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.
So ram had 10 chocolates and i had 30 chocolates
because 1:3= 10:30
=> 4= 40
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd
Area of parallelogram = base * height
We need to divide the combined area into two to get each parallelogram's base.
9 1/3 = ((9*3)+1)/3 = 28/3
28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²
Area of each parallelogram is 4 2/3 yd²
4 2/3 yd² = base * 1 1/3 yd
14/3 yd² ÷ 4/3 yd = base
14/3 yd² x 3/4 yd = base
14*3 / 3*4 = base
42 / 12 = base
3 6/12 yd = base
or 3 1/2 yd = base
a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.
length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds
Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²
