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)
Your answer is
because the numbers raised to negative powers must be flipped over the divisor to become positive. Then, when multiplying 2 and z, you add their exponents.
Considering the scatter plot, the function that best fits the data is given by:
f(x) = 3x².
<h3>What is the function that best fits the data?</h3>
To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).
We have that:
- When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.
- The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.
Hence the function that best fits the data is given by:
f(x) = 3x².
More can be learned about scatter plots at brainly.com/question/22968877
#SPJ1
-4x+0y=-8
=> x=2
substitute 2 into either function for y
it will come out the same and u will have solution
Note, if slopes or coefficient of x are the same => no solution because lines are parallel
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Answer:
4 times the size
Step-by-step explanation:
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