Factor the expression 5x^2-18x+9

(5x−3)(x−3)

Step-by-step explanation:

For a polynomial of the form

ax2+bx+c, rewrite the middle term as a sum of two terms whose product is

a⋅c=5⋅9=45 and whose sum is b=−18.

5x2−3x−15x+9

Factor out the greatest common factor from each group.

x(5x−3)−3(5x−3)

Factor the polynomial by factoring out the greatest common factor, 5x−3.

(5x−3)(x−3)

a) 10 weeks

b) P(k≤2)=0.190

c) P(k>17)=0.167

Step-by-step explanation:

This problem can be solved applying the geometric distribution.

The probability of needing k weeks to find an acceptable apartment can be written as:

a) The expected value of this distribution is:

10 weeks

b) The probability of finding an acceptable department in the first 2 weeks is:

c) We have to calculate P(k>17)