A manager oversees 11 female employees and 9 male employees. They need to pick 3 of these employees to go on a business trip, so the manager places all 20 names in a hat and chooses at random. Let X = the number of
female employees chosen.
Is X a binomial variable? Why or why not?

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality