Remark
You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.
Step One
Write the base 2 number in groups of 3 starting from the right and going left
11 100 111
Step Two
Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7
11 = 2*1 + 1 = 2 + 1 = 3
100 = 1*2^2 = 4
111 = 1*2^2 + 1*2 + 1 = 7
Step Three
Read the answer going down.
347 is the answer
Answer
347(8) = C
<h3>
Answer: choice F) 12 & 1/2 square yards.</h3>
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We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
Let's convert the first mixed number to an improper fraction
a & b/c = (a*c + b)/c
3 & 3/4 = (3*4 + 3)/4
3 & 3/4 = 15/4
Repeat the same idea for the second mixed number as well
a & b/c = (a*c + b)/c
3 & 1/3 = (3*3 + 1)/3
3 & 1/3 = 10/3
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In short we have
- 3 & 3/4 = 15/4
- 3 & 1/3 = 10/3
Doing these conversions is useful to be able to multiply the values like so:
(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2
Now use your calculator to find that 25/2 = 12.5
We can then say....
12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2
The answer is choice F) 12 & 1/2 square yards.
Answer: 0.70
Step-by-step explanation:
Given : The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:
x 0 1 2 3 4 5
P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05
Using the above probability distribution , the the probability that in a given week there will be at most 3 accidents is given by :_
Hence, the required probability = 0.70
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Square Rug
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Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²
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Rectangle Rug
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Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²
39.69 ft² is bigger than 29.36 ft², so the square rug is bigger.
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Ans: The Square Rug covers a greater area
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Answer: 6,400 Explanation: there is 3200 ounces in one ton so i took that and divided it by 5
