Answer:
3.74
Step-by-step explanation:
The standard deviation for this question is 3.74. I found this by going to an online graphing calculator, I use GeoGebra Graphing Calculator and insert the numbers. Before you type them though, you have to put SD (this stands for standard deviation, and yes it MUST be capitalized.) Then insert the points into a set of parentheses and press enter. Like so:
SD(42, 54, 50, 42, 46, 46, 48, 48) = 3.74165
Usually, your instructor will only want you to round two decimal places so the rest of the deviation is not needed or important unless you have to round up.
I hope this helped. :)
Answer:
- 
Step-by-step explanation:
Given 630 < A > 720 then A is in the fourth quadrant where
cosA > 0 and sinA < 0
Given
cosA = 
= 
Then the triangle is a 3- 4 - 5 with opposite side 4, thus
sinA = - 
= - 
Using the trigonometric identity
sin2A = 2sinAcosA
= 2 × - ×
= 
= -
I think it is A. not sure though
Step-by-step explanation:
w(2w - 30) = 5400
2w²- 30w = 5400
2w² - 30w - 5400 = 0
(w - 60 ) ( w + 45 ) = 0
w= 60 w= - 45
only take the positive value
therefore w = 60
Answer:
k = 13
Step-by-step explanation:
Matrix is;
A =
[2 -5 9]
[-1 3 -5]
[ 7 1 k ]
Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.
Thus, we have;
2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0
Simplifying further gives;
2(3k +5) + 5(-k + 35) + 9(-22) = 0
6k + 10 - 5k + 175 - 198 = 0
k - 198 + 185 = 0
k - 13 = 0
k = 13
