In a computer lab there are 3 computers for every 6 students.How many computers will be needed for 24 students
2 answers:
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Answer:
Step-by-step explanation:
Let:
This is an exact differential equation because:
With this in mind let's define f(x,y) such that:
and
So, the solution will be given by f(x,y)=C1, C1=arbitrary constant
Now, integrate with respect to x in order to find f(x,y)
where g(y) is an arbitrary function of y
Let's differentiate f(x,y) with respect to y in order to find g(y):
Now, let's replace the previous result into :
Solving for
Integrating both sides with respect to y:
Replacing this result into f(x,y)
Finally the solution is f(x,y)=C1 :
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
=
= .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.