tutyfruity29
06.03.2020 •
Mathematics
Event A: Rolling an even number on a fair die, Event B: Rolling a 6 on a fair die. Event C: Rolling an odd number on a fair die. Given the three events, which of the following statements is true? Select all that apply. Select all that apply a. Event A and Event B are mutually exclusive.b. Event B and Event C are mutually exclusive.c. Event A and Event C are not mutually exclusive.d. Event A and Event C are mutually exclusive.
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Ответ:
MN Zoo should buy 10 snakes and 4 monkeys with the donation funds
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
MN Zoo has to spend at least US$ 200 in animals
Price of each snake = US$ 4
Price of each monkey = US$ 40
Total number of animals = 14
Daily cost of feeding a snake = US$ 0.10
Daily cost of feeding a monkey = US$ 0.50
2. If the zoo is trying to keep feeding costs to a minimum, how many of each animal should be bought.
For solving the problem, let's build the following system of equations:
x + y = 14
4x + 40y = 200
Solving for x on 1st equation
x + y = 14
x = 14 - y
Solving for y on 2nd equation
4x + 40y = 200
4 (14 - y) + 40y = 200
56 - 4y + 40y = 200
36y = 200 - 56 (Subtracting 56 at both sides)
36y = 144
y = 144/36 = 4
Solving for x on 1st equation
x = 14 - 4
x = 10
MN Zoo should buy 10 snakes and 4 monkeys with the donation funds
The daily feed costs will be US$ 3