Check whether 6n can never end with the digit 2 for any natural number n

Answers

Answer 1

Answer: 6 x   2 =   12
6 x   7 =   42
6 x 12 =   72
6 x 17 = 102

For any 'n' equal to ( 2 + any multiple of 5), 6n ends with the digit '2' .

The conjecture appears to be pretty well shot.

Related Questions

Pablo drove 23.1 miles to his aunt’s house, then drove 19.24 miles to his friend’s house. Which estimate can Pablo use to determine the distance he drove altogether?
What is 9 hours and 40 minutes before 4:25
Carl drove to his grandmother’s house. He drove for 6 hours and averaged a speed of 55 miles per hour. At the end of 6 hours he still had 90 miles to go until he reached his grandmother’s house. What was the distance of his trip?
If rstu is a rhombus, then ___________________.
The solution of the equation is x= .

Find the value of x

Answers

Answer:

x = 3.5

Step-by-step explanation:

A box contains 15 cards. There are 5 red cards labeled 1, 2, 3, 4, and 5. There are 5 blue cards labeled 1, 2, 3, 4, and 5. There are 5 green cards labeled 1, 2, 3, 4, and 5. One card is drawn from the box.What is the probability that it is a blue card with an even number or a red card with an odd number?

A.1/3

B.1

C.2/5

D.6/225

Answers

The answer is (A) 1/3.

Should be A. 2 evenly numbered blue cards, plus 3 odd numbered red cards. Which makes 5/15, which then simplifies to 1/3.

ProblemThe formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

18 litres

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres

Is it possible for a composite number to have more then o e prime factorization ? and is it possible for a number to have no prime factorization

Answers

1. No, because every prime factor can not be prime factorized again. It could have more factorizations, but at least one of the factors would be a composite number which is the product of at least two of the prime factors.
2. Prime numbers and 1 do not have their prime factorization.

What are the pattern conbination between these number 18 48 88 128 178 38 68

Answers

18+30=48
48+40=88
88+40=128
128+50=178

Thats all i found so far in the pattern
30,40,40,50
then it drops
by 140 then adds by 30..

I dont know how else to explain it

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Answers

With the created probability distribution below, the answer to the question you have presented above would be .6. The probability that a worker chosen at random works at least 8 hours would be .6.

The probability that a worker chosen at random works at least 8 hours is 0.84

Data obtained from the question

Probability of 6 hours = 0.02
Probability of 7 hours = 0.11
Probability of 8 hours = 0.61
Probability of 9 hours = 0.15
Probability of 10 hours = 0.08
Probability ofatleast8hours=?

How to determine the probability of at least 8 hours

At least 8 hours simply means 8 hours and above

Thus, the probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) =0.84

Learn more about probability:

brainly.com/question/12844710

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Other Questions

Write a conjecture for the following situation - the product of three odd numbers.

betty is going to adopt puppies from a litter of 11. how many ways can she choose a group of 3 puppies?

Which is the equation of a line with the slope of -2 that passes through the point (-2,0)

Simplify showing all steps: