We know the cofunction identity

.
Thus, the tangent of 90° minus <span>θ also equals
5.</span>
5-(n-4)=3(n+2)
5-n+4=3n+6
9-n=3n+6
3=4n
n=3/4
Answer:
The probability that the selected person is a woman engineering major is 0.0396.
Step-by-step explanation:
The proportion of students at the university who are women is 0.42.
<em>P (W) = 0.42</em>
The proportion of students at the university who are engineering majors is 0.18.
<em>P (E) = 0.18</em>
The proportion of engineering majors that are women is 0.22.
<em>P (W|E) = 0.22</em>
The proportion of students at the university that are woman and engineering major is:

Thus, the probability that the selected person is a woman engineering major is 0.0396.
Answer:
Option b) 0.161
Step-by-step explanation:
We are given the following information:
We treat correct as a success.
P(Correct Answer) =
= 0.2
Then the number of questions follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 11
We have to evaluate:
P(answer at least 4 questions correctly)

Thus, 0.161 is the probability that Richard will answer at least 4 questions correctly.
Option b) 0.161
The 3 in 357 means 300 while the 3 in 734 is 30 the first is a hundred place while the second is a tens