Answer:
The minimum sample size required to construct a 95% confidence interval for the population mean is 65.
Step-by-step explanation:
We are given the following in the question:
Population standard deviation,

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.
Thus, the margin of error must me 0.75
Formula for margin of error:


Putting values, we get,

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.
The rectangle with maximum area will actually be a square.
Each side will be of length 7/4 = 1 3/4.
Answer:
Step-by-step explanation:
1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.
2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.
3. Next, form an equation using these variables.
x + 1.6x + (1.4 x 1.6x) = 121
x + 1.6x + 2.24x = 121
4.84x = 121
x = 25
4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.
<u>Antony</u>: x = 25 stamps
<u>Carl:</u> 1.6x = 40 stamps
<u>Emily</u>: 1.4 times 1.6x = 56 stamps
By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!
The answer is -8 (-8=2*-4)
Answer:
It is C, line KL has a slope of 0 and line MN is undefined and they're perpendicular
Step-by-step explanation: