Your table of values is so difficult to read that many of us helpers would just skip your post.
<span>x f(x) -6 2.5 -2 2.5 0 2 2 0 3 5 5 2.5 1 0.5</span> could be put into far clearer format as follows:
x f(x)
-- -----
-6 2.5
-2 2.5
and so on. Please fix it.
The "average rate of change" formula is
f(x2) - f(x1)
av r of c = ---------------
x2-x1
so if you go from (-6, 2.5) to (2.5, 10.5), the av r of c would be
10.5 - 2.5 9 18
------------------ = -------- = -----
2.5-(-6) 8.5 17
This may or may not be your final answer. Again, please put your data table into readable form and then find the av r of c over the interval [-2,3].
Answer:
A. 5
Step-by-step explanation:
Given:
Number of students who has a cat and a dog = 5
Number of students who has a cat but do not have a dog = 11
Number of students who has a dog but do not have a cat = 3
Number of students who neither have a cat nor a dog = 2
To find:
The probability that a student has a cat given that they do not have a dog.
Solution:
Let the following events:
A = Student has a cat
B = Do not have a dog
Total number of outcomes is:

The probability that a student has a cat but do not have a dog is:

The probability that a student do not have a dog is:


The conditional probability is:



Therefore, the probability that a student has a cat given that they do not have a dog is
.
Hi there!
Adjacent angles, or angles that are next to each other, add up to 180 degrees. They are supplementary.
Examples: 1 and 4, 3 and 4, 2 and 3, 1 and 1
Opposite angles, or angles that are opposite of each other, have the same measure.
Examples: 1 and 3, 2 and 4
I hope this helps!