Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.
The table was not provided, but it is not necessary since the exponential regression equation was provided.
The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ
where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning
In our case,
y = 9.92 · (0.8208)ˣ
where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.
We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11
Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
= 1.13
In 2011 we can predict there will be only 1.13 million VHS movie rentals.
I can't really answer this problem if we focus only on the given information. However, I found a similar problem to this with a given diagram. This is shown in the picture attached. As you can observe, two arcs have equal measures of 65° and two have measures of 115°. Thus, the congruent arcs are:
<em>EH = HG and EF = GF.</em>
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
The minimum amount of trips would be 5. This is because in one trip he can only carry 3, so you would take 5 times 3. You may think it should be 4 trips, but 12 is 1 short of 13,so you would have to make one extra trip to get all 13 bottles.
