9514 1404 393
Answer:
25 feet
Step-by-step explanation:
The hypotenuse of the right triangle with legs 15 feet and 20 feet can be found using the Pythagorean theorem:
h^2 = 20^2 +15^2
h^2 = 400 +225 = 625
h = √625 = 25
The distance from the shadow tip to the flag pole tip is 25 feet.
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
Well twenty hundreds is equal to 2000 and eight tens is equal to 80. So, 2000x80=160000
Step-by-step explanation:
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