Answer:
78.46
Step-by-step explanation:
Given that
Pop. Standard deviation = 1.61
Sample standard deviation = 2.15
Sample mean = 7.47
Sample size = 45
Recall that
Test stat for chi square
= (n - 1) (sample standard dev/pop standard dev)^2
= 45 - 1 (2.15/1.61)^2
= 44(1.3354)^2
= 44 × 1.78329
= 78.46
The answer is b,a,c
the reason I know this is because the angle opposite to the largest side is the greatest angle, the angle across from the smallest side is the smallest angle
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
a number can be written a "x".
"minus" is a key word for subtraction.
"is" is a key word for =.
So if we put that all together, we have
x-3=5
To solve it, we have to add 3, to cancel it out, and add 3 to 5.
x-3=5
+3 +3
x=8
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hope it helps
