 seniors of whom 140 will be going to college next year. 40 will be going directly to work.

The remainder are taking a gap year.

50 of the seniors going to college play sports.

30 of the seniors going directly to work play sports.

5 of the seniors taking a gap year play sports.

The probability that a senior is taking a gap year is given by :

= = 0.1

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.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: