If you graph both sides of the equation 2(2x + 3) = 4x + 6, what will the graph look like?
2 answers:
Answer:
The graphs are identical and intersect at infinitely many points.
Step-by-step explanation:
Given the equation
we have to compare the graph of both sides of equation.
By distributive property,
which is equals to RHS of given equation i.e
The both sides of equation are identical.
Since both sides of equation are identical therefore intersect at infinitely many points.
Option 3 is correct.
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Answer:
95% confidence interval for the population variance = (1.42 , 2.62).
Step-by-step explanation:
We are given that the weights of 83 randomly selected windshields were found to have a variance of 1.88.
<em>So, firstly the pivotal quantity for 95% confidence interval for the population variance is given by;</em>
P.Q. = ~
where, = sample variance = 1.88
= population variance
n = sample of windshields = 83
So, 95% confidence interval for population variance, is;
P(58.85 < < 108.9) = 0.95 {As the table of
at 82 degree of freedom
gives critical values of 58.85 & 108.9}
P(58.85 < < 108.9) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<em><u>95% confidence interval for</u></em> = (
,
)
= ( ,
)
= (1.42 , 2.62)
Therefore, 95% confidence interval for the population variance of the weights of all windshields in this factory is (1.42 , 2.62).