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Evgesh-ka [11]
3 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]3 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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Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Check all that apply.
Maru [420]
<span><u><em>The correct answer is: </em></u>
RS is perpendicular to MN and PQ.

<u><em>Explanation</em></u><span><u><em>: </em></u>
We can use the slopes of these lines to determine the answer.
<u>Slope is given by the formula </u>
m=</span></span>\frac{y_{2}- y_{1}  }{ x_{2} - x_{1} }<span><span>.

<u>Using the coordinates for M and N, we have: </u>
m=</span></span>\frac{3--1}{3--3} = \frac{4}{6} = \frac{2}{3}<span><span>.

Since <u>PQ is parallel to MN</u>, its slope will be </span></span>\frac{2}{3}<span><span> as well, since parallel lines have the same slope.

<u>Using the coordinates for points T and V in the slope formula, we have </u>
m=</span></span>\frac{-4-1}{0--4} =- \frac{5}{4}<span><span>.

This is <u>not parallel to MN or PQ</u>, since the slopes are not the same.
We can also say that it <u>is not perpendicular to these lines</u>; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

<u>Using the coordinates for R and S in the slope formula, we have </u>
m=</span></span>\frac{-2-1}{2-0} =- \frac{3}{2}<span><span>. Comparing this to the slope of RS, it is <u>flipped and the sign is opposite</u>; they are negative reciprocals, so they are <u>perpendicular.</u></span></span>
7 0
3 years ago
Read 2 more answers
The sum of a number and 13 divided by 11
Katarina [22]

Answer:

it is  (x+n)  13 divded by 11 np your welcome


Step-by-step explanation:


8 0
3 years ago
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error:
lisabon 2012 [21]

Answer: 191

Step-by-step explanation:

Formula to find the minimum sample size required to estimate a population proportion or percentage:

n= \hat{p}(1-\hat{p})(\dfrac{z^*}{E})^2

, where \hat{p} = proportion estimated by prior study.

E= Margin of error.

z* = Critical z-value.

Given : Confidence level = 95%

Critical value for 95% confidence = z*=1.96

\hat{p}=\ 42\%=0.42

E= 7%= 0.07

Then, n= 0.42(1-0.42)(\dfrac{1.96}{0.07})^2

n= 0.42(0.58)(28)^2

n= 0.2436(784)=190.9824approx191

Hence, the minimum sample size required=191

6 0
3 years ago
You will get BRAINLIEST ANSWER IF YOU HELP ME OUT.<br><br> What is the value of x?
Elden [556K]

I was going to tell you the answer But what IS YOU WATCHING IN THE TOP LEFT CORNER GURRRRL


6 0
3 years ago
Translate: "The product of 8 and a number, b, is taken away from 24"
goblinko [34]
24-8b
24-(8*b)
i don’t know the exact way it is written on your test but it is something along those lines
7 0
3 years ago
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