Which part needs answering ?
Lets discern the infomation:
number_men = 165*0.6 = 99
so there are 99 men
non_fiction = 165 * 0.4 = 66
so 66 authors write non-fiction.
men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.
probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99
so in total 99 man + 26 women = 115 authors
hence the probability is:
115/165 = 69.6%
5√2 · 9√6
Simplify.
5 × 9 √ 2 x 6 ⇒ Multiply 2 × 6.
5 × 9 √12
Simplify √12 to 2√3.
5 × 9 × 2√3 ⇔ Multiply
90√3
Therefore, the <u>correct alternative</u> is <u>option "B".</u>