How many integers between 100 and 1000 have both 15 and 18 as factors?

1 answer:

4 0

The numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

<h3>What is an integer?</h3>

it is defined as the whole number it can be a negative whole number or a positive whole number for an example: 2, 4, 1, -8, 0, etc.

To find the how many integers between 100 and 1000 have both 15 and 18 as factors.

We must calculate the LCM of 15 and 18

The LCM for 15 and 18 is 90

Now the 90's multiple:

90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 1080

These numbers are factors of 15 and 18 also.

The number which lies between 100 and 1000 are:

180, 270, 360, 450, 540, 630, 720, 810, 900

Thus, the numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

Learn more about the integers here:

here:brainly.com/question/15276410

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You're playing a game when you defend your village from an orc invasion there are three characters elf hobbit or human and five

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The probability that you'll be a magic elf is $\frac{1}{15}$ or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.

The probability of choosing an elf, $P(A) = \frac{1}{3} .$

Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, $P(B) = \frac{1}{5} .$