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ANTONII [103]
3 years ago
14

I need help with this, I don’t get it can you tell me the answer?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
The value of x is 112
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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
3 years ago
Which is the sum of -4 and its additive inverse?
Aneli [31]

Answer:

-4 +4 =0

Step-by-step explanation:

The sum of a number and its' additive inverse is 0

The additive inverse of -4 is 4

-4 +4 =0

3 0
3 years ago
Read 2 more answers
The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
2 years ago
What is answer of the his questions show step<br><br>(8÷0.1+12×3)−2​
BARSIC [14]

Answer: I believe its 274

Step-by-step explanation: Divide 8 by 0.1 and add 12+1=13 then multiply 13 by 3 and subtract it

hope this helps

Chenn was here!

5 0
1 year ago
Read 2 more answers
Is 2 squared + 3 squared = 4 squared a true statement? Explain.
kramer

Answer:

It is not true it is false.

Step-by-step explanation:

since 2^2+3^2=4^2

4+9=16

13≠16

8 0
3 years ago
Read 2 more answers
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