Answer:

Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:

Hence, the smallest desired sample size is 23
Answer:
63
Step-by-step explanation:
Assume, instead of > there was a =
In that case, x ÷ 7 = 3, then x would be 21. But we want a value that will be exceed this 21. So the only option you have is 63.
the perimeter is 68.8cm
Ok so because this is a rectangle the line directly across (paralell) is equal, so if one line is 16cm, the line parallel to that will also be 16. Then the formula for area is LxW we'd plug in the numbers we know to get 294.4
=16 x W
then we divide 16 by both sides to make it even to get 18.4cm=W. Now we just plug everything in to the perimeter by doing 16 x 2 + 18.4 x 2 to get
Answer:
20 miles
Step-by-step explanation:
The formula for distance is
d =rt where r is the rate and t is the time
We need to convert the time to hours since the rate is in mph
15 minutes * 1 hour/ 60 minutes = 1/4 hour = .25 hours
d = (80 mph) * .25 hours
d = 20 miles