Answer:
-4
Step-by-step explanation:
It would be more difficult to run up a slope of 5 because it would be steeper. with a 1/5 slope you would have a rise over run but with a slope of 5 it would just be all rise
Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
A^2=b^2+c^2-2bc Cos(A)
(270)^2=(255)^2+(442.85)^2-2(255)(442.85)Cos(A)
A=Cos^(-1)(270^2-255^2_(442.85)^2)/(-2*255*442.85)=33.5435
solve for angle A approximately is 33.54 degrees.
sinA/a=SinB/b
Sin33.54/270=SinB/255
B=Sin^(-1)(sin33.54/270*255)approximately is 31.45.
180-31.45-33.54=115.01 is Angle C.
The probability that a randomly selected student is in music/drama is 25%
<h3>How to determine the probability?</h3>
From the table, we have the following values
Music/Drama = 7 + 13 + 5 = 25
Total = (20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5) = 100
The probability is then calculated as:
P = Music/Drama / Total
So, we have:
P = 25/100
Express as percentage
P = 25%
Hence, the probability that a randomly selected student is in music/drama is 25%
Read more about probability at:
brainly.com/question/251701
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