
Concept explainers
In Exercises 43-48, construct a Venn diagram and determine the cardinality for each region. Use the completed Venn diagram to answer the questions.
A survey of 180 college men was taken to determine participation in various campus activities. Forty-three students were in fraternities, 52 participated in campus sports, and 35 participated in various campus tutorial programs. Thirteen students participated in fraternities and sports, 14 in sports and tutorial programs, and 12 in fraternities and tutorial programs. Five students participated in all three activities.
Of those surveyed,
a. How many participated in only campus sports?
b. How many participated in fraternities and sports, but not tutorial programs?
c. How many participated in fraternities or sports, but not tutorial programs?
d. How many participated in exactly one of these activities?
e. How many participated in at least two of these activities?
f. How many did not participate in any of the three activities?

Want to see the full answer?
Check out a sample textbook solution
Chapter 2 Solutions
MyLab Math with Pearson eText -- Access Card -- for Thinking Mathematically
- please find the answers for the yellows boxes using the information and the picture belowarrow_forwardConsider the function f(x) = x²-1. (a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative. Show all your steps clearly. (b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the graph where x 1 and x-> 1+h (for a small positive value of h, illustrate conceptually). Then, draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the value you found in part (a). (c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in the context of the graph of f(x). How does the rate of change of this function vary at different points?arrow_forward1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist, state that fact. и (a) f'(-5) (b) f'(-3) (c) f'(0) (d) f'(5) 2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5) = 4. - 3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2) and f'(2).arrow_forward
- A marketing agency wants to determine whether different advertising platforms generate significantly different levels of customer engagement. The agency measures the average number of daily clicks on ads for three platforms: Social Media, Search Engines, and Email Campaigns. The agency collects data on daily clicks for each platform over a 10-day period and wants to test whether there is a statistically significant difference in the mean number of daily clicks among these platforms. Conduct ANOVA test. You can provide your answer by inserting a text box and the answer must include: also please provide a step by on getting the answers in excel Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value.arrow_forwardA company found that the daily sales revenue of its flagship product follows a normal distribution with a mean of $4500 and a standard deviation of $450. The company defines a "high-sales day" that is, any day with sales exceeding $4800. please provide a step by step on how to get the answers Q: What percentage of days can the company expect to have "high-sales days" or sales greater than $4800? Q: What is the sales revenue threshold for the bottom 10% of days? (please note that 10% refers to the probability/area under bell curve towards the lower tail of bell curve) Provide answers in the yellow cellsarrow_forwardBusiness Discussarrow_forward
- Can you help explain what I did based on partial fractions decomposition?arrow_forwardFind the surface area of the regular pyramid. yd2arrow_forwardSuppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t) in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to t = 3. d(t) ds = ["v (s) da = { The displacement up to t = 3 is d(3)- meters.arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
