a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the is the complement of , then by DeMorgan's law,
8(x-3)=8x-24
8x-24=8x-24
8x=8x
x=x
Since x just has to equal itself and not a specific number, there are C, infinitely many solutions to this equation.
<u>Given</u>:
Given that the pie chart shows the relative frequency distribution resulting from a survey of 6000 US rural households with internet connections in a certain year.
We need to determine the total number of households with each type of internet in the survey.
<u>Cable modem:</u>
Since, the relative frequency distribution for cable modem is 0.142
The total number of households that use cable modem is given by
Thus, 852 households use cable modem.
<u>DSL</u>:
Since, the relative frequency distribution for DSL is 0.092
The total number of households that use DSL is given by
Thus, 552 households use DSL.
<u>Dialup</u>:
Since, the relative frequency distribution for dialup is 0.747
The total number of households that use dialup is given by
Thus, 4482 households use dialup.
<u>Others</u>:
Since, the relative frequency distribution for others is 0.019
The total number of households that use others is given by
Thus, 114 households use others.
Answer:
$2400
$12,400
Step-by-step explanation:
Simple interest equation:
PV(1+it)
we have
10000(1+.06*4)
10000(1.24)
12400
Subtract the PV to get the interest earned
12400-10000= 2400
We just found that the total would be 12,400 and so part B is already solved