The height of one cottage will be 3 meters, and the volume will be 108 cubic meters. What tool can help you find different dimen
sions for the floor? Give two different possible pairs of dimensions for the floor.Explain.
1 answer:
Answer:
Step-by-step explanation:
A.
• Models
• Drawing - geometry
B.
Given:
Height, h = 3 m
Volume of prism, V = 108 m^3
Volume of the rectangular prism, V = Area of the base, A × height, h
Area, A = 108/3
= 36 m^2
Area of the rectangle, A = length, L × width, B
LB = 36 m^2
Dimensions:
1. Length: 18 m
Width: 2 m
2. Length: 9 m
Width: 4 m
3. Length: 12 m
Width: 3 m
Since the area of the base Is equal to the area of a rectangle, therefore the sides are just multiples of 36. That is, 12 × 3, 9 × 4 and 18 × 2
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Answer:
a) There is a probability of 42% that the person will feel guilty for only one of those things.
b)There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons
Step-by-step explanation:
This probability problem can be solved by building a Venn like diagram for each probability.
I say that we have two sets:
-Set A, for those people that will feel guilty about wasting food.
-Set B, for those people that will feel guilty about leaving lights on when not in a room.
The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that
The problem also states that there is a .39 probability that a randomly selected person will feel guilty about wasting food. It means that P(A) = 0.39. The probability of a person feeling guilty for only wasting food is PO(A) = .39-.12 = .27.
Also, there is a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. So, the probability of a person feeling guilty for only leaving the lights on is PO(B) = 0.27-0.12 = 0.15.
a) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room?
This is the probability that the person feels guilt for only one of those things, so:
P = PO(A) + PO(B) = 0.27 + 0.15 = 0.42 = 42%
b) What is the probability that a randomly selected person will not feel guilty for either of these reasons
The sum of all the probabilities is always 1. In this problem, we have the following probabilies
- The person will not feel guilty for either of these reasons: P
- The person will feel guilty for only one of those things: PO(A) + PO(B) = 0.42
- The person will feel guilty for both reasons: PB = 0.12
So
`P + 0.42 + 0.12 = 1
P = 1-0.54
P = 0.46
There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons