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)
6.549 million in 2014
i hope this helps.
Well the only right triangle with two similar sides is a special triangle called a 45 45 90. After the degrees of its shape
_
two sides are x and the other is x/2 _
so in this case the other angle would be 20/2 [20 root (2), its hard to draw roots on this site so I thought I would clarify that was what I was drawing]
Hope this helps, good luck.
2.25
Hope that helps you out
Answer:
3 and 1/3
Step-by-step explanation:
48 * (2 and 1/2)/ 36
48 * (5/2) / 36
120/36
60/18
30/9
10/3