The universe is the set of positive integers N. Let P(x) be the following proposition on x: P(x): (vn) (n prime ⇒ (n|x or n²> x)) (a) Without using words or symbols of negation, write the negation of P(x). (b) Decide if P(6) is true or not, explain. (c) Decide if P(9) is true or not, explain.

A long year-end status report for work is 157 pages long. You need to print 16 copies for a meeting next each. week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.28 Give your answer to the nearest cent, only for the paper you use (partial reams are OK) Question Help: Message instructor A'F2 @ Submit Question N Z w S alt X "F3 3 E W hs D 9*4 X $ с R 0 X F5 - % 5 V G F7 B & 8. 7 F8 A * 8 Z prt sc 10 home K me11 0 end F12

Determine whether the data described below is a quantitative of qualitative variable and explain why. The height of subjects in an experiment when testing a chemical. The data are qualitative because they consist of counts or measurements. The data are quantitative because they don't count nor measure anything. The data are qualitative because they don't count nor measure anything. The data are quantitative because they consist of counts or measurements.

Summarize two methods for determining the area of a trapezoid. How are these methods the same and how are they different in terms of what you had to think about when executing them? Your summary should be written in your own words. Be sure to explain it in a way that elementary students can understand and use examples. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I U Ꭶ Paragraph v Arial 응용 ≡ 三星 图 {} x² X₂ KA + 10pt »¶¶< T +] ABC ✓ Ev AV ¶T AV ΠΩΘ. Tx 田く x G ...

SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in the table below show different depths with the maximum dive times in minutes. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Depth in Feet (x) 50 60 70 80 90 100 x: 50, 60, 70, 80, 90, 100 y: 179, 166, 150, 138, 124, 110 Maximum Dive Time in Minutes (y) 179 166 150 138 124 110 1. Find the best fit line for the data. y = + x 2. Graph the scatter plot of the data together with the best fit line using R. (This portion of the problem is not graded.) 3. Predict the maximum dive time at a depth of 23 feet. Question Help: D Post to forum

How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.   Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (b) Would you say the correlation is low, moderate, or strong?  low moderate     strong Would you say the correlation is positive or negative?  positive negative     (c) Use a calculator to verify that          x = 67,           x2 = 1265,           y = 644,           y2 = 93,546,  and          xy = 10,544.  Compute r. (Round your answer to three decimal places.)  As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.  Given our value of r, y should…

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