The unsorted stem-and-leaf diagram would look like this:
5 | 6, 3, 5, 0, 2
3 | 2, 7, 3, 3, 4
2 | 6, 9, 1, 1
1 | 7, 1, 1, 6, 8
4 | 4, 2, 4, 3, 4
Basically, you separate the given set of numbers by their whole number part (the digit before the decimal) and list the numbers' fractional part (digit after the decimal) in the order you see them.
The sorted diagram would then be
1 | 1, 1, 6, 7, 8
2 | 1, 1, 6, 9
3 | 2, 3, 3, 4, 7
4 | 2, 3, 4, 4, 4
5 | 0, 2, 3, 5, 6
Jill ran faster. I know because I compared both of their unit rates.
Jack's unit rate is 5/42.5 = 0.118 mile per minute (rounded)
Jill's unit rate is 3/23.25 = 0.129 mile per minute (rounded)
Jill runs a greater part of a mile per minute than Jack does.
She is faster. There's no getting around it.
Supplementary angles always equal 180. Then you just solve from there.
7x+5x+24=180
12x+24=180
-24 -24
12x=156
/12 /12
X=12
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.
