Answer:
106
Step-by-step explanation:
Given :
Number of the set of siblings = 20
This 20 pair yields = 103.29, = 103.75, requals = 0.899, P-value = 0.000
Let x represents the IQ score of the younger child.
And y is the predicted value of Y(^).
So according to the question,
x = 105
and y = -9.5 + 1.1 x
Then,
y = -9.5 + 1.1 (105)
y = -9.5 + 115.5
y = 106
So the best predicted value of Y(^) is 106
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then .
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for :
Combine like terms and :
We are given .
So we have that .
The vertex happens at .
Compare to to determine .
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named at :
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is .
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
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Step-by-step explanation:
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Answer:
150*
Step-by-step explanation: