Answer:
a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.
b) 45% probability that a student has taken some calculus.
c) 87% probability that a student has taken no more than one semester of calculus.
Step-by-step explanation:
We have these following probabilities:
A 55% that a student hast never taken a Calculus course.
A 32% probability that a student has taken one semester of a Calculus course.
A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.
a) two or more semesters of Calculus?
There is a 13% probability that a student has taken 2 or more semesters of Calculus.
b) some Calculus?
At least one semester.
So there is a 32+13 = 45% probability that a student has taken some calculus.
c) no more than one semester of Calculus?
At most one semester.
So 55+32 = 87% probability that a student has taken no more than one semester of calculus.
Answer:
A) reflection across the y-axis
Step-by-step explanation:
If
, then this says that two
-coordinates are equal for opposite values of
.
Let
a point on
.
Then
.
We also know that
and therefore
is also a point on the graph.
If you graph [/tex](-a,b)[/tex] and
you will see they are symmetrical to each about the
-axis.
Example if given both
and
, then
. This means both (2,3) and (-2,3) are points on the graph.
Here is what those two points look like on a Cartesian Plane (please see graph in picture).
You can't find the exact value of y, but you can find y in terms of x!
Adding 3y and subtracting 8 from both sides, we have:
2x-3y+3y-8=8+3y-8
2x-8=3y
Dividing by 3, we see that y=(2x-8)/3. This is the simplest form we can find for y.
Answer:
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