Select Alarm Systems

Math questions…???

An average of 1.8% of Apex Alarm systems need a battery replacement after 3 years in operation. Seventy-two battery replacements are needed in the next three years. What is the best estimate of how many Apex Alarm systems were sold?

1-
1.8 represents the percentage of replacements , the number that is its: 72
so establishing by rule of 3, you should do
100——–X
1.8 —— 72

you multiply crossed so you get this:

X= (72 * 100) / 1.8
X= 4 000

2—–E F G H I J search for the ones who doesnt repeat
—-E-x– I—I—I—I–I ———– EF EG EH EI EJ
—-F–I—x–I—I—I–I— ———–FG FH FI FJ
— G–I—I–x—I—I–I— ———–GH GI GJ
—-H–I—I– I—x–I–I—- ————HI HJ
— I —I—I—I—I–x–I—- ————- IJ
— J—I—I—I– I—I–x

there can be fifteen (15) diferent pair of brands.

3- i am not sure what you meant with that, but i think is by this:
posibility chance/ event chance time
3 is the number of tosses, 1 is the number you have so that the coin turns on side ( tail or head) and 2 is the number of faces the coin have so we have:
(1 / 2) = 1/2 = 0.5 *100 = 50 %possiblities each time you toss the coin.
4-same for the others
posibility chance/ event chance time
1* (1/16) = 0,0625*100 = 6.25 % posiblities

5- same
(1/6)=0.1667= 16.67 % possibilities

6-

same
(1/8)=0.125= 12.5 % possiblities

7-

same
(1/36)=0.0278= 2.78 % possibilities

hope i could be of help.

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