Answer:
(B) 9/20
Step-by-step explanation:
The fastest machine can do 1/4 of the job in 1 hour. The second-fastest machine can do 1/5 of the job in 1 hour. Together, these two machines can do ...
(1/4) +(1/5) = (5+4)/(5·4) = 9/20
of the job in 1 hour.
9/20 of the job can be done in 1 hour by two of the machines.
Answer:
14/15 gallons every mile (0.933333)
Step-by-step explanation:
take the number of gallons of gas, and divide it by how many miles there are.
Answer:
P(cell has at least one of the positive nickel-charged options) = 0.83.
P(a cell is not composed of a positive nickel charge greater than +3) = 0.85.
Step-by-step explanation:
It is given that the Nickel Charge Proportions found in the battery are:
0 ==> 0.17
.
+2 ==> 0.35
.
+3 ==> 0.33
.
+4 ==> 0.15.
The numbers associated to the charge are actually the probabilities of the charges because nickel is an element that has multiple oxidation states that is usually found in the above mentioned states.
a) P(cell has at least one of the positive nickel-charged options) = P(a cell has +2 nickel-charged options) + P(a cell has +3 nickel-charged options) + P(a cell has +4 nickel-charged options) = 0.35 + 0.33 + 0.15 = 0.83.
Or:
P(a cell has at least one of the positive nickel-charged options) = 1 - P(a cell has 0 nickel-charged options) = 1 - 0.17 = 0.83.
b) P(a cell is not composed of a positive nickel charge greater than +3) = 1 - P(a cell is composed of a positive nickel charge greater than +3)
= 1 - P(a cell has +4 nickel-charged options) '.' because +4 is only positive nickel charge greater than +3
= 1 - 0.15
= 0.85
To summarize:
P(cell has at least one of the positive nickel-charged options) = 0.83!!!
P(a cell is not composed of a positive nickel charge greater than +3) = 0.85!!!
Answer:
$16.99
Step-by-step explanation:
The first step into solving this requires you to find out what 15% of $19.99 is. In order to do that, you must multiply the number (19.99) by the decimal form of the percentile (15%). To find a decimal form of a percent sign, you must simply move the decimal two spots to the left, to change the denominator to 100. A number always has a denominator, even if it isn't shown. in this case, it is 15/1, and we have to convert it to 15/100 so all you have to do is divide 15 by 100, or move the decimal to the left 2 spots. The answer you should get is 0.15
I normally don't round until I have the <em>final</em> answer, just so the numbers aren't off. So then, what you need to do, is multiply 19.99 by your newly found decimal. You should get 2.9985. Now, the question asks for how much the cartridge would cost if it were 15% off, so therefore you must subtract your answer from the original number (19.99), and should get 16.9915. Now is the time you should simplify to the nearest hundredth, and should get $16.99 as your final answer.