Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident,
.
Therefore we look for the critical value
.
Then we calculate the variance:

And we have that:

<u>Now</u> we replace in the formula with the values we've just obtained:

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.
Answer: 
which will be 1096 in base 10
Step-by-step explanation:
in expanded form to base 10 will be :

which will be

⇒1080+0+12+4
= 1096
Answer:
The factors for 27 are 1,27,3,9
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
2(10-3) distribute = 2*10 is 20 and 2*3 is 6
20-6+(5-14/2)
now 20-6 is 14
14+(5-14/2)
now 14/2 is 7
14+(5-7)
now 5-7 is -2
14+-2
is 12
the answer is 12
but if you want to you can do 12/3 to get the greatest common factor
which is 4
hope i help you :P