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)
Hello there!
We are going to follow the volume of a sphere since a volleyball is a sphere. V=4/3πr^3 is the formula for finding the volume of a sphere. The only unknown value is r, or the radius. We find the radius by halving the diameter.
8/2 = 4, so we have a radius of 4 inches.
Place the value of 4 in for r - V = 4/3 x π x (4)^3
Now solve.
V = 4/3 x π x (4)^3
Start by squaring 4.
V = 4/3 x π x 64
Next, multiply 4/3 by 64. (<em>you can do it in any order since there are no parenthesis</em>)
V = π x 85.33
Lastly, multiply 85.33 by pi.
V = 268.08
So, your answer is approximately 268.08, since we used rounding it is not exact. I hope this was helpful and have a great rest of your day! :)
Answer: $ 1,044.45
Step-by-step explanation:
18,990 ----- 100%
x ___ 5.5%
x= 18,990 * 5.5/100 =1,044.45
Answer:
Complete the statements.
When r = 2, the first expression is . 6
When r = 2, the second expression is 6.
When r = 5, the first expression is 21.
When r = 5, the second expression is .
The expressions are not equivalent. 12
Step-by-step explanation:
i got it right on e d g e n u i t y
Answer:
220
Step-by-step explanation:
1760 divided by 8 = 220.