Answer:
D. 135°
Step-by-step explanation:
Time is 1:30
The minute hand traveled half of full circle
The minute hand position is:
The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle
The hour hand position is:
the difference between the hands:
Choice D. 135° is the correct one
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)
The slope-intercept form: y = mx + b
m - a slope
y = 5x + 2/5
Answer: The slope m = 5.
The answer is C. y = - 2x - 1
hope that helps!! :)
