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)
Answer:
The point moves four places to the right
Step-by-step explanation:
<---------------------------------------->
-7 -6 -5 -4 -3 -2 -1 0 1 2
A linear approximation to the error in volume can be written as
... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h
For V=(π/4)·d²·h, this is
... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h
Using ∆d = 0.05d and ∆h = 0.05h, this becomes
... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V
The nominal volume is
... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³
Then the maximum error in volume is
... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³
_____
Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.
Answer:
B. y > 2/3x + 1
Step-by-step explanation:
To find slope we'll use the following formula,
(-3,-1) (3,3)
3 - -1 = 4
3 - -3 = 6
2/3x
The y intercept is 1,
we know this because that's the point the line touches the y axis.
<em>Thus,</em>
<em>the answer is B</em><u><em>. y > 1/3x + 1</em></u><em>.</em>
<em>Hope this helps :)</em>
Answer:
The purpose of the the bar diagram is to show the difference between the heights of female and male giraffes, in other words, the bar diagram needs to be able to show how much one value is more or less than the other value.
The height of the males can reach 5.5 meters, and the females' height will only reach 4.3 meters, therefore, we can see that the height of the males are larger than the height of the females, so the equation to find the difference in the heights should be: 5.5 - d = 4.3 (or any other way around).
From that, we know that the height of the males is d meters more than the height of females or the height of the females is d meters less than the height of the males.
*hope this help you
