Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L'M'N'O'. If a line segment is drawn fro
2 answers:
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Answer:
Part 3)
Part 4)
Step-by-step explanation:
Part 3) Calculate the total surface area of three 4 cm cubes
we know that
The surface area of a cube is equal to the area of its six square faces
so
The surface area of three cubes is equal to the area of its 18 square faces
where
b is the length side of the square face
In this problem
so
The surface area of three cubes is
substitute the given value
Part 4) How much surface area would be lost if you glued three 4-cm cubes together to make a rod that is three cubes long and one cube wide?
In this case the total surface area of the three glued 4-cm cubes is equal to the area of its 14 square faces
so
The surface area lost is equal to
substitute
Answer:
The probability is .
Step-by-step explanation:
We have a drawer that contains :
- Six white socks
- Three brown socks
- Seven black socks
Let's define the following events :
W : '' The sock we got was white ''
Br : '' The sock we got was brown ''
Bl : '' The sock we got was black ''
We can calculate the following probabilities by counting :
Because there are 6 white socks out of 16 socks in the drawer
Using the same reasoning :
Now to calculate the probability of getting at least two socks of the same color we need to think about the following :
Getting at least two socks of the same color means getting two, three or four (except the brown socks because we only have three brown socks) of the same color.
Again we can calculate the probability by counting :
But giving that we pull out four socks, we always will get at least two socks of the same color.
In the most desfavorable case we will get one white sock, one brown sock and one black sock. And in the last extraction we will complete it with a white, brown or black sock (obtaining two socks of the same color).
Finally, all extractions of four socks will have at least two of the same color.
The probability is .