Usually called "half of base times height", the area of a triangle is given by the formula below.Area=ba2whereb is the length of the base
a is the length of the corresponding altitude
You can choose any side to be the base. It need not be the one drawn at the bottom of the triangle. The altitude must be the one corresponding to the base you choose. The altitude is the line perpendicular to the selected base from the opposite vertex.
In the figure above, one side has been chosen as the base and its corresponding altitude is shown.
Answer:
A sample of 1077 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 of:

42% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So






Rounding up:
A sample of 1077 is required.
Answer:
The graph where the red point has a meaning is the graph C or third graph.
Step-by-step explanation:
As we can see the first and second graphs are irrelevant and have no relation between the x axis and y axis.
In graph A, the bird feeder graph is shown where the quart is a unit for liquids and pounds is a unit for solids. Thus, the red point cannot be defined.
Similarly, in graph B, height and team numbers are not related to each other in any way, so not clear meaning can be withdrawn here,
In graph C, the relation between cost of pictures and number of pictures are shown. We can very well understand here, that as the number of pictures increases, the cost increases.
So, the graph where the red point has a meaning is the graph C or third graph.
Answer: d) (3, 3)
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's.
Let's look at the points and find their inverse:
f(x) f⁻¹(x)
(0, -2) --> (-2, 0)
(1, -1) --> (-1, 1)
(2, 0) --> (0, 2)
(3, 3) --> (3, 3) f(x) = f⁻¹(x) so this is where they intersect!