Hi<span>, Victoriasoto93p63zva!
To rewrite these equations in standard form you need to understand that standard form looks something like this Ax+By=C, now obviously there will be variations like </span>Ax-By=C or -Ax+By=C, etc..., but for these expressions, they would look like this:
<span>
1. -8y + 0x = 372. 14x </span>
+ 4y<span>
= -183. x + </span>
y =
<span>
4. 13x + 0y = -25
-</span><span>ASIAX</span><span> </span><span>Frequent Answerer</span>
Answer:
− x + 16y
Step-by-step explanation:
2x + 5y − 3x + 11y
= 2x + 5y + − 3x + 11y
Combine Like Terms:
= 2x + 5y + − 3x + 11y
= (2x + − 3x) + (5y + 11y)
= − x + 16y
Answer:
![P(disease/positivetest) = 0.36116](https://tex.z-dn.net/?f=P%28disease%2Fpositivetest%29%20%3D%200.36116)
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(B) >0](https://tex.z-dn.net/?f=P%28B%29%20%3E0)
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 :
![P(I)=0.025](https://tex.z-dn.net/?f=P%28I%29%3D0.025)
![P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975](https://tex.z-dn.net/?f=P%28NI%29%3D%201-P%28I%29%3D1-0.025%3D0.975%5C%5CP%28NI%29%3D0.975)
![P(PT/I)=0.904\\P(PT/NI)=0.041](https://tex.z-dn.net/?f=P%28PT%2FI%29%3D0.904%5C%5CP%28PT%2FNI%29%3D0.041)
We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)
![P(PT/I)=0.904](https://tex.z-dn.net/?f=P%28PT%2FI%29%3D0.904)
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)
![P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116](https://tex.z-dn.net/?f=P%28I%2FPT%29%3D%5Cfrac%7B0.0226%7D%7B0.062575%7D%20%5C%5CP%28I%2FPT%29%3D0.36116)
Answer:
the answer is D {-5, -13}
14f + 7
“Product” means multiplication, so we can assume 14 and f are being multiplied (14f.) Add that to 7, and you have an expression! Have a great day.