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lianna [129]
2 years ago
10

Find a linear equation to model this real-world application:

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
3 0

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

y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

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Step-by-step explanation:

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Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked Mr. Bartley for the
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Answer: Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip.


Step-by-step explanation:

Given: Mr. Bartley is taking the theater club on a field trip [which must include bus or other vehicle] to see the musical wicked. The school treasurer asked Mr. Bartley for the group's total ticket cost.

He wrote the following cost function for the school treasurer.

Total Cost =52(25+2)

Since cost function is a function based on number of people and per head cost.

So, the statement which best describe the cost function is "Tickets cost $25 and each person must contribute $2 for the bus. There are 52 people going on the trip."


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The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receivi
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Answer:

0.8759 is the probability that no less than 4 of the entry forms will include an order.    

Step-by-step explanation:

We are given the following information:

We treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

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Now, we are given n = 14

We have to evaluate:

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(x = 2) - P(x = 3) \\= 1 - (\binom{14}{0}(0.4)^0(1-0.4)^{14} + \binom{14}{1}(0.4)^1(1-0.4)^{13} + \binom{14}{2}(0.4)^2(1-0.4)^{12} + \binom{14}{3}(0.4)^3(1-0.4)^{11})\\=1-(0.0007+0.0074+0.0317+0.0846)\\= 0.8756

0.8759 is the probability that no less than 4 of the entry forms will include an order.

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2 years ago
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