If 2 cubic feet of sand weigh 90 pounds, how much do 5 cubic feet of sand weigh? what is the actual answer
2 answers:
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Answer:
a)
b)
And replacing we got:
c)
And adding we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Assuming the following questions:
a. exactly five
For this case we can use the probability mass function and we got:
b. at least one
For this case we want this probability:
And we can use the complement rule and we got:
And replacing we got:
c. between four and six, inclusive.
For this case we want this probability:
And adding we got:
Option A
The restaurant Manager can afford at most 10 employees for the day
<em><u>Solution:</u></em>
Given that restaurant manager can spend at most $600 a day for operating costs and payroll
It costs $100 each day to operate the bank and $50 dollars a day for each employee
The given inequality is:
Where , "x" is the number of employees per day
Let us solve the inequality for "x"
Add -100 on both sides of inequality
Divide by 50 on both sides of inequality
Hence the restaurant Manager can afford at most 10 employees for the day
Thus option A is correct