Attached
Step-by-step explanation:
From the question x is the number of stools and y is the number of recliners
Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;
x+y≤ 50
Also, the owner wants at least 20 of the seats to be stools, this can be written as;
x≥20
Using a graph tool to visualize the inequalities, you get the attached graph;
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Inequalities graph : brainly.com/question/11234618
Keyword : graph, inequalities
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Answer:
Step-by-step explanation:
<u>1.SEPARATE THE VARIABLES AS X & Y IN NUMERATOR</u>
NOW,we can changes in the numerator variable ADDING THE POWERS THEN THE VARIABLES
Answer:
a.
b.
c.
d.
Step-by-step explanation:
The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.
So, the PMF of X is equal to:
Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:
For binomial distribution:
Therefore, the company can expect to win 0.3 bids and it is calculated as:
Additionally, the standard deviation of the number of bids won is:
Finally, the probability to won 1, 2 or 3 bids is equal to:
So, the expected profit for the company is equal to:
Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.