8. At a university with a total of 2,000 business majors, there are 500 business students enrolled in an accounting course. Of these 500 students, 200 are also enrolled in a statistics course. There are an additional 400 business students enrolled in statistics but not enrolled in accounting. If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, or both?

Q: 1. Find the distance between P and Q. P(−4, 12); Q(−12, 4)

A: Explained below

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

A:

Q: In this figure, the 2 squares are identical in size, the 4 small circles are identical in size, and…

A:

Q: Use DeMoirve's Theorem to find: (1– iv3)2

A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: 769° 45° C. a) What is the measure of <ADB?

A: We can find the measure of angle ADB as below

Q: The distance between a and b is lb -al.

A: Here, a=-0.5 &amp; b=3

Q: 6. Describe the reflection(s) that will carry the trapezoid onto itself. Write the equation of a…

A:

Q: In r dx 7.)

A:

Q: 3. Prove the pythagorean Theorem

A:

Q: flx). a/2)=6x+6.and hlx) -alA 88

A:

Q: find u ·v.

A:

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

A:

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

A:

Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

A: Function value

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.