15 points: the probability of rolling a 6 on a number cube is 1/6. the probability of rolling a 6 twice is (1/6)^2= 1/36. a.) write an expression that represents the probability of rolling 6 n times in a row.

b.) what is the probability of rolling a 6 five times in a row?

c.) what is the probability of flipping heads on a coin five times in a row?

a) The probability of rolling a 6 n times is .

b) The probability of rolling a 6 five times in a row  

c) The Probability of flipping heads on a coin five times in a row

Step-by-step explanation:

Given : The probability of rolling a 6 on a number cube is .

The probability of rolling a 6 twice is .

To find :

a.) Write an expression that represents the probability of rolling 6 n times in a row.

The probability of rolling a 6 on a number cube is .

The probability of rolling a 6 twice is .

So,The probability of rolling a 6 n times is .

b.) What is the probability of rolling a 6 five times in a row?  

Substitute n=5 in part (a)

c.) What is the probability of flipping heads on a coin five times in a row?

Coin has two sides

Probability of getting heads is .

Probability of flipping heads on a coin five times in a row

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17