Find a linear equation to model this real-world application:
1 answer:
The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses
Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
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Answer:
When Mary raises the probability that she has a better hand is 0.273
Step-by-step explanation:
In the poker game it is given that the probability that Mary has a better hand than John is 0.04.
Let the event that Mary has a better hand than John be A.
Let the event that that Mary raises the stakes be B.
It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9
Therefore p(B | A) = 0.9
If Mary has a poorer hand she will raise with a probability of 0.1
Therefore p(B | A') = 0.1
Given that Mary raises the probability that she has a better hand is given by
p(A | B)
=
= 0.273
So when Mary raises the probability that she has a better hand is 0.273