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Debora [2.8K]
4 years ago
8

Which of the following is an example of theoretical probability?

Mathematics
2 answers:
Luden [163]4 years ago
8 0
I think A is the answer I might be wrong tho 
finlep [7]4 years ago
5 0

Answer:

Option A and D are correct Option.

Step-by-step explanation:

Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.

that is Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}

Option A:

Number of favorable outcome = 4

Total number of outcome = 52

Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{4}{52}

Thus, This is an example of Theoretical Probability.

Option B:

Number of favorable outcome = ^9C_4\times3^4\times3^5=2480058

Total number of outcome = 6^9=10077696

Thus, This is not an example of Theoretical Probability.

Option C:

Number of favorable outcome = ^5C_4=5

Total number of outcome = 2^5=32

Thus, This is not an example of Theoretical Probability.

Option D:

Number of favorable outcome = 45

Total number of outcome = 73

Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{45}{73}

Thus, This is an example of Theoretical Probability.

Therefore, Option A and D are correct Option.

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A manufacturer has been selling 1000 flat-screen TVs a week at $500 each. A market survey indicates that for A manufacturer has
luda_lava [24]

Answer:

a) Demand function: q=6000-10\cdot p

b) The rebate should be of $200, so the sale price becomes $300 per unit.

c) The rebate should be of $150, so the sale price becomes $350 per unit.

Step-by-step explanation:

a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).

We can express the demand function (linear) as:

q=b+m\cdot p

To calculate the slope m, we use:

m=\Delta q/\Delta p=(+100)/(-10)=-10

To calculate b, we use the known point and the calculated slope:

q=b+m\cdot p\\\\b=q-m\cdot p=1000-(-10)\cdot (500)=1000+5000=6000

Then the demand function is:

q=6000-10\cdot p

b) The revenue can be expressed as:

R=q\cdot p = (6000-10p)\cdot p=6000p-10p^2

To maximize, we can derive and equal to zero

dR/dp=6000-2*10p=0\\\\20p=6000\\\\p=300

The rebate should be of $200, so the sale price becomes $300 per unit.

c) If we take into account the cost, we have that

R=q\cdot p-C=(6000p-10p^2)-(68000+100q)\\\\R=(6000p-10p^2)-(68000+100(6000-10p))\\\\R=6000p-10p^2-(68000+600000-1000p)\\\\R=-10p^2+7000p-668000

To maximize, we can derive and equal to zero

dR/dp=-20p+7000=0\\\\p=7000/20=350

The rebate should be of $150, so the sale price becomes $350 per unit.

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3 years ago
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strojnjashka [21]

Answer:

Slope:  2

Step-by-step explanation:

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katrin2010 [14]
A
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E
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B should be the obvious no-no
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3 years ago
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