What is the common difference in the following arithmetic sequence? n an 1 –12 2 –1 3 10 4 21 –11 –1 1 11

11 is the common difference of the given sequence.

Step-by-step explanation:

Here the given sequence is

Terms           1          2           3        4    

Sequence   -12       -1          10        21

Now we know the arithmetic sequence is -12, -1, 10, 21n terms

common difference of an arithmetic sequence is represented as difference of nth term and (n-1)th term.

Therefore common difference d = -1 - (-12) = -1 +12 = 11

common difference 11 is the right answer.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)