Answer:
A. p = $17.95n - $1,250.00
Step-by-step explanation:
Profit (p) = net revenue - expenditure
Net revenue = charge for transfer of n videos - expense for n blank DVD
charge per video transfer = $20.40
charge for n video transfer = $20.40 × n = $20.40n
expense per blank DVD = $2.45
expense for n blank DVD = $2.45 × n = $2.45n
Net revenue = $20.40n - $2.45n = $17.95n
expenditure = $1,250.00
Therefore, p = $17.95n - $1,250.00
We are to find the Probability the someone buys a book that is paperback and fiction.
Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)
P(F∩P) = P(F) x P(P)
From the tree diagram we can see that:
P(F) = 0.45
P(P) = 0.65
Using the values, we get:
P(F∩P) = 0.45 x 0.65 = 0.2925
So, the Probability the someone buys a book that is paperback and fiction is 0.2925.
So, option B gives the correct answer
The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x) .
Answer:
The distance between the two given complex numbers = 9
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i):</em></u>-
Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i
Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane
⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and
B = Z₂ = x₂+ i y₂ = 10 -9 i
Let (x₁ , y₁) = ( 9, -9)
(x₂, y₂) = (10, -9)
<u>Step(ii)</u>:-
<em>The distance between the two points are </em>
A B = 
A B = 
AB = 
<em> AB = √81 = 9</em>
<u><em>Conclusion:-</em></u>
The distance between the two given complex numbers = 9
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