∑x = 5 + 7 + 8 + 4 + 11 + 12 + 8 + 7 = 62
(∑x)^2 = 62^2 = 3,844
x bar = 62 / 8 = 7.75
∑x^2 = 25 + 49 + 64 + 16 + 121 + 144 + 64 + 49 = 522
∑y = 79 + 82 + 83 + 81+ 86 + 89 + 91 + 84 = 675
(∑y)^2 = 455,625
y bar = 675 / 8 = 84.375
∑y^2 = 6,241 + 6,724 + 6,889 + 6,561 + 7,396 + 7,921 + 8,281 + 7,056 = 57,069
∑xy = 395 + 574 + 664 + 324 + 946 + 1,068 + 728 + 588 = 5,287
r = (∑xy - n(x bar)(y bar)) / (sqrt(∑x^2 - n(x bar)^2) sqrt(∑y^2 - n(y bar)^2)) = (5,287 - 8(7.75)(84.375)) / (sqrt(522 - 8(7.75)^2) sqrt(57,069 - 8(84.375)^2)) = (5,287 - 5,231.25) / (sqrt(522 - 480.5) sqrt(57,069 - 56,953.125)) = 55.75 / (sqrt(41.5) sqrt(115.875)) = 55.75 / 69.3456 = 0.8039
Answer:
An <u>and inequality</u> contains compound restrictions, i.e., x must be less that 4 and greater than 1, while an <u>or inequality</u> contains multiple sets of separate restrictions, in which, only one must be fulfilled, i.e., x is greater than 5 or less than -3.
Hope it helps :)
Answer:
Option D. a^2+6ab-2ba
Step-by-step explanation:
Option D because we have like terms: 6ab and -2ba=-2ab, then
a^2+6ab-2ba=a^2+6ab-2ab
Simplifying on the right side of the equation adding like terms:
a^2+6ab-2ba=a^2+4ab
The outlier is the piece of data that does not fit the general data set. In this case, 46 is much higher than all of the other numbers. This is the outlier.
