Answer:
x= -5
Step-by-step explanation:
The solution of f(x) = g(x) is where both functions intercept
they intercept in x = -5
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:
111
Step-by-step explanation:
if angle 8 and angle 4 are equal, then angle 8 and angle 5 are equal
so... angle 5= angle 4
Answer:
15x 12y=489
Step-by-step explanation:
In the problem it says that x is the number of adult shirts which 15 and y is the number for a youth shirt. So it would be 15x 12y. Hope this helped! :D
The linear function has an equation
y = -3x + 6
The equation of the circle is
<span>y2 + x2 = 16
Substituting
(-3x + 6)^2 + x^2 = 16
This quadratic equation has real solutions which mean that the line and the circle will intersect
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