There are 3 measures of music that are played 3 times in a song. If the first measure has 8 notes, the second measure has 16 not
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Answer:
1) The probability that the second apple is red is 0.7143 (71.43%).
2) The probability that at least one red apple is picked 0.9341 (93.41%).
Step-by-step explanation:
We can make a probability tree as the attached picture.
1) There are 2 ways in the probability tree when the second apple is red:
Both apples are red:
P(R∩R)==0.4945
Only the second apple is red:
P(Y∩R)==0.2198
The probability that the second apple is red is the sum of the previous probabilities.
P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143
2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.
The way in the probability tree is Y∩Y:
P(Y∩Y)==0.0659
P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341
Here we want to solve differential equations, we will see that the general solution is:
We want to solve the differential equation:
From this is pretty clear that y is an exponential function, with an exponent of -1*t.
We can write it generally as:
Then if we set B = 100 we get:
So we just found the general form of the function.
Now we have two cases:
A) y(0) = 35
In this case, the function is:
B) y(0) = 125
In this case, the function is:
Now we want to see which one of the two can represent how a person learns. Just look at the graph below:
The green line is the one for y(0) = 35, and the blue one is for y(0) = 125.
Notice that for small values of t, the blue function is really large, thus it can't really model how a person learns (is larger for smaller values of t than for larger values).
So y(0) = 35 represents better how a <em>person can learn</em> (but not exactly, because you can see that it eventually becomes almost constant, which is something that really does not happen) so the correct option is <u>D: none of the above.</u>
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