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Aleksandr-060686 [28]
3 years ago
9

Twelve books cost $59.88 and

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

Yes there is, and it is 4.99.

Step-by-step explanation:

The constant of proportionality (let's call it \alpha) will relate the number of books bought N and their cost  C in the following way:

C={\alpha}N

\therefore \alpha =\frac{C}{N}

For the 12 books:

\alpha =\frac{59.88}{12} = 4.99.

And for the 21 books:

\alpha =\frac{104.79}{21} = 4.99.

The \alpha for the two purchases is the same, thus there is a constant of proportionality between the two purchases.

P.S: \alpha is the price per book.

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4 years ago
What happens to the mean of the data set shown below if the number 20 is added to the data set?
defon

Answer:

This shows that the mean increases by 2.95

Step-by-step explanation:

Assume the given data is 2, 5, 6, 8

Mean = 2 +5+6+8/4

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If number 20 is added, the data becomes 2, 5, 6, 8, 20

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<em>NB: The data used was assumed since we are not given any data in question</em>

<em></em>

4 0
3 years ago
**A rock dropped from a 100 foot tower.
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Answer:

2.83 s

Step-by-step explanation:

We are given that

h(t)=-16t^2+10t+100

When a rock reached the ground then h(t)=0

-16t^2+10t+100=0

16t^2-10t-100=0

Using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}

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Hence, the rock takes 2.83 sec to reach the ground.

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