Answer:
The expected revenue of the tour operator is 985.
Step-by-step explanation:
There are two outcomes:
Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.
Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so
.
Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.
Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is
.
So, the expected revenue of the tour operator is

Rounded up, the expected revenue of the tour operator is 985.
Answer:5
Step-by-step explanation:
Add 4 and 1
ANSWER
93 and 70
EXPLANATION
We have that one number is 23 more than another.
Let the first number be x.
Let the second number be y.
This means that:
x = 23 + y ____(1)
The sum of the two numbers is 163. This means that:
x + y = 163 ____(2)
Put (1) in (2):
23 + y + y = 163
23 + 2y = 163
2y = 163 - 23
2y = 140
y = 140 / 2
y = 70
From (1):
x = 23 + 70
x = 93
The two numbers are 93 and 70.
Hello from MrBillDoesMath!
Answer:
36 degrees
Discussion:
The attachment shows calculated angles in red. As a straight line has 180 degrees the missing angle at A is 180 - 72 = 108 degrees (shown in red). The missing angle at B is 180 - 144 = 36. As a triangle has 180 degrees.
x + 108 + 36 = 180 => as 180 + 36 = 144
x + 144 = 180 => subtract 144 form both sides
x = 180 - 144 = 36
Thank you,
MrB