Answer:
6%
Step-by-step explanation:
First, let's break this down:
60% of arenas sold out
- 90% had been on previous tour
Out of those arenas that did NOT sell out
- 25% had been on previous tour
We want to know the joint relative frequency of area that were sold out AND NOT on the previous tour schedule, therefore all the information about areas that did NOT sell out is irrelevant.
Because 90% of the areas that were sold out had been on the previous tour, 10% had NOT been on the previous tour.
Therefore, considering all the arenas, 10% of 60% of the arenas were sold out and not on the previous tour.
Let <em>x</em> equal the total number of arenas:

Convert to percent
6%
Therefore, the joint relative frequency of sold out arenas that were not on the previous tour is 6%.
If you factor 4x²-12x, you can divide 4x from each term.
4x² ÷ 4x = x
-12x ÷ 4x = -3
Therefore, the other term becomes (x-3) because 4x(x-3) = 4x²-12x
Answer:
is the slope and
is the y-intercept.
Step-by-step explanation:
The slope-intercept form of a line is given as:

Here, the coefficient of
represents the slope of the line.
The coefficient of
is
and hence the slope.
y-intercept is the value of
for which is
is 0.
Now, if we put
as 0 in the above equation, we get

Therefore, y-intercept is
.
Hence, for the line with slope-intercept form
,
is the slope and
is the y-intercept.
Answer:
4.09m^2
Step-by-step explanation:
A countertop is 11 feet long and 4 fee t wide.
Using the conversion
1foot = 0.305 meter
11fet = 11(0.305)
11feet = 3.355 m
4 feet= 4 * 0.305
4feet = 1.22m
Area of the countertop = Length * Width
Area of the countertop = 3.355 * 1.22
Area of the countertop = 4.0931m^2
Hence the required area is 4.09m^2 to 2 decimal places
Answer:
3,454 cm³
Step-by-step explanation:
This is a cylinder so the volume formula is 
The problem gives us the diameter (20 cm) and the height (11 cm). Since the formula uses the radius instead of the diameter, we have to divide the diameter by 2.
20 ÷ 2 = 10
The radius is 10 cm
Now, we plug our height and radius into the formula to find the volume.

V≈3,454