Answer:
V =150.8 in ^3
Step-by-step explanation:
V=πr^2h
V = pi * (2^2) * 12
V =3.14159 * 4*12
V =150.7964474 in^3
to the nearest tenth
V =150.8 in ^3
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 direction of the difference between the 2 measurements.
<h3>What is nominal and ordinal scale with example?</h3>
- Examples of data for a nominal scale include a person's gender, ethnicity, and hair color.
- On the other hand, an ordinal scale requires putting data in a certain order, or in relation to one another and "ranking" each parameter (variable).
<h3>What is the difference nominal and ordinal?</h3>
- Ordinal data has a preset or natural order, whereas nominal data is categorized without a natural order or rank.
- A number that can be measured, however, will always be present in numerical or quantitative data.
<h3>What is an example of a ordinal scale?</h3>
- First place would go to a student with a score of 99 out of 100; third place would go to a student with a score of 92 out of 100; and so on.
Learn more about ordinal scale and nominal scale here:
brainly.com/question/15998581
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Answer:

Step-by-step explanation:
The
-intercept of a line is the
value when
. In the equation
, we can solve for its equation when we plug in
.
Solving for
when
:
.
So the
-intercept of the equation
is
.
To find what equation has the same
-intercept, we can do the same process for each equations given by the choices. However, I can see that the equation,
, has the
-intercept. If in doubt, you can check for the solution below or solve each equations for yourself.
Solving for
when
:

9514 1404 393
Answer:
Step-by-step explanation:
The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.