How many Gaussian integers have norm 3² . 52. 72 . 294? Try to count them without doing a lot of calculations.

Q: where did the 1.18 come in how did you get that

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Q: Find the index of 12Z in 3Z

A: The integers are

Q: Why we used k not n?

A: Here the use of letter k is only to avoid the confusion between statement and the proof.For example,…

Q: 2n hニ1 ちn-3

A: Divergence test: Let an be a sequence of real numbers. If limn→∞an≠0 then the series ∑n=1∞an…

Q: Suppose a sack contains 18 candies. There are Grey and yellow candies in the sack packed for a…

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Q: A Certain bacteria culture triples in a number every day. If there were 100 bacteria at the end of…

A: Let in general there are n0 bacteria after 1 day.  Then after second day, no of bacteria will be 3a0…

Q: Solve 271044 = ... (mod59)

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Q: 4x=22(mod10)

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Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: 37x = 101 (mod 151)

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Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

Q: How many variables are tested in a one way chi square?

A: How many variables are tested in a one way chi square?

Q: (32÷8)³ 13¹ 27 (2+2)3

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already…

A: Given that Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square.…

Q: Solve 371044 = ... (mod59)

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Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Given that  There are 10 cars. n=10 There are 8 parking rows. Each row contains 15 spots. r=8 The…

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: their A couple has 4 children that they need to get ready for school each day. They try to wake up…

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Q: n the calculator, we use the binompdf command only for which type of questions? Group of answer…

A: The binompdf function on your calculator is for finding the probability of exactly some number of…

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Write the following in terms of factorials. 1. number of arrangements in a row of 8 objects taken 6…

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Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

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Q: Give an example of a situation in which you might need to calculate 4!. Show all steps.

A: Solution: Factorial: It is defined as The factorial function (symbol: !) says to multiply all whole…

Q: A professor use chi-square test to examine the relationship between smoking and colon cancer. He…

A: Number of rows, a = 2 Number of columns, b = 2

Q: A strap is made up of 20 beads (4 yellow, 6 time, 3 red and 7 green. Calculate for all possible…

A: Given that there are 4 yellow beads  6 time beads 3 red beads  7 green beads We have to make a strap…

Q: Find the value of 7-15

A: Given that: 54+75

Q: Evaluate the expression 42 - d when d = 3.6 Ha

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Which of the following represents 28=7times 4

A: Which of the following represents 28=7times 4

Q: how that gcd(6451,737) = 1. Help me solve this question with step-by-step solution. Thank you in…

A: Topic = Algebra

Q: Write down the 7th row of Pascal's Triangle.

A: We have to find the 7th row of Pascal's Triangle

Q: Use (9.11) and (9.12) to simplify (ABTC)T, (С-1мс) -1, (АН) -"(АНА-1)"(НА-1) -1.

A: For (ABTC)T by using (9.11) we get (ABTC)T = CT(BT)TAT As (BT)T = B Hence (ABTC)T = CTBAT

Q: The functions g(b, c, d) and h(b, c, d) are defined as: g = (b+ c+ d')' + (b' + c' + d') · (b' . c'…

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Q: b) Find an integer x such that 37x = 1 (mod 101).

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.