the probability that a student has a Visa card (event V) is .65 The probability that a student has a mastercard (event M) is .20
1 answer:
The probability that a student has either a vise card or a master card is: 0.72
Step-by-step explanation:
Given that
Probability that a student has a vise card = P(V) = 0.65
Probability that a student has a master card = P(M) = 0.20
Probability that a student has both = P(V∩M) = 0.13
We have to find the probability of V OR M
The probability is given by:
Putting the values,
Hence,
The probability that a student has either a vise card or a master card is: 0.72
Keywords: Probability, Events
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Answer:
The dimensions of the box that minimize the materials used is
Step-by-step explanation:
Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.
To find : The dimensions of the box that minimize the materials used ?
Solution :
An open top box is to be built with a rectangular base whose length is twice its width.
Here, width = w
Length = 2w
Height = h
The volume of the box V=36 ft³
i.e.
The equation form when top is open,
Substitute the value of h,
Derivate w.r.t 'w',
For critical point put it to zero,
Derivate the function again w.r.t 'w',
For w=3,
So, it is minimum at w=3.
Now, the dimensions of the box is
Width = 3 ft.
Length = 2(3)= 6 ft
Height =
Therefore, the dimensions of the box that minimize the materials used is