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Bezzdna [24]
3 years ago
11

If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0
If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450 
1% = $5
100% = $5 x 100
100% = $500

The original price of the Play Station was $500.
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What is the total weight, w, of 5 bags of soil?
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I NEED THE ANSWERS FOR EACH PROBLEM
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Answer:

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3 years ago
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Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.2​, 0.3​, and 0.5​, respectively
svetlana [45]

Answer:

Expectation number of books a customer will​ purchase  =  1.3

Step-by-step explanation:

x     :​ 0      1              2

p(x) :0.2​,  0.3​, and 0.5​

Expectation

E(X) = ∑x P(x)

      = 0 X 0.2 +1 X 0.3+ 2 X 0.5

     = 1.3

Expectation  E(X) =  1.3

Expectation number of books a customer will​ purchase  =  1.3

3 0
3 years ago
Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?
nekit [7.7K]

Answer:

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of x has the smallest distance with respect to origin: (x_{2},y_{2}) = (0.18,0)

(ii) The smallest solution is the most negative value: (x_{1},y_{1}) = (-1.577,0)

Step-by-step explanation:

Let f(x) = g(x), f(x) = \ln (x+5)-1 and g(x) = x^{3}-2\cdot x + 1, then we have the following implicit equation:

\ln (x+5)-x^{3}+2\cdot x -2 = 0 (1)

This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:

Let suppose that we use this function h(x) = \ln (x+5) -x^{3}+2\cdot x - 2. By the help of a graphing tool, we find the smallest solution such that h(x) = 0. There are three possible solutions: (x_{1},y_{1}) = (-1.577,0), (x_{2},y_{2}) = (0.18,0), (x_{3}, y_{3}) = (1.376, 0)

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of x has the smallest distance with respect to origin: (x_{2},y_{2}) = (0.18,0)

(ii) The smallest solution is the most negative value: (x_{1},y_{1}) = (-1.577,0)

5 0
3 years ago
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