Expand (x+2)^6 using the Binomial Theorem and Pascal’s triangle. Show your work.
1 answer:
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
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Answer:
Left box: Outlier in this data set is (57,132)
Right box: because the finish time looks faster than expected for the age.
Step-by-step explanation:
As per the given table shows the and
of
runners.
It is clear that people of age around are finishing at around
and person with older age takes longer to finish.
One person of age finishes in
, that looks as expected.
Another person of same age finishes it too fast which is unexpected.
Therefore is an outlier, because it looks a faster finish as per expected.