30 points 2 questions

question 1

while bowling with friends, brandy rolls a strike in 2 out of 10 frames. what is the experimental probability that brandy will roll a strike in the first frame of the next game? enter your answer as a simplified fraction.

the experimental probability that brandy will roll a strike in the first frame of the next game is

question 2

ben is greeting customers at a music store. of the first 20 people he sees enter the store, 3 are wearing jackets and 17 are not. what is the experimental probability that the next person to enter the store will be wearing a jacket? enter your answer as a simplified fraction.

the experimental probability that the next person to enter the store will be wearing a jacket is

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

here's a poem i finished a while ago. i hope you like it and that it inspires you.

isn't it a pentagon? sense [3 (triangle) + 4 (rectangle)] - 2 (triangle and rectangle connected) = 5 (pentagon)