8. Separate 84 into two parts such that one part will be 12 less than twice
the other.

x + (2x-12) = 84

x = 32

Step-by-step explanation:

you can say (part 1) + (part 2) = 84

one part is x (a variable) and

other part is 12 less than twice the other: when it says "12 less" is " - 12" and twice of part one 2x, you can say (2x - 12)

(part 1) + (part 2) = 84

x + (2x-12) = 84

3x - 12 = 84

3x = 96

x = 32

(part 1) + (part 2) = 84

(32) + (2*32 - 12) = 84

(32) + (52) = 84

The probability a flower is AT LEAST 74 inches tall is 0.2525.

Step-by-step explanation:

Since the height is normally distributed, we can use normalcdf to solve for the probability. First, find the Z-score of 74, which is (x-mu)/standard deviation. Solving, Z=(74-72)/3, or 2/3. Using normalcdf(2/3, 10^99, 0, 1), we get the probability a flower is AT LEAST 74 inches tall to be 0.2525.

Note: If you're asking for the probability that a flower is equal to 74 inches tall, it would be 0, since individual values have no probability.