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ycow [4]
3 years ago
14

A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a ye

arly profit of $1,425,000 if successful, and a yearly loss of $475,000 otherwise. The probability of success is .5. If the second mall is selected, it is estimated that the yearly profit will be $950,000 if successful; otherwise, the annual loss will be $285,000. The probability of success at the second mall is .34
What is the expected profit for the second mall?
Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

134900

Step-by-step explanation:

In this case, we are only asked to have the account for the second shopping center, now we know that the data to take into account is if it is successful it would be 950,000 gains but if not, the losses will be 285,000. With the success rate it is 0.34, that is, the failure rate would be 1 - 0.34 = 0.66.

Then the gain of would be the weighted average of these values, like this:

G = 0.34 * 950000 + 0.66 * (- 285000)

G = 134,900

Approximately 134900

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2 years ago
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What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

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Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

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4 0
3 years ago
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Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

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Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

{}x         {}          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 {}                   7.5

12{}                    8

13                 8.5

14                  9

15                  9.5

16               10

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3 years ago
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Answer:

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Answer: Choice B

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