Answer:
A. (–8, 2)
Step-by-step explanation:
The given system is
Let us equate both of them to get:
Multiply through by 4 to get:
Simplify:
Group similar terms:
Put x=-8 in the first equation:
The correct answer is A
Answer:
The expected number of seat belt wearing drivers among the five cars is 3.75, using the expected value of a binomial experiment.
Step-by-step explanation:
For each driver, there are only two possible outcomes. Either they wear their seatbelts, or they do not. This means that we solve this problem using concepts of the binomial probability distribution.
Binomial probability disitribution.
Probability of exactly x sucesses on n repeated trials, with p probability.
Has an expected value of:
.
(a) Describe how you would simulate the number of seat belt wearing drivers among the five cars.
You would simulate this number finding the expected value of the binomial experiment.
There are 5 cars, so .
75% of all drivers wear their seat belts, so .
So the expected number of seat belt wearing drivers among the five cars is:
The expected number of seat belt wearing drivers among the five cars is 3.75, using the expected value of a binomial experiment.
Answer:
-3
Step-by-step explanation:
Answer:
OK so your doing that lemmethink
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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