The container is aproximatly 1064.16 cm^2
Volume of a cylinder (area of the base* height) + area of the sphere (4 *pi * r^2)
(25*30) + (4* pi * 25) = 750 + 314.15926535898 = 1064.15926535898
Answer:

Step-by-step explanation:
The marginal cost function, C'(x), is the derivate of the cost function, C(x).
Therefore, we can obtain the cost function by finding the integral of the marginal cost function:

Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:

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Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

Therefore,


<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,

<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.