Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error = 
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
The side MK measures 3.3 feet.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.
To determine the value of x, we determine the value of the cos of the given triangle.
To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

Step 2:
The length of the adjacent side = x feet.
The length of the hypotenuse = 3.6 feet.


So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.
You know that for the rule, you are at least adding one to “x.”