Answer:
e. R′
Step-by-step explanation:
Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given
R complement = R` = Universal Set minus Red cards will give blue cards.
a. R OR O
It cannot be this option because we need 4 blue card
b. B AND O
It cannot be this choice as well because 4 is not odd.
c. R OR E
4 is even but we need blue
d. R AND O
Red and odd is again not required
e. R′ = It will give our required result.
f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...
![\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D-%5Cdfrac%7B1%7D%7B8%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5Ccdot%5Cdfrac%7B8%7D%7B8%7D-%5Cdfrac%7B1%7D%7B8%7D%5Ccdot%5Cdfrac%7B6%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B40-6%7D%7B48%7D%3D%5Cboxed%7B%5Cdfrac%7B34%7D%7B48%7D%7D)
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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
Answer:
![y = x + 8](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%208)
Step-by-step explanation:
![x - y = - 8](https://tex.z-dn.net/?f=x%20-%20y%20%3D%20%20-%208)
![x + 8 = y](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20y)
Answer:
128 square inches good luck