∑x = 1 + 2 + 3 + 4 + 5 + 6 = 21
∑y = 8 + 3 + 0 + 1 + 2 + 1 = 15
∑x^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
∑y^2 = 64 + 9 + 0 + 1 + 4 + 1 = 79
∑xy = 8 + 6 + 0 + 4 + 10 + 6 = 34
r
= (n∑xy - ∑x∑y)/(sqrt(n∑x^2 - (∑x)^2)*sqrt(n∑y^2 - (∑y)^2)) = (6(34) -
21(15))/(sqrt(6(91) - (21)^2)*sqrt(6(79) - (15)^2)) = (204 -
315)/(sqrt(546 - 441)*sqrt(474 - 225)) = -111/(sqrt(105)*sqrt(249)) =
-111/(10.25*15.78) = -111/161.7 = -0.68
Answer:
A = 1249.5 mm²
Step-by-step explanation:
Total area is sum of area of two trapezoids
A = 13(½(28 + 35)) + 28(½(25 + 35))
A = 409.5 + 840
A = 1249.5 mm²
Answer:
About 48 members would be expected to say that dues be raised
Step-by-step explanation:
Here, we shall be using a case of a representative sampling to determine the actual.
Out of the 100 selected members, 6 said the dues should be raised;
This represents a percentage of 6/100 = 6%
So out of the 800, the expected number of members that would ask for a dues raising will be;
6/100 * 800 = 48
Answer:
i think the answers 5
Step-by-step explanation:
Answer:
(x-2)(3x²-4 )
Step-by-step explanation:
- First, you <u>multiply 3x and 8</u> to equal 24x²
- Then, you find the variables that equal -10x (-2x, and -12x)
- then <u>replace the -10x with the two variables you found</u> (3x²-2x-12x+8)
- Sperate the variable (3x²-2x) and (-12x+8)
- Find the <u>GCF</u> of both x(3x-2) and -4(3x-2) (the binomial in the parentheses MUST BE THE SAME
- Replace one of the parentheses with x-4
- Answer: (x-2) (3x-4)