Determine the largest prime you need to consider to be sure that you have excluded, in the sieve of Eratosthenes, all primes less than or equal to the following numbers. a. 200 b.600 c. 1000 d. 1,000,000

Q: Look at the list of numbers below. V2 1.313233. V64 2 Which of the numbers in the list are…

A: Given numbers: First we shall understand what are irrational numbers. Irrational number are the…

Q: A. Convert each of the following fractions into decimal by making the denominator a power of 10. (10…

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Q: Thirteen is seven more than one-fifth of a number. O 13 = 7n + O 13 + = 7n O 13 = =n + 7 O 13 = 7 +n…

A: We can solve it using the properties of algebra as below

Q: How many combinations are possible with repeats for C(4,3) O 20 O 12 O 3 04

A: Given data ÷ Howmany combinations are possible with repeats for C(4,3) We can also write…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A: Given: A box with a square base and no top is to be made from a square piece of carboard by cutting…

Q: How many combinations are possible with repeats for C(5,2) O 12 O 15 20 O 10

A: In this question, we will use the formula for combination with repetition.

Q: How many 6-digit numbers are there where no three con- secutive digits are the same? (For values…

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Q: Under the standard rules for counting significant​ digits, which of the following numbers has the…

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Q: b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in…

A: We have given that  95% confidence interval then alpha=0.05 Margin of error=E=0.04 Zc=1.96 at…

Q: Determine whether the following are Mutually exclusive, Not mutually exclusive or cannot be…

A: 1) A person is watching TV and sleeping - Mutually exclusive 2) Getting a grade of 90 in Math and a…

Q: 1. Kevin is John's father. Kevin is 51 years old. Three years ago, Kevin was four times as old as…

A: John is 20 years old now.

Q: How many Significant digits are in the following? 1) 956044 6 2) 2.1390_5 3) 043900 3 4) 0.00500_3…

A: Given ,      8) 1.0700×10^-3       9) 7550.      10) 36070000      11) 120000       12)  5.457…

Q: How many permuations are possible without repeats for P(5,3) O 60 O 125

A:

Q: Continue the Sieve of Eratosthenes below through 152. Then list the prime numbers from 121 through…

A: 1. A natural number is called prime if it is completely divisible by self or 1 only ( except 1 which…

Q: Find the units digit for the sum of 13^25+4^81+5^411. Use Polya's 4 Step method.

A: Using Poyla’s 4 step method:   Step 1: Understand the problem:   Here the sum is given and we have…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in.…

A: A box with a square base and no top is to be made from a square piece of cardboard by cutting 6 in.…

Q: 17. How many significant figures are there in (a) 0.0000303 and (b) 6.201 x 10?

A: We have to find the significant figures in the given numbers.

Q: 2) express the given reapeating decimal as a fractional : 0.9999..., 0•159159159…, 0·782178217821… ,…

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Q: 1. How many different seating arrangements are possible if none of the students can sit beside each…

A: We will solve the following

Q: Estimate the following values by rewriting them as a šingle digit power of ten. 2) 2,479 3) 431,056…

A: Question- Estimate the following values by rewriting them as a single digit times a power of ten.

Q: If nCr = 65536 determine the value of n.

A: Four basic operations defined on numbers are addition, subtraction, multiplication, and division. If…

Q: 1 7 7 11 12 12 12 (Type a wholę number or a simplified fraction.)

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Q: (b) If n > 4 is composite, then n divides (n – 1)!. -

A: Question 6) (b) We have to show that if n>4 is composite, then n divides (n-1)!

Q: How many nilpotent elements are in Zn, where n 33547?

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Q: Q4: Consider the 5-digit can be formed using the digits 0-9 mbers, with distinct digits (no…

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Q: 3. Determine the nth term formula for the number of square tiles in the nth figures: a) 『国曲 a1 a2 az…

A: Consider

Q: Given In (4) =1.3863 and In(5) = 1.6094 find the following below. (Round to 3 decimals) In (20)

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Q: 1 (a) (i) How many 8-digit numbers can be formed with the digits 3,5 and 7? (ii) what fraction of…

A: Combination formula: The combination formula is used to determine the number of ways to pick items…

Q: For a population, N = 20,000, μ = 125, and σ = 25. Find to 2 decimal places the z value for for n =…

A:

Q: 2. For which odd primes p is 11 a

A: If p is a prime, then by Fermat's Little Theorem

Q: In a garden of fruit trees, 1/2 are Mango trees, 1/4 are Jackfruit trees, 1/6 are Rambutan trees.…

A:

Q: A population of N = 7000 has o = 30. In the following case, which formula (o -) will you use to or N…

A: Given, N=7000σ=30n=490 Here we use this formula σx=σnN-nN-1 because N is given.

Q: For which values of n does n! have n or fewer digits

A: Solution is as follows

Q: A humane society claims that less than 72% of households in a certain country own a pet. In a random…

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Q: Find all prime numbers pand of for which 2p²q + 45 pp ² = y² 2 де

A: Given:

Q: 2. A toy company sells 3-packs of sphere-shaped bouncy balls. If the company ships the three bouncy…

A: Finding the empty space in the given figure.

Q: 13. If all even numbers from 2 to 104 are added, what is the sum? O 1098 O 1568 2756 O4572 O5122

A:

Q: a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. n= 1537…

A: a) The following information has been provided: α=0.05, Error , E=0.025  Since the no estimate of…

Q: What is the value of the smallest composite number with exactly 3 distinct prime num- ber in its…

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Q: 5. (a) Find a formula for the number of square tiles in the figures below. n= 1 n= 2 n= 3 n= 4

A: To find a formula to determine the number of square tiles in the given figures.

Q: Find all values of primes p for which (¹¹) = 1 Р

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in.…

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A: Let x be the length of the one side of the cardboard, so the initial piece of cardboard is x by x.…

Q: n how many ways can a student work 6 out of 10 questions on an exam? 210 24 1,000,000 5040

A: In this question, concept of Combination is applied. Combination A combination is a mathematical…

Q: A population of N = 9000 has o = 30. In the following case, which formula (o, = ) will you use to…

A: The finite population correction factor is used when the sample is greater than the 5% of the…

Q: Decimals can be approximated by using only the leading nonzero digit or by rounding to the leading…

A: Answer : Approximate 0.0081 by using the leading nonzero digit = 8.1 × 10-3

Q: 3 The value of %3D O In(729) O In(18) O In(6) O In(216)

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Q: 5 Evaluate 0. 162 O 0.01024 O 0.0256 O 0.1012 O 0.4804

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.