Given the equation: 4 (x - 3) = 20

Identify the reason for each step in solving the equation.

1st Step: 4x - 12 = 20

Reason:

2nd Step: 4x - 12 + 12 = 20 + 12

" 4x = 32

Reason:

3rd Step: 4x : 4 = 32 : 4

" x = 8

If the probability of a machine producing a defective part is 0.05, what is the probability of finding exactly 5 defective parts from a sample of 100? (Assume that the process follows a binomial distribution and round answer to four places)

Sarah's kitten only weighed 13/4 pounds. But, the kitten gained 3/4 pounds after a week of eating vitamin fortified kitten food.

Convert the following quadratic function from vertex form to standard form. f (x) = - 3 (x-4) ^2+7

A furlong is a unit of length still used today in racing and agriculture. a race that is 8 furlongs is 1 mile. a furlong is 660 feet. how many furlongs are in 1 mile?

6,000 is 10 times as much as

Mike and pat traveled 392 miles in 7 hours. If they travel at the same rate how long will it take them to travel 728 miles

Norma received one penny on first day of the month and each day after that she received triple number of pennies

Round-trip bus fare is $2. Justin rides the bus 5 days a weeks to work and 2 nights a week to school. He can buy a pass at school that allows 6 months of unlimited bus rides for $400.

Suppose that the number of inhabitants of country a is given by y=-7.24x+937.69 million, and the number of inhabitants of country b is given y=2.16x+834.29 million, where x is the number of years since 1960.

What is the sum of the geometric sequence 1, 3, 9, if there are 11 terms?