Apply the binomial theorem to 210 = (1 + 1)^10 . answer each question in the work area provided below.

1. write out the equation using combination notation.

2. simplify each term. do not combine the terms.

3. in two or more complete sentences, describe the relationship between the terms of the equation and the number of combinations when flipping a coin 10 times.

4. what is the theoretical probability of getting exactly 5 heads in a sequence of 10 flips?

5. in two or more complete sentences, compare the theoretical probability of getting exactly 5 heads with the fraction in your histogram. interpret any differences.

Step-by-step explanation:

1)

2)

3) The rth term is the number of combinations of getting r heads when a coin is flipped 10 times

4) Getting exactly 5 heads frequency = 10C5 =252

Prob =

5) Getting 5 heads would be

10C5 (1/2)^10 =0.2461 same as above.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!