Answer:
−8a2−3b+76
Step-by-step explanation:
=13a2+−3b+−21a2+76
Combine Like Terms:
=13a2+−3b+−21a2+76
=(13a2+−21a2)+(−3b)+(76)
=−8a2+−3b+76
Just use the stats given and put them into the fomula
Answer:

Step-by-step explanation:
This is a conditional probability exercise.
Let's name the events :
I : ''A person is infected''
NI : ''A person is not infected''
PT : ''The test is positive''
NT : ''The test is negative''
The conditional probability equation is :
Given two events A and B :
P(A/B) = P(A ∩ B) / P(B)

P(A/B) is the probability of the event A given that the event B happened
P(A ∩ B) is the probability of the event (A ∩ B)
(A ∩ B) is the event where A and B happened at the same time
In the exercise :



We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=P(PT∩ I)/P(I)
0.904=P(PT∩ I)/0.025
P(PT∩ I)=0.904 x 0.025
P(PT∩ I) = 0.0226
P(PT/NI)=0.041
P(PT/NI)=P(PT∩ NI)/P(NI)
0.041=P(PT∩ NI)/0.975
P(PT∩ NI) = 0.041 x 0.975
P(PT∩ NI) = 0.039975
P(PT) = P(PT∩ I)+P(PT∩ NI)
P(PT)= 0.0226 + 0.039975
P(PT) = 0.062575
P(I/PT) = P(PT∩I)/P(PT)

Answer:
(-1,4)
Step-by-step explanation:
mp=xi+xii/2,yi+yii/2
7+-9/2=-1
0+8/2=4
=(-1,4)
<span>1+3+5 = 9
72/9 = 8
1 x 8 = 8
3 x 8 = 24
5 x 8 = 40
</span><span>72 in a ratio of 1:3:5 = 8:24:40</span>