I rolled a number cube 150 times. The outcome of 3 occured 20 times. What is the EXPERIMENTAL probability of rolling a 3.

2/15

Step-by-step explanation:

Experimental probability is the chance of getting the desired outcone out of the maximum possible outcome. In this case, the outcome desired is for rolling 3 which is 20 but the total possible outcome is 150. The theoritical probability would be 1/6 for six sided but the experimental probability is 20/150

When simplified, 20/150=2/15

Therefore, experimental probability is 2/15

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1