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)
The correct answer for the completion exercise shown above is: sine.
Therefore, the complete text is shown below: "<span>In a right triangle, the sine of an angle can be found by dividing the length of the opposite leg by the length of the triangle's hypotenuse".
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A right triangle is a triangle that has an angle of 90 degrees.
The sine is one of the most common trigonometric functions. Therefore, you have that the sine of an angle is:
Sin(α)=opposite/hypotenuse
Answer:
the third option
Step-by-step explanation:
hope this helps! have a good day and stay safe!
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,
Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,
By substituting the values,
Hence, the area of the rectangle is increasing with the rate of 84 cm/s.
Answer:
1 AND 3 /// 4 AND 2
Step-by-step explanation:
vertical angles
