Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
Answer:
V'(t) = 
If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.
Step-by-step explanation:
Given:
V =
, where 0≤t≤40.
Here we have to find the derivative with respect to "t"
We have to use the chain rule to find the derivative.
V'(t) = 
V'(t) = 
When we simplify the above, we get
V'(t) = 
If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.
16 us customary cups are in a gallon
We first convert the given equation of the line to slope-intercept form, giving us,
y = -2x - 5
The slope is -2 and the y-intercept is -5. For the new line, the slope should also be equal to -2 and the y-intercept be equal to 2. The equation is then equal to,
y = -2x + 2