Factorise completely 12 t 2 − 6 t ^^^^^^^
1 answer:
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Step-by-step explanation:
The complete frequency distribution table for the data has been attached to this response.
The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear <em>9</em> times in the data. Also, the numbers in the range 3 - 5 appear <em>6</em> times. The same logic applies to other ranges.
The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.
So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e
9 / 38 = 0.24
Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e
6 / 38 = 0.16
Do the same for the other ranges.
<h3>Answer: Choice A</h3>
Why? Because the denominators are both the same at 2x+8. We can only add or subtract fractions when the denominators are the same. The general rule for adding fractions is
We have numerators A and B added together over a common denominator C. If we didn't have a common denominator, then we'd have to do a bit of algebraic manipulation to get both fractions to a common denominator. It doesn't have to be the lowest common denominator (LCD), though it's often more efficient that way.