X + 3y = 7,
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + 3y = 7 → (1)
2x + 4y = 9 → (2)
Solving for y in the second equation.
Rearrange (1) expressing x in terms of y by subtracting 3y from both sides
x = 7 - 3y → (3)
Substitute x = 7 - 3y into (2)
2(7 - 3y) + 4y = 9 ← distribute and simplify left side
14 - 6y + 4y = 9
14 - 2y = 9 ( subtract 14 from both sides )
- 2y = - 5 ( divide both sides by - 2 )
y =
Substitute this value into (3) for corresponding value of x
x = 7 - 3( ) = 7 -
= -
Solution is ( - ,
)
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Answer:
Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.
Step-by-step explanation:
We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.
Also, five people have people have been randomly selected.
The above situation can be represented through binomial distribution;
where, n = number trials (samples) taken = 5 people
r = number of success = exactly two
p = probability of success which in our question is probability that
public have responded to a telephone call-in poll, i.e; p = 25%
<em><u>Let X = Number of people who have responded to a telephone call-in poll</u></em>
So, X ~ Binom(n = 5, p = 0.25)
Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)
P(X = 2) =
=
= <u>0.264</u>
<em>Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.</em>