Answer:
1) 6 1/2
Step-by-step explanation:
Put 3 1/4 where "a" is and do the arithmetic.
2(3 1/4) = 2·3 + 2·(1/4) = 6 2/4 = 6 1/2
Answer:
B x = sqrt(48)
Step-by-step explanation:
Half of the bottom side measures 4.
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = sqrt(48)
Answer: B x = sqrt(48)
Thee correlation factor formula for two variables is
(r) =[ nΣxy – (Σx)(Σy) / Sqrt([nΣx^2 – (Σx)^2][nΣy^2 – (Σy)^2])].
A). as per the formula the correlation factor for the given data is 0.94.
B). the month of September has the highest correlation as 0.94 is much closer to 1 than 0.89.( note: 1 denotes the perfect correlation and 0 denotes no correlation at all)
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<h3>
Answer:</h3>
C (see attached)
<h3>
Step-by-step explanation:</h3>
The linear portion of the graph is defined for x ≥ 1, with the point x=1 included. Only selections A and C do that.
The quadratic portion of the graph is defined for x < 1. Only selection C does that. (Selection A is doubly-defined for x > 1, so is not a function. It is undefined for x < 1.)
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
