QUESTION 18 Mark asserts that you could generate a random sequence of the numbers 2. 3.
Mark?
12 by repeatedly tossing a pair of dice. How would you respond to
O a. Mark is correct because rolls of the dice are random events.
O b. Mark is correct. each number from 2 through 12 has an equal chance of being rolled.
O c. Mark is not correct. While each die is a random sample for the numbers 1 to 6, the pair of dice is not a random
sample for the numbers 2 to 12 since the numbers are being added.
d. Mark is not correct. Each die is not a random sample for the numbers 1 to 6, so each number 2 through 12 does not
have an equal chance of being rolled.

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'.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

nswer: a   y-axis

step-by-step explanation: