Answer:
C. m<CAB = m<C'A'B'
Step-by-step explanation:
Triangle ABC looks like it was only reflected over the line y = 0. If the triangle was only reflected then the triangles should be congruent to each other.
Answer:
B. Since P-value is greater than the significance level, we fail to reject the null hypothesis
Explanation:
Given Significance Level is 0.05 and the P-Value is 0.078
Since P-value greater than the significance level the best explanation is given by
Option B i.e.,
Since P-value is greater than the significance level, we fail to reject the null hypothesis
Answer:
1191.4 ; 34.5
Step-by-step explanation:
Given the data:
29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150
The sample variance and standard deviation can be obtained thus :
Σ(X - m)² / (n - 1)
Where, m = mean of the sample
n = sample size
The standard deviation equals, sqrt(variance )
Using a calculator:
The variance, σ² ;
Mean = Σx / n = 1681 / 20 = 84.05
(x -m)^2
[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19
22636.95 / 19
= 1191.4184 = 1191.42
Standard deviation = sqrt( Variance)
Standard deviation = sqrt(1191.4184)
Standard deviation = 34.516929 = 34.52
Answer:
C 117
Step-by-step explanation:
<2 = 63
<4 = <2 vertical angles
<4 + <7 = 180
63 + <7 = 180
subtract 63 from each side
<7 = 117
Answer:
0.000000014
Step-by-step explanation:
1.4 × 
= 
= 0.000000014
