The decimal number 0.45833333333 is equivalent to the fraction 11/27. We arrived at this answer by setting up an equation with the decimal as an unknown, then manipulating and solving the equation to find its equivalent fraction form.
The decimal number 0.45833333333 represents a recurring decimal where '58333' repeats itself infinitely. To convert recurring decimals into fractions, we can use a method involving algebra.
Let's represent 0.45833333333 as 'x'. We can express 'x' in the form of 0.45833... = x. Then, multiply both sides of the equation by 10 to the power of a number of repeating digits (which is 5 in this case): 10^5*x = 45833.33333...
Now, subtract the original equation from the one after multiplication, we get 99999x = 45833. Then, solve for 'x', x = 45833/99999. Simplifying this fraction gives us x = 11/27.
Therefore, 0.45833333333 as a fraction is 11/27.
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The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.
The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.
However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.
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Answer:
8/27
Step-by-step explanation:
A: 6.4 cm
B: 5.0 cm
C:5.5 cm
D: 4.4 cm
The actual wingspan of fly is 5.5cm
Step-by-step explanation:
Given,
Scale of drawing;
4mm = 1cm
Ratio of mm to cm = 4:1
Wingspan of fly in drawing = 22mm
Let,
x be the actual wingspan.
Ratio of mm to cm = 22:x
Using proportion;
Ratio of mm to cm :: Ratio of mm to cm
Product of extreme = Product of mean
Dividing both sides by 4
The actual wingspan of fly is 5.5cm
Keywords: proportion, division
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Answer:
The square root of 392 with one digit decimal accuracy is 19.7
Step-by-step explanation: