Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99
option b is the correct answer.
It is given in the question that
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation
To solve for C, we need to get rid of 273.15 and for that we do subtraction, that is
Correct option is the first option .
Step-by-step explanation:
We have two sets of elements, we will call them A and B. Let's remember what does each symbol represents:
We say that A ⊆ B (A is included in B) if every element of A is also an element of B.
We say that A ⊂ B (A is strictly included in B) if every element of A is also an element of B, but there is at least one element of B that's not an element of A.
If we look our sets, we can see that all the elements on the second set are included on the first one. But the olives are on the first set and not in the second one. Therefore, the symbol that can be placed in the blank is
⊃.
If we only can use ⊂ or ⊆, without changes, the answer would be neither.
Answer:
<u>The area of the hexagon is A. 96√3 cm²</u>
Step-by-step explanation:
Let's recall the formula of the area of an hexagon, this way:
Area = (3√3/2) * s²
Area = (3√3/2) * 8²
Area = (3√3/2) * 64
Area = 192√3/2
Area = 96√3 cm²
<u>The area of the hexagon is A. 96√3 cm²</u>
Answer:
(b, a)
Step-by-step explanation:
Example if D was (3, 2) and reflects across y = x, D' will be (2, 3)
