Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
Which one do you need help with?
The answer that you're looking for is B
Answer:
778
Step-by-step explanation:
We have the length of stay as X
X~N (9,(2.4))
The sample is given as n = 1000
P(7<x<14) is what we are trying to get
P(7-9/2.4 < x-9/2.4 < 14-9/2.4)
= P(-0.83<z<2.08)
P(z<2.08)-p(z<-0.83)
When we go to the z table,
0.981-0.0203
= 0.778
0.778x1000
= 778
So in conclusion, 778 of these guests can be expected to stay between 7 and 14 days.
