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.
Step-by-step Expression;
- Given; The function f(x) on the interval [ 5,15]
- To find the average rate of change of the function f(x)=?
x = 5 , y = 15,
I can't solve it anymore,please can you solving?
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:

Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.

If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
Answer:
D
Step-by-step explanation:
We put 2nd equation into 1st equation and get y:

We can't seem to come to a solution.
Also let's rearrange the 2nd equation into y = something form:
x = 7y + 1
7y = x - 1
y = 1/7 x -1
As we can see BOTH the lines have the same SLOPE, the number before x, which is 1/7 and we know that lines with same slope are parallel, they never intersect.
Having a solution to a system means their intersection point, since they are parallel lines, they don't intersect, and hence DO NOT HAVE A SOLUTION.
D is the correct choice.
Answer:
149.86 cm
Step-by-step explanation:
4 ft 11 in = 59 inches
2.54(59) = 149.86