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sesenic [268]
3 years ago
11

Homer and bart plan to buy one computer for 499.00 strictly for gaming purposes. Games cost 49.99 each. define each variable and

write an algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games
Mathematics
2 answers:
erik [133]3 years ago
5 0
T=499.00+49.99g T is total cost g is number of games
BARSIC [14]3 years ago
3 0

Answer:

The algebraic expression is y=499.00+49.99x where <em>x</em> is the number of games they bought and <em>y</em> be the total cost.

Step-by-step explanation:

Consider the provided information.

The cost price of computer is 499.00

Let <em>x</em> is the number of games they bought and <em>y</em> be the total cost (before sales tax).

The cost of each game is 49.99. If they bought <em>x</em> games, then the total cost will be:

y=499.00+49.99x

Therefore, the algebraic expression is y=499.00+49.99x where <em>x</em> is the number of games they bought and <em>y</em> be the total cost.

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A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
3 years ago
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