Answer: u= ( 4342.08, 5145.92).
Step-by-step explanation: the population mean is estimated using the sample by the formulae assuming a 95% confidence level
u = x' + Zα/2 * (√σ/n) or x' - Zα/2 * (√σ/n)
u = estimated population mean
x' = sample mean = 4744
n = sample size =8
σ = sample standard deviation. = 580
α = level of significance = 1- confidence level = 1-0.95= 0.05
Zα/2 = z score from the normal distribution table for a 2 tailed test = 1.96
First boundary value for interval
u = 4744 + 1.96 ( 580/√8)
u = 4744 + 1.96 * (205.0609)
u = 4744 + 401.92
u = 5145.92
Second boundary value for interval
u = 4744 - 1.96 ( 580/√8)
u = 4744 - 1.96 * (205.0609)
u = 4744 - 401.92
u = 4342.08
Thus the confidence interval for population mean is
u= ( 4342.08, 5145.92).
Answer:
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Answer:
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Step-by-step explanation:
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The larger triangle ABC is similar to the smaller triangles as follows.
Triangle ABC ~ triangle DBA by AA similarity because they share angle B and angles A and D are right angles.
Triangle ABC ~ triangle DAC by AA similarity because they share angle C and angles A and D are right angles.
So you can set up the following proportions, seeing that the answers are involving either AC^2 or AB^2.
AB/BD = BC/AB When you cross multiply, you get AB^2 = BC times BD, which is the first answer listed.
Using the other proportion, AC/CD = BC/AC, when you cross multiply, you get AC^2 = BC times CD, which is not one of the answers listed.