Amir, bobby, cario, and dante are on a baseball team. their coach is going to select two of them randomly to be home plate umpire and field umpire at an upcoming little league game. what is the probability that cario will be selected as home plate umpire and amir will be selected as field umpire?

1/12

Step-by-step explanation:

There are 4 members total (Amir, Bobby, Cario, and Dante). You have to set up an equation:

1/4 *1/3

You get 1/4 from Cario because there is only one of him and 4 members present. Then, you get 1/3 from Amir because, again, there's only one Amir and this time only 3 members to choose from, since Cario was already picked beforehand.

Multiply 1*1 to get 1. And then multiply 4*3 to get 12. Your final answer should be 1/12

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

sine

step-by-step explanation: