Question
In: Advanced Math
1) How many positive integers are greater than 140, less than 30800 and relatively prime to...
1) How many positive integers are greater than 140, less than 30800 and relatively prime to 280.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
How many positive integers less than 1,000,000 have exactly one digit that is 7 and the...
How many positive integers less than 1,000,000 have exactly one
digit
that is 7 and the product of this digit (7) with the sum of
other digits is
between 50 and 65?
How many different positive integers less than 1000 have distinct digits and are even? My attempt:...
How many different positive integers less than 1000 have
distinct digits and are even?
My attempt:
since 1 digit numbers have the repeating 0 digit i started with
2 digit numbers.
xxx=
First digit: can only be 0
Second digit: can be any of 9 digits
Third digit: can't be 0 or the digit used in the tens column so
one of 4 numbers.
1*9*4= 36 ways
so 1 * 9 * 4= 36 ways
Now for the 3 digit...
Consider all positive integers less than 100. Find the number of integers divisible by 3 or...
Consider all positive integers less than 100. Find the number of
integers divisible by 3 or 5?
Consider strings formed from the 26 English letters. How many
strings are there of length 5?
How many ways are there to arrange the letters `a',`b', `c',
`d', and `e' such that `a' is not immediately followed by`e' (no
repeats since it is an arrangement)?
A prime number (or prime) is a natural number greater than 1 that has no posítive...
A prime number (or prime) is a natural number greater than 1
that has no posítive divisors other than 1 and itself. Write a
Python program which takes a set of positive numbers from the input
and returns the sum of the prime numbers in the given set. The
sequence will be ended with a negative number.
A prime number is an integer greater than 1 that is evenlydivisible by only 1...
A prime number is an integer greater than 1 that is evenly
divisible by only 1 and itself. For example, the number 5 is prime
because it can only be evenly divided by 1 and 5. The number 6,
however, is not prime because it can be divided by 1, 2, 3, and
6.Write a Boolean function named isPrime, which takes an integer
as an argument and returns true if the argument is a prime number,
and false otherwise. Demonstrate...
Let n greater than or equal to 2 and let k1,...,kn be positive integers. Recall that...
Let n greater than or equal to 2 and let k1,...,kn be
positive integers. Recall that Ck1,..., Ckn denote the cyclic
groups of order k1,...,kn. Prove by induction that their direct
product Ck1×Ck2×....×Ckn is cyclic if and only if the ki's are
pairwise coprime which means gcd(ki,kj)=1 for every i not equals j
in {1,...n}.
A prime number is an integer greater than 1 that is evenly divisible by only 1...
A prime number is an integer greater than 1 that is evenly
divisible by only 1 and itself. For example, 2, 3, 5, and 7 are
prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber
application that prompts the user for a number and then displays a
message indicating whether the number is prime or not. Hint: The %
operator can be used to determine if one number is evenly divisible
by another. Java
A prime number is an integer greater than 1 that is evenly divisible by only 1...
A prime number is an integer greater than 1 that is evenly
divisible by only 1 and itself. For example, 2, 3, 5, and 7 are
prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber
application that prompts the user for a number and then displays a
message indicating whether the number is prime or not. Hint: The %
operator can be used to determine if one number is evenly divisible
by another.
b) Modify the...
Let a,b be any relatively prime positive numbers. (The case b = 1 is allowed). We...
Let a,b be any relatively prime positive numbers. (The case b =
1 is allowed). We have the rational number a/b. Without appealing
to anything but Euclid’s lemma (no use of ε(p, m)) show that if p
is prime then p does not equal (a/b)^2. That is √p is irrational.
Hint: if p = (a/b)^2 then we have p(b^2) = a^2. Derive p|b and then
show p|a which is a contradiction.
1. How many employees accumulated less than 3,000 miles?
miles of frequent travelers (miles) / # employees
0 to
3
5
3 to
6
12
6 to
9
23
9 a
12
8
12 to
15
2
total
50
1. How many employees accumulated less than 3,000
miles?
2. convert the distribution into a cumulative
frequency frequency distribution.
3. represents the cumulative frequency distribution in
the form of cumulative frequency polygons
4. according to the polygon of cumulative frequency.
How many miles did 75% of employees accumulate?
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