There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:
radians degrees
0 0
2π 360
π 180
π/2 90
π/4 45
and so on. Good luck!
Answer:
197+n = 429
Step-by-step explanation:
He starts with 197, he adds his salary, he ends with 429
197+n = 429
Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
The margin of error is:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use 
, which is when we are going to need the largest sample size.
Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
So
Rounding up
n = 1026.
If you're using a few larger intervals, then your histogram looks more stocky. If you imagine drawing one, it's because you're adding more values into the same category which can make the difference between two intervals much more noticeable. If you're using smaller intervals, however, you can much more accurately assess the difference between two different intervals. For that reason, the transition between one and another interval would look much more 'fluid'.
