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Scorpion4ik [409]

3 years ago

7

A quality-control manager randomly selects 80 bottles of oil that were filled on january 14 to assess the calibration of the fi

lling machine. what is the sample?

1 answer:

Simora [160]3 years ago

6 0

Is this all the information provided or are you missing something?

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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 that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

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

2 years ago

The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo

Nuetrik [128]

$31075 \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375$
The cost of fuel was £971.09

5 0

3 years ago

Divide 7/15 by 3/5. <br> A. 75/21<br> B. 7/9<br> C. 7/25<br> D. 21/75

Digiron [165]

In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
      = (7 * 5)/(15 * 3)
   = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
   = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.

5 0

3 years ago

Read 2 more answers

Which of the following items has the lowest unit price? 4 for $5.00 $1.22 each 6 for $7.44 3 for $3.60

aev [14]

3 for 3.60 the unit price come out to 1.20

3 0

2 years ago

An engineering student answered 58 questions correctly on a 100-question trigonometry test.

finlep [7]

If you are trying to find the percentage he received: 58/100

Total correct divided by total questions.

You get .58 or

58% by moving the decimal to spaces to the right.

6 0

3 years ago