It is 4 parts to it 3Students, You can use your calculator to get the permutations and combinations, but pleasewrite down and Cr so I know what you are calculating.A small combination lock on a suitcase has 3 wheels, each labeled with the 10 digitsfrom 0 to 9. How many 3 digit combinations are possible if all digits must be different?How many ways can a president, vice president, secretary, and treasurer be chosenfrom 14 people?How many ways can a 3-person subcommittee be selected from a committee of 9people? MikFrom a standard 52-card deck, how many 5 card hands will have 2 clubs and 3 hearts?

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There were some green and blue pens in a box. If 27 green pens were taken out of the box, there would be 1/3 as many blue pens as green pens. If 40 blue pens were added into the box, there would be 1/2 as many blue as green pens. How many pens were there in the box?
A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 104 g of gold and 89 g of lead? first alloy second alloy
A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The table available below gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Use the paired t-interval procedure to determine a 99% confidence interval for the difference between the mean heights of cross-fertilized and self-fertilized plants. Interpret the result. (Note: d=19.00 and sd=35.50.) The 99%confidence interval is from ____ eighths of an inch to_____ eighths of an inch. (Round to two decimal places as needed. Use ascending order.) Which statement below best interprets the confidence interval? A. There is 99%confidence that the difference between the…
Travis's carpet has an area of 180 square feet. He hires the CarpetPro carpet cleaning service, which is able to clean 9 square feet of his carpet every minute. Therefore, in the first minute, CarpetPro is able to clean 9 square feet of Travis's carpet (leaving 171 square feet remaining to be cleaned). In the second minute, the cleaner is again able to clean 9 square feet of carpet (leaving 162 square feet to be cleaned), etc. Which of the following functions expresses the number of square feet that still remain to be cleaned after t minutes from the time that the carpet cleaner began cleaning this carpet. A(t)=180−0.9t A(t)=180(0.1)t A(t)=180(0.9t) A(t)=180−9t A(t)=180−0.1t
Mr Chia purchased some colour files. 2/5 of them were red and the rest were blue. Mrs Lam bought 1/2 of the red and 1/3 of the blue ones from him. Mr Chia then found that he had 90 colour files left. How many colour files did Mrs Lam by altogether?
Meredith works at a blood bank. She needs to write a report of the ratio of type- a blood donated to tpye-o blood donated, but she lost this month's logs that had the quantities. She knows that last month 25 pints of tpye-a blood were donated and 42 pints of tpye-o blood were donated. She remebers that this month 55 pints of tpye-a blood were donated. if the ratio held true for this month, how can Meredith determine the amount of tpye-o blood donated
During COVID-19 pandemic, Armondo helped his community by making tacos to give to hospital personnel. Some tacos had pork filling and some had beef filling. He made a total of 600 tacos, and made 60 more beef tacos than pork tacos. How many of each type of taco did he make?

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