Answer:
If both computers are working together, it will take 24 minutes to do the job
Step-by-step explanation:
It is given that,
There are two computers.The slower computer can send all the company's email in 60 minutes.
The faster computer can complete the same job in 40 minutes
<u>To find the LCM of 40 and 60</u>
LCM (40, 60) = 120
<u>To find efficiency of 2 computers</u>
Let x be the efficiency of faster computer and y be the efficiency of faster computer
x = 120/40 = 3
y = 120/60 = 2
then, x + y = 3 + 2 = 5
Therefore efficiency of both the computer work together = x + y =5
<u>To find the time taken to work both the computer together</u>
time = 120/5 = 24 minutes
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so

we have
----> scale factor
substitute



therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter

the volume of the reduced sphere is
---> the radius is half the diameter

Divide the volumes

Answer:
All but last statement are correct.
Step-by-step explanation:
- <em>If we were to use a 90% confidence level, the confidence interval from the same data would produce an interval wider than the 95% confidence interval.</em>
True. Confidence interval gets wider as the confidence level decreases.
- <em>The sample proportion must lie in the 95% confidence interval. </em>
True. Confidence interval is constructed around sample mean.
- <em>There is a 95% chance that the 95% confidence interval actually contains the population proportion.</em>
True. Constructing 95%. confidence interval for a population proportion using a sample proportion from a random sample means the same as the above statement.
- <em>We don't know if the 95% confidence interval actually does or doesn't contain the population proportion</em>
True. There is 95% chance that confidence interval contains population proportion and 5% chance that it does not.
- <em>The population proportion must lie in the 95% confidence interval</em>
False. There is 95% chance that population proportion lies in the confidence interval.