Let the nth term be given by the expression an²+bn+c.
We can write A: -7=a+b+c B: -6=4a+2b+c C: -3=9a+3b+c
D: B-A: 1=3a+b
E: C-B: 3=5a+b
E-Dm 2=2a, a=1, b=1-3=-2, c=-7-1+2=-6.
So the expression for the nth term is n²-2n-6.
Put n=4: 16-8-6=2 which fits the sequence.
Put n=5: 25-10-6=9 which also fits the sequence.
So the nth term is
Answer:
0.405 or 40.5%
Step-by-step explanation:
Let event A=having a periodontal disease
event B=having a heart attack
we are given
P(A)=P(having a periodontal disease)=0.30
P(B)=P(having a heart attack)=0.15
P(A/B)=P(have a periodontal disease/have a heart attack)=0.81
P(B/A)=P(have a heart attack/have a periodontal disease)=?
P(A/B)=P(A∩B)/P(B)
P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215
P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405
There is 40.5% probability that if someone has periodontal disease will have a heart attack.
35x=245
so you would divide both sides by 35
x=7
so it would take her 7 weeks or 1 month and 3 weeks to pay her friend back
Brainliest please
<u>Answer:</u>
The correct answer option is: 4.
<u>Step-by-step explanation:</u>
We are given the following two functions and we are to find the value of 
:
Finding 
:
So, 
