Round 27.2847 to the nearest a. tenth and b. hundredth. SHOW YOUR WORK AND NO LINKS PLEASE, THANK YOU!
2 answers:
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Answer:
a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.
b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.
c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.
d) The expected number of owners who would say having a good plan is the most important advice is 2.28
Step-by-step explanation:
Questions a), b), c) are all solved as binomial distribution problems.
Question d) is a simple calculation.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
For these problems
12 business owners were contacted, so .
a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?
20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so .
That is P(X=0) when .
There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.
b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?
20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so .
This is:
So:
There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.
c. What is the probability that exactly five owners would say having good financing ready is the most important advice?
Twenty-five percent say the most important advice is to have good financing ready, so
There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.
d. What is the expected number of owners who would say having a good plan is the most important advice?
Nineteen percent say having a good plan is the most important advice, so that is
The expected number of owners who would say having a good plan is the most important advice is 2.28
Answer: look at the picture
Step-by-step explanation: Hope this help :D
There approximately 7133 books in the library;
Data;
- Let the number of total books = x
- Number of fictional books = 3/4x
To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.
Let the total number of books be represented by x
The number of fictional books = 3/4x
After 592 fictional books were donated;
Let collect like terms and solve
There approximately 7133 books in the library;
Learn more on word problems here;