A is the weight
B is the frequency
C is weight times frequency
D is mean minus weight
E is D raised to the 2nd power ; variance
F is E times frequency ; total variance
A B C D E F
65 1 65 7.97 63.47 63.47
68 2 136 4.97 24.70 49.40
69 5 345 3.97 15.76 78.80
70 8 560 2.97 8.82 70.57
71 7 497 1.97 3.88 27.17
72 3 216 0.97 0.94 2.82
90 2 180 17.03 290.02 580.04
95 <u> 2 </u> <u> 190 </u> 22.03 485.32 <u> 970.64</u>
30 2,189 1,842.91
2,189 / 30 = 72.97 mean
1,842.91 / 30 = 61.43 variance
√61.43 = 7.8377 or 7.84 standard deviation.
Answer:
Both lines are not parallel
Step-by-step explanation:
Given as :
Two lines equation are as :
3y - 5x = 9 And y = - x - 12
First line is now written in eq y = mx + c
Or, 3y = 5x + 9
Or, y = x +
So, Slop of this line ( m 1 ) =
slop of second line ( m 2) is
∵ The slop of both lines are not equal , so the line are not parallel to each other .
Hence Both lines are not parallel Answer
First of all, triangles angles add up to 180 degrees.
BCD=120. To find BCA subtract 180-120 to get 60 degrees.
We know what ABC is, it equals 85, so far we have 2 angles.
Lets add them up, 85+60=145
Since the angles must add up to equal 180 we're going to subtract 180-145
Which equals 35, BAC=35 degrees.
-Seth
Consider this option (see the attached picture). Note, that every domain of the function is marked by green.
If it is possible check this solution in other sources.