Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?
2 answers:
Answer:
The answer in the attached figure
Step-by-step explanation:
Method 1
we have
Rewrite the equation as a compound system of equations
-----> equation A
-----> equation B
Using a graphing tool
The solution of the system of equations is the intersection point both graphs
see the attached figure
the solution is
Method 2
we have
Group terms that contain the same variable and move the constant to the other side of equation
Combine like terms
Divide by both sides
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Answer:
Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.
Step-by-step explanation:
We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.
If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 20 children
r = number of success = none of the 20 children
p = probability of success which in our case is probability that
children are unvaccinated, i.e; p = 13.5%
<u><em>Let X = Number of children that are unvaccinated</em></u>
So, X ~ Binom(n = 20, p = 0.135)
Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)
P(X = 0) =
=
= 0.055
<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>