Answer:
33
Step-by-step explanation:
Answer:
The answer is
33$
Step-by-step explanation:
The total number of nails will decrease by 14 when Willa will use 7 nails on each side.
Step-by-step explanation:
Sides of one birdhouse = 7
Nails used on each side = 9
Nails used on one birdhouse = No. of sides * Nails used for each side
Nails used on one birdhouse = 7*9 = 63 nails
If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;
No. of nails = 7*7 = 49 nails
Difference = Old value - New value
Difference = 63-49 = 14
The total number of nails will decrease by 14 when Willa will use 7 nails on each side.
Keywords: multiplication, subtraction
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For this case we have the following expression:
We must rationalize the expression, so we multiply by:
So, we have:
Thus, the correct option is option B.
Answer:
OPTION B
Answer:
B.
Step-by-step explanation:
To simplify something that looks like you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had , then you would multiply top and bottom the conjugate of which is .
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of is
.
This is the thing we are multiplying and top and bottom.
Answer: Probability that both the pirate and the Captain hit each other's ships is
Step-by-step explanation:
since we have given that
Probability that the captain hits the pirate ship is given by
Probability that the pirate hits the Captains's ship is given by
So, we have to find the "Probability that both the pirate and the Captain hit each other's ship" is given by
Hence, probability that both the pirate and the Captain hit each other's ships is
The probability that both the pirate and the Captain hit each other's ships is . This can be calculated by calculating the joint probability of both events.
A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:
, where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.
Given:
The probability of Captain hitting the pirate ship is
The probability of pirate hitting the Captain's ship is .
Therefore the joint probability will be:
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