For boys, the average number of absences in the first grade is 14 with a standard deviation of 4; for girls, the average number of absences is 9 with a standard deviation of 3. In a nationwide survey, suppose 100 boys and 64 girls are sampled. What is the probability that the male sample will have 4 to 6 more days of absences than the female sample? Round your answers to 4 decimal places.

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven