Given the table below which shows the result of a survey that asked
2,856 people whether they are involved in any type of charity work.
![\begin{tabular}{|c|c|c|c|c|c|} &Frequently&Occassionally&Not at all&Total\\[1ex]Male&225&455&799&1,479\\Female &203&430&744&1,377\\Total&428&885&1,543&2,856\end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%20%26Frequently%26Occassionally%26Not%20at%20all%26Total%5C%5C%5B1ex%5DMale%26225%26455%26799%261%2C479%5C%5CFemale%20%26203%26430%26744%261%2C377%5C%5CTotal%26428%26885%261%2C543%262%2C856%5Cend%7Btabular%7D)
Part A:
If a person is chosen at random, the probability that the person is
frequently or occassinally involved in charity work is given by:
![P(being \ frequently \ involved \ or \ being \ occassionally \ involved)\\ \\= \frac{428}{2856} + \frac{885}{2856} = \frac{1313}{2856}=\bold{0.460}](https://tex.z-dn.net/?f=P%28being%20%5C%20frequently%20%5C%20involved%20%5C%20or%20%5C%20being%20%5C%20occassionally%20%5C%20involved%29%5C%5C%20%5C%5C%3D%20%5Cfrac%7B428%7D%7B2856%7D%20%2B%20%5Cfrac%7B885%7D%7B2856%7D%20%3D%20%5Cfrac%7B1313%7D%7B2856%7D%3D%5Cbold%7B0.460%7D)
Part B:
If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by:
![P(being \ a \ female \ or \ not \ being \ involved)\\ \\= \frac{1377}{2856} + \frac{1543}{2856}-\frac{744}{2856} = \frac{2176}{2856}=\bold{0.762}](https://tex.z-dn.net/?f=P%28being%20%5C%20a%20%5C%20female%20%5C%20or%20%5C%20not%20%5C%20being%20%5C%20involved%29%5C%5C%20%5C%5C%3D%20%5Cfrac%7B1377%7D%7B2856%7D%20%2B%20%5Cfrac%7B1543%7D%7B2856%7D-%5Cfrac%7B744%7D%7B2856%7D%20%3D%20%5Cfrac%7B2176%7D%7B2856%7D%3D%5Cbold%7B0.762%7D)
Part C:
If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by:
![P(being \ a \ male \ or \ being \ frequently \ involved)\\ \\= \frac{1479}{2856} + \frac{428}{2856}-\frac{225}{2856} = \frac{1682}{2856}=\bold{0.589}](https://tex.z-dn.net/?f=P%28being%20%5C%20a%20%5C%20male%20%5C%20or%20%5C%20being%20%5C%20frequently%20%5C%20involved%29%5C%5C%20%5C%5C%3D%20%5Cfrac%7B1479%7D%7B2856%7D%20%2B%20%5Cfrac%7B428%7D%7B2856%7D-%5Cfrac%7B225%7D%7B2856%7D%20%3D%20%5Cfrac%7B1682%7D%7B2856%7D%3D%5Cbold%7B0.589%7D)
Part D:
If a person is chosen at random, the probability that the person is
female or not frequently involved in charity work is given by:
![P(being \ a \ female \ or \ not \ being \ frequently \ involved)\\ \\= \frac{1377}{2856} + \frac{885}{2856} + \frac{1543}{2856}-\frac{430}{2856}-\frac{744}{2856} = \frac{2631}{2856}=\bold{0.921}](https://tex.z-dn.net/?f=P%28being%20%5C%20a%20%5C%20female%20%5C%20or%20%5C%20not%20%5C%20being%20%5C%20frequently%20%5C%20involved%29%5C%5C%20%5C%5C%3D%20%5Cfrac%7B1377%7D%7B2856%7D%20%2B%20%5Cfrac%7B885%7D%7B2856%7D%20%2B%20%5Cfrac%7B1543%7D%7B2856%7D-%5Cfrac%7B430%7D%7B2856%7D-%5Cfrac%7B744%7D%7B2856%7D%20%3D%20%5Cfrac%7B2631%7D%7B2856%7D%3D%5Cbold%7B0.921%7D)
Part E:
The events "being female" and "being frequently involved in charity
work" are not mutually exclusive because being a female does not prevent
a person from being frequently involved in charity work.
Indeed from the table, there are 205 females who are frequently involved in charity work.
Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
Answer:
The car would be able to travel for 8 hours in a 360-mile car trip if it's going 45 mph.
Step-by-step explanation:
The formula for this problem is:
Distance = Rate x Time
We have the distance:
360 miles
We have the rate:
45 mph.
The time is what we're trying to find out.
So fill in the blanks:
(360 = 45 x ?)
Then set up the problem and solve.
360 / 45 = 8
There you go.
Answer:
it 12 not 3 okay
Step-by-step explanation:
Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
Answer:
Height of the Ivory's copy = 12 units
Hope this helps