Answer:
200 adults
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.
We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.
We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.
Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.
- 2(200-a)+4a=800
- 400-2a+4a=800
- 400+2a=800
- 400-400+2a=800-400
- 2a=400
- a=200
This means that 200 adults attended and 0 children attended.
Answer:
C) The expected value is -$2000, so the detective should not take the job.
Step-by-step explanation:
The expected value is the sum of products of income and probability:
E = -10,000·1.00 + 80,000·0.10 = -10,000 +8,000 = -2,000
The detective can be expected to lose money on the job, so should not take it.
The Answer is A, verified apex