
Concept explainers
a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is
Explain why this is so. (Ignore leap years and assume 365 days in a year)
b. If three people are selected at random, find the probability that they all have different birthdays.
c. If three people are selected at random, find the probability that at least two of them have the same birthday.
d. If 2d people are selected at random, find the probability that at least 2 of them have the same birthday.
e. How large a group is needed in give a 0.5 chance of at least two people having the same birthday?

Want to see the full answer?
Check out a sample textbook solution
Chapter 10 Solutions
EP PRECALCULUS-MYLABMATH+ETEXT ACCESS
- Evaluate the integral by using a substitution prior to integration by parts. 7) sin (In (6x)) dxarrow_forwardEvaluate the integral using any appropriate algebraic method or trigonometric identity. S- dy 18 √2 (1+y2/3) yarrow_forward4. Suppose the demand for a certain item is given by D(p)=-2 p² - 4p+350, where p represents the price of the item in dollars. a) Find the rate of change of demand with respect to price. b) Find and interpret the rate of change of demand when the price is $11.arrow_forward
- √3-x, x≤3, 2. For f(x) = 1 find each of the following. x > 3, x-3' 1. f(-6) 2. f(3) 3. f(7) 3. Find the domain of each of the following functions.arrow_forward1. Using the definition of the derivative, find f'(x). Then find f'(2), f'(0) and f'(3) when the derivative exists. a) f(x)=5x²-6x-1arrow_forward2. f(x)=√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit. 1. What is the cost function? 2. What is the revenue function? 3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting x denote the length of one side of the base,arrow_forward
- Solve using superposition principlearrow_forwardreview problems please help!arrow_forward3. f(7) 3. Find the domain of each of the following functions. 1 1. f(x)=2-6x+8 2. f(x)=√√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit.arrow_forward
- 7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x² - 2x t-√√3t+4 (c) lim t-0 4-t x²-6x+5 (d) lim (e) lim x 5 x-5 x→2 x²+2x+3 4u+1-3 (f) lim u➡2 u-2 1 (g) lim x-3 2 x 55 x - 7x4 +4 (h) lim xx 5x+2x-1 x+1 (i) lim x²-2x+5 - 7x8+4x7 +5xarrow_forward6. Given the following graph f(x). (-2,2) 2- -5 -3 -2 (-2,-1) -1 (0,1) -2- 1 (3,0) 2 3 4 5 (3,-1) א X Compute each of the following. (a) f(-2) (b) lim f(x) #129 (c) lim f(x) *→12+ (d) lim f(x) 811H (e) f(0) (f) lim f(x) 8011 (m) Is the function continuous at x = -2,0,3? Why or why not? (g) lim f(x) +0x (h) lim f(x) x 0 (i) f(3) (j) lim f(x) x-3- (k) lim f(x) x+3+ (1) lim f(x) #13arrow_forward3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting a denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box. 6. Given the following graph f(x).arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill




