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Karolina [17]
3 years ago
10

If a−3b/a+b = 3/4 , what are the following ratios? a+b/a

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Answer:

16/15

Step-by-step explanation:

We are given the equation;

a−3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

  • Using cross multiplication;

a−3b/a+b = 3/4  becomes,

4(a-3b) = 3(a+b)

4a - 12b = 3a + 3b

  • Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1)/15

         = 16/15

Therefore, the ratio a+b/a is 16/15

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Discuss circumstances under which it is preferable to use relative frequency distributions instead of frequency distributions?
Mrac [35]

Answer:

The relative frequency distributions would be more preferable to use when we want to measure the weight of a particular category or also when we want to compare different categories of data within a table. Moreover, relative frequency is often used for the probability calculations.

Step-by-step explanation:

Frequency distribution:

A frequency distribution simply tells us how many times an event has occurred or in other words, it is the rate of occurrence.

Relative frequency distribution:

On the other hand, the relative frequency tells us the fraction of how many times an event has occurred with respect to the total number of trials.

For example:

Consider a bag of marbles having marbles of different colors. We randomly pick marbles from the bag and got the following results.

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The frequency of Red marbles is 2 which means that the red marble came up two times. Similarly, the blue marble came up four times.

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The relative frequency of green marble is 6/15 = 0.40 = 40%

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When relative frequency distributions is preferred?

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Step-by-step explanation:

\tan(45) =  \frac{x}{13}   \\ 1 =  \frac{x}{13}   \\ x = 13

\cos(45)  =  \frac{13}{y} \\ 2 \sqrt{2}  =  \frac{13}{y} \\ 2y \sqrt{2}  = 13 \\ y =  \frac{13}{2 \sqrt{2} }

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