Part (a)
Independent variable = age
Dependent variable = height
"depends on age" indicates that age is independent.
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Part (b)
Independent variable = amount of sleep
Dependent variable = mood
The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
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Part (c)
Independent variable = time water has been running
dependent variable = amount of water in the tub
Time is usually the independent variable
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Part (d)
Independent variable = speed
dependent variable = distance from home
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Part (e)
Independent variable = amount of homework done
dependent variable = speed
This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar
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Part (f)
Independent variable = amount of hw that is assigned
dependent variable = amount of homework done
Like with part (a), the stuff before "depends" is the dependent variable
Answer:
- 7
- see below
- 5
- the rule is not one-to-one
Step-by-step explanation:
Applying the squaring rule to each of the elements of the domain, we get ...

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1. There are 7 different numbers in the Domain list.
2. See above
3. There are 5 different numbers in the Range list.
4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.
The answer is y = -3x + 11, if you plug in a few examples it works.
Answer:
Correct option: A -> 1/24
Step-by-step explanation:
To find the probability of having a card with the value greater than six, the options are: 7 and 8. So there are two options in the total of 8, so the probability is P1 = 2 / 8 = 1/4
The cube has 6 numbers, from 1 to 6, so the probability of rolling a six is P2 = 1/6
To find the final probability, we multiply both probabilities, so:
P = P1 * P2 = (1/4) * (1/6) = 1/24
Correct option: A
A cube has 6 sides.
Find 1 side:
1 side = 2/3 x 2/3 = 4/9
Find 6 sides:
6 sides = 4/9 x 6 = 8/3 = 2 2/3 ft²
Answer: 2 2/3 ft²