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MATH SOLVE
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lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have fourdifferent colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?461015
General
2 months ago
Explain why the Central Limit Theory/Law of Large Numbers usually does not work in the real world of most (possibly all) insurance coverages.
General
2 months ago
Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n - 1 b) f(n) = n2 + 1 c) f(n) = nº d) f(n) = [n/2]
General
2 months ago
A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a 40-hour work week. He plans to have two laborers at $10 per hour and six masons at $21 per hour. He'll need $3337 worth of materials and wishes to make a profit of $400. Write a mathematical statement that will give the estimated cost of the job. Then calculate this total.
General
2 months ago
Twin Primes (a) Let p > 3 be a prime. Prove that p is of the form 3k +1 or 3k – 1 for some integer k. (b) Twin primes are pairs of prime numbers p and q that have a difference of 2. Use part (a) to prove that 5 is the only prime number that takes part in two different twin prime pairs.
General
2 months ago
Lewis Carroll's puzzle in terms of axioms.Lewis Carroll Axiom 1. If a kitten loves fish, then it is teachableLewis Carroll Axiom 2. Every kitten without a tail will play with a gorillaLewis Carroll Axiom 3. All kittens with whiskers love fishLewis Carroll Axiom 4. If a kitten has green eyes, then it is not teachableLewis Carroll Axiom 5. All kittens have whiskers or do not have tails.Now, prove the following statements using only the axioms given above.Statement 7.11 If a kitten has a tail, then it does not have green eyes.Statement 7.10 If a kitten has green eyes, then it does not love fish.Please write the proof to justify the statement.
General
2 months ago
There is a group of 5 seniors and 8 first year graduate students to fill the openings of local news reporters. Suppose that we pick 4 students, who are randomly picked from this pool for interviews. Using this given information, calculate the following:1.) Find the probability that at least 2 first year graduate students are among the chosen group. Please note that this is a combinatorics problem and the answer can be left in terms of C k,n. Please show all work.
General
2 months ago
Chaz is a 79.2 pound dog that was just adopted. Based on his foster home his daily energy intake is 1,840 kcal. Chaz’s new owners would like to use a different brand of food that contains 3,523 kcal/kg of food and a cup of food weighs 100grams. how many cups should chaz be fed everyday?a) 4 and 3/4 cupsb) 6 cupsc) 5 and 1/4 cupsd) 3 and 1/2 cups
General
2 months ago
You are standing at a certain distance from a building that is 20 meters tall. The angle of elevation that the top of the building makes with your feet is 45°. If you walk 6 meters toward the building, the angle of elevation changes to BLANK°.
General
2 months ago
At the end of the first school day, Mr. Davies, a first grade teacher, inspected his classroom crayons. 2 of the 200 crayons were broken. What percent of the crayons were NOT broken?
General
2 months ago
A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Find the speed of the current if the speed of the boat is 11 mph in still water?
General
2 months ago
If f(x) = 9 + 3x, find f(-2).SubmitA- -24B- -3C- 3D- 4
General
2 months ago
At a certain time of day, a tree that is x meters tall casts a shadow that is x−14 meters long. If the distance from the top of the tree to the end of the shadow is x+4 meters, what is the height, x, of the tree?At a certain time of day, a tree that is x meters tall casts a shadow that is x−14 meters long. If the distance from the top of the tree to the end of the shadow is x+4 meters, what is the height, x, of the tree?
General
2 months ago
A recipe for pasta dough says, "Use 150 grams of flour per large egg." 1) How much flour is needed if 6 large eggs are used? Grams 2) How many eggs are needed if 450 grams of flour are used? Eggs
General
2 months ago
Consider the sequence -101, -91, -81, -71, ...Determine an explicit formula for the nth term of the sequence
General
2 months ago
Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket, how much did he have left out of $100 bill?
General
2 months ago
What type of system is the following set of equations?( -3x + y = -2 ( y - 4 = -6x A. consistent, independent B. consistent, dependent C. inconsistent D. independent
General
2 months ago
In Exercises 15 and 16, tell whether the triangle with the given sidelengths is a right triangle.15. 10 cm, 10 cm, V200 cm16. 9 in., 16 in., 25 in.
General
2 months ago
A test has twenty questions worth 100 points. The test consists of x true-false questions worth 4 points each and y multiple choice questions worth 8 points each. How many of each type of question are on the test?
General
2 months ago
I thought of a number, divided it by 1 1 2 , then added 2 1 2 to the result, then multiplied the sum by 1 2 3 . Then I subtracted 1 2 3 and got the result 2 5 6 . What was my number?
General
2 months ago
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