In a class of 25 students, 9 play an instrument and 18 play a sport. There are 3 students who do not play an instrument or a sport. What is the probability that a
student who plays an instrument also plays a sport?

0.2592

Step-by-step explanation:

This is conditional probability because the events are dependent on one another. You use multiplication rule 2(for dependent events) to solve this problem. The rule goes as follows: “When two events are dependent, the probability of both occurring is: p(A and B) = p(A) * p(B|A)” So all you would do is plug in. p(Sports and Instruments) = p(sports) * p(instruments)

p(Sports and Instruments) = (18/25) * (9/25) = 162/625 = 0.2592

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.

answer: x=3 and y=4

step-by-step explanation: