it is the 3(4) because it is addenig not multiplying
Using the distance formula, there is a Y difference of 6 and a X difference of 7. Create a triangle with those side lengths and solve for the hypotenuse. Sqrt85 is the exact answer. 9.2195 is the rounded.
now, how do we get the coefficients? well, the first coefficient is 1, any subsequent is " the product of the current terms's coefficient and the exponent of the first element, divided by the exponent of the second element in the next term", now that's a mouthful, but for example,
how did get 210 for the 5th expanded term? well is just 120 * 7 / 4
how about 252 of the 6th term? 210 * 6 / 5.
how about 45 of the 9th one? 120 * 3 / 8.
of course, the exponents for each is simple, as you'd already know from the binomial theorem.
so, just expand away the 9th expanded term.
Theoretical Probability (Pink Band) - 19/37
Their are 95 pink rubber bands (numerator) and when adding 95+90 = 185 (denominator) to get the theoretical probability you would get 95/185 which when simplified by the factor of 5 would be the same thing as 19/37.
Theoretical Probability (Brown Band) - 18/37
Their are 90 brown rubber bands (numerator) and we already know that are denominator will be 185 so we would get 90/185. This fraction is also divisible by a factor of 5 so when simplified you would get 18/37.
Experimental Probability (Pink/Brown Band) - 12/23 and 11/23
Pink Band: Their is a 36 (numerator) out of (36+33) 69 (denominator) chance of pulling a pink band so it would be written as 36/69 which is divisible by 3 and when simplified is written as 12/23.
Brown Band: Their is a 33 (numerator) out of our already known denominator 69 chance of pulling a brown band. When written as a fraction this would be 33/69 which is also divisible by 3 and when simplified 11/23.
We can conclude with this data that their is a slightly higher chance of pulling a pink rubber band compared to the experimental probability of picking a brown rubber band because we know that 12/23 > 11/23.
Answer:
y=-2
x=-6
Step-by-step explanation:
