Fill in the blank/s: The number of ways in which a series of successive things can occur is found by _________  the number of ways in which each thing can occur. This is called the _______ Principle.

Q: 100 How many solutions to the equation E Xx=3 k =1 have the property that each summand X, is a…

A: Number of solutions: The number of non-negative integer solutions to the equation are . Given:

Q: Geometry * K.8 Proofs involving corresponding parts of congruent Complete the proof that FK = HI. I

A:

Q: Fill in the blank: 263 is the th term of 5, 11, 17, 23, ... O 42 O 43 O 45

A: The given sequence is 5,11,17,23,... The above sequence is an arithmetic sequence with first term…

Q: Prove that for every natural number a there is a multiple of a consisting of only 1's and O's.

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Q: Write the null and alternative hypothesis of each number. The answer is already on the blanks for…

A: 1) The claim is that the vendors in the public market have less preference in using paper bags.

Q: utions of prime period two is that the inequality [(A+1) ((B1 + B3 + B5) – (B2 + B4)] [(a1 + a3 +…

A: Suppose there exist positive distinctive solution of prime period two                           . .…

Q: Discreate Mathematics Explain Steps Question: Derangement is a permutation of π ∈ Sn that has…

A: Please comment if you need any clarification. if you find my answer is useful please put thumbs up .…

Q: (ü) he reads exactly one of the papers (ii) he reads at least A 'and B if it is known that he reads…

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Q: Complete a semi-proof. Use the proper notation. .B Given: CD = AB; AD = CB Prove: AABC= ACDA a) name…

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Q: Prove or disprove. Let a, b, c ∈ Z. If a|c then ab|c

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Q: Assess if the equations are homogeneous, then find the solution to the following differential…

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Q: ferential ec an initial c

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Q: ) verity by induction the correctness of the solution of recusive equation for the ruming time of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A grant from an alumnus to a university specified that the university was to receive $800,000 during…

A: NOTE: Refresh your page if you can't see any equations. . the university was to receive $800,000…

Q: sequence otherwire. show that the Se

A: I have given an answer in step 2.

Q: 73. Manufacturing Furniture A furniture factory makes wooden tables, chairs, and armoires. Each…

A: Lets assume x represents the number of tables, y represents number of  chairs and z represents…

Q: At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population will triple every…

A: Given that: At 7 am, Number of bacteria  = 100The bacteria population triples every 6 years.

Q: In a P.I.D. an element is prime if and only if it is irreducible.

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Q: The current population of a certain bacteria is 2050 organisms. It is believed that bacteria's…

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Q: Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free…

A: Dear Student, According to Bartleyby guidelines,we can answer only 3 subpart. Please upload other…

Q: Assess if the equations are homogeneous, then find the solution to the following differential…

A: 1. Given differential equation: x3dx-y3dy=3xyydx-xdy we know that, a differential equation of type…

Q: A colony of bacteria is grown under ideal conditions in a laboratory. At the end of 4 hours, there…

A: Given: The growth of bacteria under ideal conditions in a laboratory. When t=4, then the population…

Q: Part I Proof in Propositional Logie Show that each of the fellowing arguments is valid by…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 3. 2019 Regents Question The formula for electrical power, P, is P=FR, where / is current and R is…

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Q: 5. (P15, Рage 203 ' ) Using Cauchy's Inequality V u, v E R, to prove that if a > 0 and b > 0, then…

A:

Q: Continuation of the question, I nee

A: d) In the given situation, p^ represents the proportion of non-vaccinated children. 75% children are…

Q: A child places n cubic building blocks in a row to form the base of a triangular design (see…

A: A child places n cubic building blocks in a row to form the base of a triangular design. To find the…

Q: A culture initially has 3,000 bacteria, and its size increases by 3% every hour. How many bacteria…

A:

Q: The rabbit population in a certain area is 500% of last year’s population. There are 300 rabbits…

A: Given that  The rabbit population in a certain area is 500% of last year’s population There are 300…

Q: At the start of overtime in a National Football League game, a coin is flipped to determine which…

A: A z-test for one proportion is a hypothesis test that attempts to make a claim about the population…

Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: Assess if the equations are homogeneous, then find the solution to the following differential…

A: Answer of the first question is square missing in the right side.

Q: There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel is…

A: SOLUTION-

Q: Mixing Coolant A truck radiator holds 5 gal and is filledwith water. A gallon of water is removed…

A: To find: The amount of water remains in the tank after the process repeated 3 times, 5 times, and n…

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A: Here we have to find the rate at which the distance between the two cars is changing.

Q: Rewrite the 2nd order ODE to 1st order ODE. O" = -0.

A: Introduction: A second order linear differential equation can be converted into first order…

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Q: Reduce a fraction show all work

A: Consider the provided fraction,

Q: . Doctoral Degrees Table 1.23 shows the number of doctoral degrees earned by Hispanic students for…

A: Given information: Given data represents the number of doctoral degrees earned by Hispanic students…

Q: Discrete Mathematics Explain Steps  If no two couples sit together, how many different ways may n…

A: We will use inclusisve exclusive principle to solve it.

Q: hose adds water to a pond at a constant rate. During a 45- nin period, the water level in the pond…

A: The ratio of two quantities of the same kind is the fraction that one quantity is of the other. In…

Q: A person accepts a position with a company at a salary of $27,000 for the first year. The person is…

A: Find for all years by adding 1700 per year

Q: ct of catnip on cats at the shelter. She recor jative interactions" each of 15 cats made in after…

A: a ) Sample Before After difference (d) (d-d̄)2 1 0 0 0 1 2 3 6 -3 4 3 3 4 -1 0 4 0 1…

Q: Algebra Find the value(s) of the vafiable(s) in each kite. 5. (5x-1)

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A: Here we need to check whether the given statement is true or false.

Q: One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three cuts…

A: (a) From the given information 5 cuts and 6 cuts The number of pieces formed is just one more than…

Q: Use mathematical induction to prove the inequality for the specified integer values of n ()** 1 and…

A:

Q: Assess if the equations are homogeneous, then find the solution to the following differential…

A: Use the method of substitution and then solve the differential equation.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.