What is the solution to the system of equations? I will mark the brainliest answer
1 answer:
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Answer:
Ques 1:
Let us consider the system of equations,
and
It is known that 'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.
So, after plotting the given graphs, we see that from the first graph,
The only intersection point is (1,1).
Thus, the solution of the system is x= 1 and y= 1.
Ques 2:
We have the functions, f(x)= 2x+1 and g(x)= 2x^2+1.
Plotting the graphs of both the functions is shown by graph 2, we see that,
The intersection points are (0,1) and (1,3)
Hence, the function have equal values only at x= 0 and x= 1 but not at x= 3.
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>