A family sized container of ice cream holds 16 3/4 cups of ice cream and costs $31.50. A store serves 1 1/3 cups of the same ice
cream in a bowl and charges $3.70. Which costs more per cup and by how much ?
Answer Choices:
A. The bowl costs $1.82 more.
B. The family sized container costs $1.88 more per cup.
C.The bowl costs $0.90 more per cup.
D. The bowl costs $2.77 more per cup.
Answer Choices:
A. The bowl costs $1.82 more.
B. The family sized container costs $1.88 more per cup.
C.The bowl costs $0.90 more per cup.
D. The bowl costs $2.77 more per cup.
1 answer:
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Answer: (D) 16%
Step-by-step explanation:
Binomial probability formula :-
, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.
Given : The proportion of students in College are near-sighted : p= 0.28
Sample size : n= 20
Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_
Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.
Let h = height of the box,
x = side length of the base.
Volume of the box is
.
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
![4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86](https://tex.z-dn.net/?f=%204x%20%3D%20%5Cfrac%7B460%7D%7B%20x%5E%7B2%7D%20%7D%20%20%5C%5C%20%204x%5E%7B3%7D%20%3D%20460%20%20%5C%5C%20x%5E%7B3%7D%20%3D%20115%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B115%7D%20%3D%204.86%20)
Then
So the box is 4.86 in. wide and 4.87 in. high.
x = side length of the base.
Volume of the box is
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
Then
So the box is 4.86 in. wide and 4.87 in. high.