Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences. graph
of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2
1 answer:
Answer:
(2,0) is not a solution of the system. The point does not belong to any of the graphs.
Step-by-step explanation:
To easily solve this question, we can graph both equations in a graphing calculator, and verify the intersection point, which is equal to the solution of the system of equations.
Plotting the graphs
y = 3x + 2
g = |x-1| +1
We obtain the intersection point
(0,2)
Solution of the system of equations
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Answer:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:
And we can use the probability mass function and we got: