In how many ways can five people sit next to each other in a theater row

120 ways

Step-by-step explanation:

This is a problem of combination.

We will solve this in steps.

First person : He has 5 ways to be seated in the row.

Second person : He has 4 ways to be seated in the row as one seat is already occupied now.

Third  person : He has 3 ways to be seated in the row as two seats are already occupied now.

Forth  person : He has 2 ways to be seated in the row as three seats are already occupied now.

Fifth person : He has only 1 place to sit in the row as four seats are already occupied now.

Hence total number of ways =  5 x 4 x 3 x 2 x 1 = 120

Hence there are 120 ways for five people to be seated  together in a row

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b