There is a 60% that your math teacher will give a pop quiz tonight and, due to the fact that you have a soccer game, there is an 85% chance you will not be able to do your math homework. you decide that you will do the homework if the probability of there being a pop quiz and your not doing your homework is greater than 60%. what do you do and why?

Step-by-step explanation:

Let A be the event that your math teacher will give a pop quiz tonight

and B the event that you have a soccer game

GIven that P(A) = 60% = 0.60

P(B)=85% =0.85

We have A and B are independent since pop quiz and soccer game have no association

Hence P(AB) = P(A) P(B)

THus probability for both pop quiz and soccer game = 0,60(0.85)

=0.51

Obviously 0.51 <0.60

So you need not do the homework

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.