What is the change in y called in slope
1 answer:
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Answer:
The cost of materials for the cheapest such container is $163.54.
Step-by-step explanation:
A rectangular storage container with an open top is to have a volume of 10 m³.
The volume of the rectangle is
Length of its base is twice the width.
Let Width be 'w'.
Length is l=2w.
Height be 'h'.
The height in terms of width is represented as,
According to question,
The cost is 10 times the area of the base and 6 times the total area of the sides.
i.e. Cost is given by,
To get the minimum value,
Differentiate the cost w.r.t 'w',
To find critical points put derivate =0,
We find the second derivative to minimize,
As it is the minimum cost.
The cost is minimum at w=1.65.
Substitute the values in the cost function,
Therefore, the cost of materials for the cheapest such container is $163.54.
Given, in the spinner 8 equal sectors, numbered 1 to 8.
So total numbers = 8.
Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).
Now we know that, probability of an event E is
P(E) = (number of outcomes in the event)/ (total number of possible outcomes).
So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.
So P(Three) =
Similarly, P(Eight) =
Probability of spinning a 3 or an 8 = P(Three) + P(Eight)
=
As the denominator is same we can add the numerator.
=
=
Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.
The common factor of 2 and 8 is 2. So by dividing them we will get,
=
We have got the required answer.
The probability of spinning a 3 or an 8 is