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:
vertex: (1, -1)
x-intercepts: (2, 0) (0, 0)
y-intercept: (0, 0)
axis of symmetry: x=1
Step-by-step explanation:
tell me if any of these answers are wrong
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
- (d) (x² + y² + z²)³ = 27x²y²z²
Step-by-step explanation:
<u>Use the identity:</u>
- a³ + b³ + c³ = 3abc if a + b + c = 0
<u>Substitute as follows:</u>
<u>The sum of the cubes is:</u>
- x² + y² + z² = 3(xyz)
<u>Cube both sides:</u>
- (x² + y² + z²)³ = 27x²y²z²
Correct choice is (d)
<span>–1/2(2n + 4) + 6 = –9 + 4(2n + 1)
-n - 2 + 6 = - 9 + 8n + 4
-n + 4 = 8n -5
-n -8n = - 5 -4
-9n = -9
n = 1</span>