Question: If n(A) = 12, n(A B) = 30, and n(A B) = 6, find n(B).

If n(A) = 12, n(A ∪ B) = 30, and n(A ∩ B) = 6, find n(B).

Step by Step Solution

★★★★★

3.42 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

nA 12 nAUB 3... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

If (n + 1)! = 30(n - 1)!, find n.

Q:

A lock has n buttons labeled 1, 2, . . . , n. To open this lock we press each of the n buttons exactly once. If no two or more buttons may be pressed simultaneously, then there are n\ ways to do...

Q:

(a) An integer N is to be selected at random from {1, 2, . . . , (10)3} in the sense that each integer has the same probability of being selected. What is the probability that N will be divisible by...

Q:

2. Create a vector diagram depicting the addition of the vectors = 12 m/s [N 30 E] and 78.0 m/s [W 15 S]. You do not need to calculate the resultant. Ensure your diagram includes the frame of...

Q:

a. 220 N c. 199.39 N 110 N d. 92.98 N An angler is reeling in a fish with a 60 N force. The line makes a 38 angle with the surface of the water. What portion of the force is being used to bring the...

Q:

\ffor 13. The second term of a geometric sequence is 28 and the fifth term is -224. Write a rule for an (4 points). in11. Find the value of x so that (x - 1), (x + 2), and 3x are three consecutive...

Q:

Please help solve 17 2)Determine the week 21 product mix that will maximize the profit, using the the forecast demand for product A in week 21, and the information provided in the Product Mix Model'...

Q:

Hello tutors, I'm a junior high school student from Philippines. I need a help on my MATH activities. Please help me, thank you. REFLECTION JOURNAL writeee a reflection journal all about - MEASURE OF...

Q:

md with well shown graphs.. explain your answers 4 Section B Answer one question. 2 (a) Explain, with the help of diagrams, how (i) constant and (ii) increasing opportunity costs determine the shape...

Q:

A solution that does not use and how to use explanation the built-in functions of the Ti-nspire cx II CAS calculator is never accepted as an answer! I don't need calculation formulas or calculations....

Q:

By considering different paths of approach, show that the following functions have no limit as (x,y) (0,0): (a) f(x, y)=- (b) f(x,y)= X x + y (c) f(x, y) = (d) f(x, y) = x-y x + y (c) f(x, y) = xy...

Q:

A plane, diving with constant speed at an angle of 53.0 with the vertical, releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00s after release. (a) What is the speed of...

Q:

You borrow \ ( \ $ 1 , 0 0 0 \ ) from Gougo's, a well - known loan consolidation outfit. The loan is an "unbelievably low" \ ( 2 . 0 \ % \ ) per month compounded monthly. You have 2 years to pay back...

Q:

4. Should the hospital already have a solution to its problems predetermined and only employ a consultant to verify their solution or should a consultant be employed in order to determine the optimum...

Q:

The following data represent the temperature T (Fahrenheit) in Kansas City, Missouri, x hours after midnight on March 18, 2018. (a) Draw a scatter plot of the data. Comment on the type of relation...

Q:

In Problems 2942, use transformations of the graph of y = x 4 or y = x 5 to graph each function. f (x) = x 4 + 2

Q:

In Problems 2942, use transformations of the graph of y = x 4 or y = x 5 to graph each function. f (x) = x 5 3

Q:

Please circle answers Ch 12: Assignment-Cash Flow Estimation and Risk Analysis 3. Analysis of an expansion project Companies invest in expansion projects with the expectation of increasing the...

Q:

a cash budget for the critical period around Christmas, when needs will be especially high. which is insignificant because Koehl keeps only a small amount on hand in order to lessen the chances of...

Q:

Given your understanding of cash flow, financial statements, ratio analysis and time value of money, provide an example of why the integration of these concepts would be important. Do not quote the...