All categories

3 years ago

Why are all 4-digit Fredholl numbers composite?

1 answer:

6 0

Fredholl numbers are number, which have 2 different digits, equal number of each one, and zero cannot be the first digit. Some examples of fredholl numbers are: 355533 and 4141.
233233, 535351 or 055050 are not fredholl numbers.

In case of 4 digit numbers let's look at the possible forms of Fredholl numbers:

They have to be one of the following: xxyy, xyxy, xyyx
We can write above numbers as:
$xxyy= x*1100 + y*11 = x*11*100 + y*11 = 11 (100x+y) xyxy= x*1010 + y*101 = x*101*10 + y*101 = 101 (10x+y) xyyx=x*1001 + y*110 = x*11*91 + y*11*10 = 11 (91x+10y)$

All 4-digit Fredholl numbers are composite because they will be divisible by either 11 or 101.

You might be interested in

Mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 10 boxes less than n and ann sold

Lady bird [3.3K]

n = 11.

Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.

Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.

Together, they sold n-10+n-2=2n-12 boxes.

We know that they sold less than n boxes, so our inequality would be
2n-12<n.

To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.

Add 12 to both sides:
n-12+12<0+12; n<12.

This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.

If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box.

3 0

3 years ago

Read 2 more answers

Request edit access 2. 7x + 4 = -3 How to solve

Gre4nikov [31]

Answer:

x= -1

Step-by-step explanation:

7x+4= -3 take -4 off both sides> 7x= -7 now divide 7x/-7> x= -1

7 0

3 years ago

Write a polynomial function in factored form w zeros at -2,5,6

AlladinOne [14]

Answer:

Step-by-step explanation:

The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.

x = -2 comes from x+2

x = 5 comes from x-5

x = 6 comes from x-6

The factored form is (x+2)(x-5)(x-6).

7 0

3 years ago

The calculation of the mean of a population and the expected value of the probability mass function of a Random Variable (RV) ar

Zanzabum

Answer: Hello the options related to your question is missing attached below are the missing options.

A.) The probabilities of the RVs may be equal

B.) The sum of the probabilities of the RVs exceed 1

C.) This is an impossible occurrence

D.) The probabilities of the RVs must be equal

E.) None of the above

answer:

The probabilities of the RVs may be equal ( A )

Step-by-step explanation:

Given that the value of the population mean and the value of probability mass function of a set of random variables are similar

For the Random Variables : 100,200,300,400

The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4

Hence The probabilities of the RVs may be equal

3 0

3 years ago

What is the ratio of vowels to consonants

Rufina [12.5K]

What are the answer options?

6 0

3 years ago