Answer:2.50
Step-by-step explanation:
Answer x=5, y= 3.5
Find y by plugging the x value into the 2nd equation
4(2y-2) -9=11
8y - 8 - 9 =11 combine like terms
8y = 28 divide both sides by 8
y = 3.5
Now find x
Plug your y value into first equation
X = 2(3.5) -2
X= 7-2
X=5
You can check your work by putting your x or y values into the equations
For the first equation
5=2(3.5) -2
5=5
For the second equation
4(5) -9 = 11
20 - 9 = 11
11 =11
Answer:
a vertical shift of 6 units up
Step-by-step explanation:
We have the transformation:
g(x) = f(x) + k
This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.
Here we can see that the graph of f(x) intersects the y-axis at y = -2
While the graph of g(x) intersects the y-axis at y = 4.
Then the distance between these two points is:
4 - (-2) = 6
This means that the graph of g(x) is 6 units above the graph of f(x)
Then we have that k must be equal to 6, then the transformation is:
g(x) = f(x) + 6
This is a vertical shift of 6 units up.
Answer:
0.375
Step-by-step explanation:
Given that F is the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.
It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and finance.
P(F) = 0.40: P(S) = 0.35: P(FS) = 0.15
A student is randomly selected, and it is found that the student is enrolled in finance.
Probability that this student is also enrolled in statistics/ student is enrolled in finance.
= ![\frac{P(FS)}{P(F)} \\=\frac{0.15}{0.40} \\=0.375](https://tex.z-dn.net/?f=%5Cfrac%7BP%28FS%29%7D%7BP%28F%29%7D%20%5C%5C%3D%5Cfrac%7B0.15%7D%7B0.40%7D%20%5C%5C%3D0.375)
(Using conditional probability formula)