Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another, that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:
Let's start with x = 1.
f(1) =
so
f(1) = 16 and the coordinate is (1, 16).
f(5) =
so
f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:
So the answer is -6.
Answer:
WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.
Step-by-step explanation:
The hypothesis :
H0 : σ = 13
H1 : σ < 13
Using the Chisquare Square statistic :
χ² = (n-1)*s²/σ²
Sample size, n = 25
s² = 6.0547²
σ² = 13²
χ² = (25 - 1)*6.0547² / 13²
χ² = 879.82541016 / 169
χ² = 5.206
The degree of freedom, df = 25 - 1 = 24
The Pvalue(5.206, 24) = 0.99981
Reject H0, if Pvalue < α ;
Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.
I'm pretty sure you can just use a Cartesian plane and since all of your points are (positive, positive) they'd all be in the First Quadrant (top right)
9514 1404 393
Answer:
Perimeter: 17 inches
Area: 8 square inches
Step-by-step explanation:
The ratio of perimeters is the same as the similarity ratio.
JKLM perimeter / ABCD perimeter = P/68 = 1/4
Multiplying by 68, we get ...
P = 68/4 = 17 . . . . inches
__
The ratio of areas is the square of the similarity ratio.
JKLM area / ABCD area = A/128 = (1/4)^2
Multiplying by 128, we get ...
A = 128/16 = 8 . . . . square inches
__
Perimeter = 17 inches
Area = 8 square inches