Please help with discrete mathematics questions WDocument1 - Microsoft Word (Product Activation Failed)FileHomeInsertPage LayoutReferencesMailingsReviewViewa ?WAA Find -% Cut-=。三,年外TCalibri (Body) - 11A AAaAalAaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcLE CopyСopya ReplacePasteB I U -abe x, x AabAI NormalI No Spaci.. Heading 1Heading 2ChangeTitleSubtitleFormat PainterStyles - Select -ClipboardFontParagraphStylesEditingL• 2:1: 1:| 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18.3 In how many ways can you choose 6 chocolates from 10 different types if there are more than 6 of every typeexcept type 5, of whuch there 1s only one?4 How many strugs of length k of the letters {a, b, c} contan at least one occurrence of aa or db or c?5 How many ways can you choose a soccer team (11 players) from 20 grls and 12 boys if you must choose atleast two boys?ll02:41 PM2021-09-19Page: 1 of 1Words: 0B I E E E 90% e+14: I ·13· I ·12· I ·11· I •10• 1 •9•I •8 · I•7•I•6•l•5 · I·4•I•3•I•2· 1·1•I• •L•1:1•2 ]|

Since there are more than 6 of every type, except type 5, so consider the number of chocolates as…

Answered: 3 In how many ways can you chocose 6…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
Customer Preference Two movie theatres that show several different movies each night compete for the same audience. Of the people who attend theatre A one night, 10 will attend again the next night and 5 will attend Theatre B the next night. Of the people who attend Theatre B one night, 8 will attend again the next night and 6 will attend Theatre A the next night. Of the people who attend neither theatre one night, 3 will attend Theatre A the next night and 4 will attend Theatre B the next night. Find and interpret the steady state matrix for this situation.

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3 In how many ways can you chocose 6 cocolakes from 10 diferent types f there are more than 6 of every lype exoept type 5, of whuch there s oaly one? 4 How many strngs of length k of teleters (,6,c) coatan at least one occurence of as or dh or ac?