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Evgesh-ka [11]
2 years ago
15

A particular library has 58 visitors. When the visitors were asked how many books they read that year, 20 said they read one boo

k, 22 said they read three, and 16 said they read five. Assuming the visitors are telling the truth, what is the empirical probability that a visitor read five books? Write your answer as an exact fraction which is reduced as much as possible
Mathematics
1 answer:
irina1246 [14]2 years ago
7 0

Answer:

16/58 = 8/29

Step-by-step explanation:

p = number of required outcome/number of total out come

p = 16/58 ie number of people that read five book divided by total number of people

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Vlad1618 [11]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²---->  equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0
3 years ago
Solve the equation 58 - 10x ≤ 20 + 9x
drek231 [11]

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

58-10x\leq20+9x

Then, add 10x to both sides:

58-10x+10x\leq20+9x+10x\\58\leq20+19x

Next, subtract 20 from both sides:

58-20\leq20-20+19x\\38\leq19x

Finally, divide both sides by 19:

\frac{38}{19}\leq\frac{19x}{19}\\2\leq x

or

x\geq 2

Therefore: the answer to this inequality/equation is: x≥2

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natta225 [31]

Answer:

the answer for this question is

10-1.125=71/8 or 8.875

= 9

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Art [367]
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