Answer:
c and d
Step-by-step explanation:
4/8 = 1/2
a.1/2 =1/2 so it is not greater
b.1/4 < 1/2 = 2/4 so 4/8 is greater
c.7/8 > 4/8 so 7/8 is greater
d.3/5 3/5 = 6/10 1/2 = 5/10
3/5 > 4/8
Answer:
0.02566
0.972559
Step-by-step explanation:
Given that :
Sample size (n) = 36
σ² = 6
sample variance S^2
a) greater than 9.1;
b) between 3.5 and 10.5.
The degree do freedom (df) = n - 1
S² > 9.1
P(S² > 9.1) = X² > ((n - 1) * S²) / 6
P(S² > 9.1) = ((36 - 1) * 9.1) / 6
P(S² > 9.1) = (35 * 9.1) / 6
P(S² > 9.1) = 53.083
P(X² > 53.08) = 0.02566 ( chi square distribution calculator)
b) between 3.5 and 10.5.
((36 - 1) * 3.5) / 6 ≤ S² ≤ ((36 - 1) * 10.5) / 6
20.416666 ≤ S² ≤ 61.25
Using the Chisquare distribution calculator :
P(X² > 20.42) = 0.9765
P(X² > 61.25) = 0.003941
Hence,
0.9765 - 0.003941 = 0.972559
Answer:
x = -5
Step-by-step explanation:
7 × 2 + 5 - x = 6 × 2 + 10
Multiply.
14 + 5 - x = 12 + 10.
Combine like terms.
19 - x = 24
Isolate x (I'm going to add x and subtract 24 from both sides to avoid changing signs)
-5 = x
Final answer
x = -5
they are supplementary angles
