Is the binomial theorem and pascal's formula the same?

1 answer:

3 0

They are closely related. The Binomial Theorem expands (a+b)ⁿ as the sum of a series of terms involving progressive powers of a and b with a coefficient based entirely on the exponent n. Coefficients of consecutive terms in the series are the same as the nth rows of Pascal’s Triangle. This means that the formula used for calculating the coefficients in the Binomial expansion is the same one used to calculate the numbers in the corresponding row of Pascal’s Triangle. The nomenclature ⁿcᵣ for the number of ways of combining r objects out of n objects invokes this formula.

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Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the

WINSTONCH [101]

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

4 0

2 years ago

If your current examination mean is 97.2 and you receive a 99 on the next examination, what effect will this have?

mr Goodwill [35]

If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.

Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.