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Kruka [31]
3 years ago
6

PLZ HELP 75 POINTS SHOW WORK

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0

Answer:

See in attachment and Mark as brainleist please.

Hope it helps

creativ13 [48]3 years ago
3 0

://us-static.z-11448242604gthis is answer

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In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? If the letters are not
meriva

Answer:

Question 1: 120 ways

Question 2: 216 ways

Question 3: 1/36 = 0.278

Explanation:

<u>Question 1: In how many ways can 3 letters be mailed in 6 mailboxes if each letter must be mailed in a different box? </u>

The first letter may be mailed in any of the 6 mailboxes: 6

The second letter may be mailed in any of the other 5 mailboxes: 5

The third letter may be mailed in any of the other 4 mailboxes: 4

According to the fundamental counting principle, the total number of possible outcomes is the product of the possible outcomes for each event.

Thus, the number of ways 3 letters can be mailed in 6 mailboxes, if each letter must be mailed in a different box is 6 × 5 × 4 = 120.

<u>Question 2: If the letters are not necessarily mailed in different boxes, how many ways are there of posting them? </u>

Again, you must use the fundamental counting principle.

This time, since the letters are not necessarily mailed in different boxes, each one can be mailed in 6 boxes, and the total number of ways 3 letters can be mailed is:

  • 6 × 6 × 6 = 216.

<u>Question 3. If the letters are mailed at random, and not necessarily in different boxes, what is the probability that all the letters are put in the same mailbox?​</u>

<u></u>

The probability that all the letters are put in the same mailbox is:

  • number of favorable outcomes / number of total possible outcomes

  • number of favorable outcomes: 6

        This is: the three letters are mailed in the first mailbox, or the three letters in the second mailbox, or the three letters in the third mailbox, or the three letters in the fourth mailbox, or the three letters in the fifth mailbox, or the three letters in the sixth mailbox: 6.

  • number of total possible outcomes: 216 calculated in the question number 2.

  • probability = 6 / 216 = 1/36 = 0.278
3 0
3 years ago
The inequality models all of the combinations of scores of 20 and 30 points that will give a total greater than 400 points in a
adoni [48]

Answer:

<h2>D. They will be negative numbers.</h2>

Step-by-step explanation:

If the inequality models scores of 20 and 30 points, then the values for variables x and y must be positive, because you can't score a negative number, you score or you don't that's it.

Therefore, the right answer is D. They will be negative numbers, because score can't be negative numbers.

4 0
3 years ago
A ball has a radius of 18 cm.
jok3333 [9.3K]
Hello there.
<span>
A ball has a radius of 18 cm.

What is the approximate volume of the ball?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
</span>
Answer: <span>24416.64</span>
4 0
2 years ago
Read 2 more answers
What power of 10 can you multiply 0.02 by to get a product of 20? Explain your answer.
viva [34]
10^1 = .2
10^2 = 2.0
10^3 = 20.0

So, the answer is 3.
7 0
3 years ago
Read 2 more answers
Simplify the following expression: 3m-5n+6m-8n
vichka [17]

3m - 5n + 6m - 8n \\ 3m + 6m - 5n - 8n \\ 9 m- 13n

5 0
2 years ago
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