The table shows the height of the water in a swimming pool every 4 hours while it leaked,
2 answers:
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Answer:
Write the problem as a mathematical expression.
y=−x²+18x−72
Rewrite the equation in vertex form.
y=−(x−9)²+9
Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.
a=−1
h=9
k=9
Find the vertex (h,k).
(9,9)
Good Luck !
Step-by-step explanation:
we'll start off by grouping some
so we have a missing guy at the end in order to get the a perfect square trinomial from that group, hmmm, what is it anyway?
well, let's recall that a perfect square trinomial is
so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.
so, there's our fellow, however, let's recall that all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add (1/2)², we also have to subtract (1/2)²
Answer:
The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is
The population standard deviation is
From the question we are told the confidence level is 92% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 92% confidence interval is mathematically represented as
=>
=>
So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval