Answer:
B for the first one , and C for the second
Step-by-step explanation:
for the first question DEG which is 60, and GEF which is 120, would equal to 180 degrees, which would be DEF because its a linear pair.
For the second question the are alternate exterior angles, so the are opposite of each other and on the outside.
Answer:
Step-by-step explanation:
It's not c or d. It's not much but I hope it helps.
Answer:
slope = 0
y intercept = -5
Step-by-step explanation:
y= -5 is a horizontal line
horizontal lines have a slope of 0
it crosses the x axis at y=-5
Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is
From the question
a = 1 , b = 5 , c = 13
So we have
<u>Separate the solutions</u>
The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as
Hope this helps you
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
