Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text
1 answer:
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Answer:
Check the explanation
Step-by-step explanation:
Moment of inertia refers to a specific rotation axis, when there’s is a moment of inertia of a point mass with respect to an axis it means the creation of the mass that is multiplied by the distance from the axis squared. The moment of inertia of whichever extended object is a build up from that fundamental definition.
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Answers are in bold
4a) 13/49
4b) 32/245
4c) 22/49
4d) 37/49
4e) 213/245
5) 0 and 1
6) They must sum to 1
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Explanation:
4a)
Add up all the numbers in the frequency column.
50+65+32+38+60 = 245
Then divide the frequency for ground beef (65) over the total (245)
65/245 = 13/49 is the probability of getting ground beef
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4b)
Divide the frequency for bacon (32) over the total calculated earlier.
The probability of getting bacon is 32/245
The fraction cannot be reduced further since 32 and 245 don't have any factors in common other than 1.
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4c)
50 people bought boneless chicken and 60 bought pork tenderloin.
This sums to 50+60 = 110 people out of the 245
110/245 = 22/49 is the probability of someone getting either boneless chicken or pork tenderloin.
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4d)
60 bought pork tenderloin out of the 245 total. That leaves 245-60 = 185 who did not buy pork tenderloin
185/245 = 37/49 is the probability of someone not getting pork tenderloin.
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4e)
32 people bought bacon out of the 245 people total. This means 245-32 = 213 people did not buy bacon.
The probability of not buying bacon is therefore 213/245. The fraction cannot be reduced further.
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5)
Probabilities must always be between 0 and 1.
0 represents "the event is impossible and will never happen"
1 represents "the event is guaranteed to happen"
In other words, 0 represents a 0% chance of it happening, while 1 represents a 100% chance of it happening.
If x is the probability of some event, then
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6)
The probabilities must sum to 1.
In other words, all the probabilities must add to 1.
Like mentioned earlier, the value 1 in terms of probability represents 100%
It's like adding fractions of a pizza and those fractions must add up to a whole pizza. We cannot add past 100% because this is the highest we can go.