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Question: 1. Consider g : {0,9,8,7,6,5}→{4,3,2,1}. Is it possible for g to be one-to one? Onto?
2. Figure shows a 2×4 grid that has been tiled with four 1×2 rectangles.
(a) How many ways are there to tile a 2×1 grid with 1×2 rectangles? (The rectangles may be rotated so as to be 2×1 rectangles.)
(b) How many ways are there to tile a 2×2 grid with 1×2 rectangles?
(c) How many ways are there to tile a 2×3 grid with 1×2 rectangles?
(d) How many ways are there to tile a 2×4 grid with 1×2 rectangles?
(e) How many ways are there to tile a 2× n grid with 1× 2 rectangles? Make and prove a conjecture.
Deon is participating in a6-day cross-country biking challenge. He biked for 54, 51, 60, 48, and 52 miles on the first five days. How many miles does he need to bike on the last day so that his average (mean) is 54 miles per day?
Make the shape of the square.
(a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
Establish the relevance of data-driven decision making, preferably with examples from your own work experience. However, you may also quote examples from other organisations. The objective is to underline the importance of such style of decision m..
find the area of the parcel of land that is , the area under the curve y=x^3+1 over the interval 0 and 1 where x and y are in hundreds of feet. If the land in the parcel is appraised at RM12 per square feet, what is the total value of the parcel? ..
Create a frequency histogram using Excel. You will probably need to load the Data Analysis add-in within Excel. If you do not know how to create a histogram in Excel, view the video located at: http://www.youtube.com/watch?v=_gQUcRwDiik. A simple ..
Suppose that the number of tin cans recycled in a day at a recycling center is a random variable with an expected value of 50,000 and a variance of 10,000.
shipments of light bulbs are acceptable to a distributor if the mean life is at least 1000 hours. a random sample of 48
a person purchased some bags of insulation for $1000.if she had purchased 5 more bags for the same sum,they would have cost 12 cent less per bag.how many did she buy?
Find the function f ? g where f(x) = x/1+x and g(x) = sin(2x). What is the domain of f ? g
Which of the following is NOT included in The Web Accessibility Initiative?
Write an equation in slope-intercept form for the line that passes through (0,6) and is parallel to 4x+5y=6.
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