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Semmy [17]
3 years ago
15

About 20 different comic books will be distributed to five kids. (a) How many ways are there to distribute the comic books if th

ere are no restrictions on how many go to each kid (other than the fact that all 20 will be given out)?
Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

5^20

Step-by-step explanation:

For each comic book, there are five different choices for which kid will receive that comic book. 20 decisions are made, one for each comic book with five different possibilities for each choice. The number of ways to distribute the comic books to the five kids is 5^20.

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What is the geometric mean of 8 and 2?​
Molodets [167]

9514 1404 393

Answer:

  4

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  √(8·2) = √16 = 4

The geometric mean of 8 and 2 is 4.

__

The geometric mean of n numbers is the n-th root of their product.

6 0
3 years ago
Determine whether the sequence converges or diverges. If it converges, give the limit.
vaieri [72.5K]

Answer:

The given series converges and \lim_{n \to \infty} a_n =0

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: \lim_{n \to \infty} a_n

\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0

Hence, \lim_{n \to \infty} a_n =0

7 0
3 years ago
Seventh grade
alexandr402 [8]

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

6 0
2 years ago
I.5y=2x-5<br> II.5y=4+3x<br> III.5y-3x=-1
Ratling [72]

Answer:

Step-by-step explanation:

the vale of x differs in each situation are we talking AB value

6 0
3 years ago
Please help tysmmm for your help guys number 16
evablogger [386]

Answer:

x = 6

Step-by-step explanation:

Hello!

x + 22 is equal to the sum of 5x - 6 and 4.

<h3>Solve for x</h3>
  • 5x - 6 + 4 = x + 22
  • 5x - 2 = x + 22
  • 4x - 2 = 22
  • 4x = 24
  • x = 6

The value of x is 6.

7 0
2 years ago
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