Please explain!

Mathematics

1 answer:

finlep [7]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

y^2-5y -4

Discussion:

The problem asks us to find the polynomial, g(y), such that

y^2-5y + 1 - g(y) = 5 => (add g(y) to both sides)

y^2 -5y + 1 - g(y) + g(y) = 5 + g(y) =>

y^2 -5y + 1 + 0 = 5 + g(y) => (as -g(y) + g(y) = 0)

Finally subtract 5 from both sides:

y^2 - 5y + 1 -5 = (5 -5 ) + g(y) =>

y^2-5y -4 = g(y)

Thank you,

MrB

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Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul

Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...