Fred purchased a boat for $8,645. He made a down payment of $775. He applied for a six-year installment loan with an interest ra
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Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
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