Discrete Mathematics: Introduction to Mathematical Reasoning
1st Edition
ISBN: 9780495826170
Author: Susanna S. Epp
Publisher: Cengage Learning
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The table below shows the best price available for various items from 4 uniform suppliers. The prices do not include VAT
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Critics review films out of 5 based on three attributes: the story, the special effects and the acting. The ratings of four critics for a film are collected in the table below.CriticSpecialStory rating Effects rating Acting rating
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- Main/84589a48-b934-4b6e-a6e1-a5d75f559df9?transferToken=MxNewDS NGIFSFh5aZ5MQMzuGzB.. Critics review films out of 5 based on three attributes: the story, the special effects and the acting. The ratings of four critics for a film are collected in the table below. B Special Critic Critic 1 Story rating Effects rating Acting rating 4.4 4.3 4.5 Critic 2 4.1 4.2 3.9 Critic 3 3.9 4 3.4 Critic 4 4.2 4.1 4.2 44° X Critic 1 also gave the film a rating for the Director's ability. If the average of Critic 1's ratings was 4.3 what rating did they give to the Director's ability? 3.9 4.0 OOOO Esc 4.1 4.2 Q Search L 2 A AR F2 +4 % x Ö- 1+ FS F4 F5 F6 F7 F8 £ %5 14 96 T 27 F9 화요 4 * 8 F10 U F11 61 UTROGENA apid Cle 2-in-1 & Fade Toner TOCLEAR FADES The look of ENG 17:51 UK 25/01/2025 TYLITTLETHING DY MIST ONIKI ALM # 공☆ Home End F12 Insert Delete +11 K Parrow_forwardeminder to complete the Case X T Civil Service Numerical Test Sec X C T Casework Skills Practice Test x + euauthoring.panpowered.com/DeliveryWeb/Civil Service Main/84589a48-b934-4b6e-a6e1-a5d75f559df9?transferToken=MxNewOS NGIFSFH5aZSMQMzuGzB The table shows the value of the FTSE 100 share index over 6-month periods for 2 years. Month Value (£) January 2017 7,147 July 2017 7,455 January 2018 7,692 July 2018 7,668 January 2019 7,154 If the value of shares held in the FTSE 100 was £2,450 in July 2017, what would it be in July 2018? £2,478 £2,505 O O O O C £2,520 £2,553 £2,560 EN Q Search பல் L -☀- F5 0+ F6 C F8 27 8 화요 * 0 F10 E 61 F12arrow_forward(c) Suppose that all the pages are black and white, but each group of 25 con- secutive pages (1-25, 26-50, 51-75, 76-100, 101-125) must be assigned to the same printer. Each printer can be assigned 0, 25, 50, 75, 100, or 125 pages to print. How many ways are there for the 125 pages to be assigned to the five printers?arrow_forward
- 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.003.MI. Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x³ + 3 dx, u = x² + 3 Need Help? Read It Watch It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.006.MI. Evaluate the integral by making the given substitution. (Use C for the constant of integration.) | +8 sec² (1/x³) dx, u = 1/x7 Need Help? Read It Master It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.007.MI. Evaluate the indefinite integral. (Use C for the constant of integration.) √x27 sin(x28) dxarrow_forward53,85÷1,5=arrow_forwardQ9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This is a simplified version of the Bonferroni inequality.]arrow_forward
- Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 222 grams of protein and at least 162 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? (If an answer does not exist, enter DNE.)arrow_forwardQ6. Consider a situation where cars entering an intersection could turn right, turn left, or go straight. An experiment consists of observing two vehicles moving through the intersection. (a) How many sample points are there in the sample space? List them. (b) Assuming that all sample points are equally likely, what is the probability that at least one car turns left? (c) Again assuming equally likely sample points, what is the probability that at most one vehicle turns right?arrow_forward3. In the space below, describe in what ways the function f(x) = -2√x - 3 has been transformed from the basic function √x. The graph f(x) on the coordinate plane at right. (4 points) -4 -&- -3 -- -2 4 3- 2 1- 1 0 1 2 -N -1- -2- -3- -4- 3 ++ 4arrow_forward
- 2. Suppose the graph below left is the function f(x). In the space below, describe what transformations are occuring in the transformed function 3ƒ(-2x) + 1. The graph it on the coordinate plane below right. (4 points)arrow_forward1 1. Suppose we have the function f(x) = = and then we transform it by moving it four units to the right and six units down, reflecting it horizontally, and stretching vertically by 5 units. What will the formula of our new function g(x) be? (2 points) g(x) =arrow_forwardSuppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t represents the number of minutes since the spill was first observed. Radius (feet) 80 70 60 50 40 30 20 10 0 r 0 10 20 30 40 50 60 70 80 90 Time (minutes) (a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π. square feet (b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a function of the radius of the spill, r. Use a lower case k as the proportionality constant. C(r) = (c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to increase from 20 feet to 60 feet? r(60) - r(20) Or¹(80-30) r(80) - r(30) r-1(80) - r−1(30) r-1(60) - r¹(20)arrow_forward
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