1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fomenos
3 years ago
9

The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the

probability that the proportion of books checked out in a sample of 478 books would be less than 13%? Round your answer to four decimal places.
Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

You might be interested in
What us 115,016 rounded to the nearest thousand
grigory [225]
It would be 115,000. You round down since 16 is closer to 115,000 than 116,000.
6 0
3 years ago
Read 2 more answers
Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok
lana66690 [7]

<em><u>The expression that describes the number of tickets won by Lily is:</u></em>

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

<em><u>Solution:</u></em>

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

b = 4.5 \times c

b = 4.5c

<em><u>Given that Lily won 8 more tokens than Louis</u></em>

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0
3 years ago
Which of these is an example of software?
MaRussiya [10]
A) windows, I learned this in a tech class I took
6 0
3 years ago
mix 2parts red with 3parts cream and 1part blue how much cream and blue paint do i need to mix with 4litres of red
vagabundo [1.1K]
The 4 litres of red has to be 2 parts of the mixture, so each part will be 2 litres. Therefore 3 parts of cream will be 6 litres and the one part of blue will be 2 litres.
7 0
3 years ago
Read 2 more answers
Can someone please help me and ill give you brainliest
Anna11 [10]

Answer:

H = 14.33 i think

Check in with me if it is wrong

3 0
3 years ago
Read 2 more answers
Other questions:
  • 246, 299, 360, 404, 379, 199, 279, 749, 794, 849, 914
    8·1 answer
  • Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
    9·1 answer
  • What is the quotient of 63 and a number is 9
    9·2 answers
  • Helppppp pleaseeeee willlll appreciateddddd
    13·1 answer
  • How do I factorise 2t^2 + 5t +2
    15·1 answer
  • How do you solve this?
    10·2 answers
  • Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a
    12·1 answer
  • Solve the inequality and express the answer in interval notation
    8·1 answer
  • Please please please help!!!!
    11·1 answer
  • Hala, Ahmed and Eman have 90 sweets. They decide to divide them in the ratio of their ages, which are 2 years, 7 years and 9 yea
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!