2, sin( θ )=6/12=1/2 => theta=30 degrees.
=> triangle is 30-60-90
3.
Cos(45)=sqrt(2)/2
=> x=10*sqrt(2)/2=5sqrt(2)
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
Answer:
A sample size of 392 is required.
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:

18% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class.
This means that 
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.05. So






Rounding up:
A sample size of 392 is required.
Answer:
2530 has no units
Step-by-step explanation:
In order to understand the units from a linear equation we need to understand the general equation of a line which is:
y=mx+b where:
m=slope of the line
b=y-intercept.
Comparing the given equation with the general line equation, we noticed that 2530 represents the slope of the line.
Since the slope can be obtained by:
m=(y2-y1)/(x2-x1) whatever the units are, the slope is dimensionless, which means that 2530 has no units.
You can set up a ratio of side lengths as follows:

Now we just solve for x (by cross-multiplying):


So,
x = 75 units.