Answer:
vertical asymptote at x = 7
horizontal asymptote at y = 6
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.
solve:
x
−
7
=
0
⇒
x
=
7 is the asymptote
Horizontal asymptotes occur as
lim
,f(x)→
c(a constant)
x
→
±
∞
divide terms on numerator/denominator by x
f
(
x
)
=
5/
x
+6=
5
/x
+
6
x/
x
−
7
/x 1
−
7/
x
as
x
±
∞
,
f
(
x
)
→
0
+6
1
−
0
⇒
y
=
6 is the asymptote
graph{((5)/(x-7))+6 [-20, 20, -10, 10]}
Answer:
The probability the man was hit by a Blue Cab taxi is 41%.
Step-by-step explanation:
In terms of bayesian probability, we have to calculate P(B|Wr), or, given the witness saw the right colour, the taxi is from the Blue Cab company.
According to Bayes
P(B|Wr) = P(Wr|B)*P(B)/P(Wr)
P(Wr|B) = 0,8
P(B) = 0.15
To calculate P(Wr), or the probability of the witness of guessing right, we have to consider the two possibilities:
1) The taxi is from Blue Cab (B) and the witness is right (Wr).
2) The taxi is from Green Cab (G) and the witness is wrong (Ww).
The total probality of guessing right is
P(B)*P(Wr) + P(G)*P(Ww) = 0.15*0.8 + 0.85*0.2 = 0.29
So we can calculate:
P(B|Wr) = P(Wr|B)*P(B)/P(Wr) = 0.8*0.15/0.29 = 0.41
The probability the man was hit by a Blue Cab taxi is 41%.
Answer:
55%
Step-by-step explanation:
11/20 =
11 ÷ 20 =
0.55 =
0.55 × 100/100 =
0.55 × 100% =
Answer:
Given system of equations:
To solve by substitution, equate the equations and solve for x:
Therefore, the x-values of the solution are 
and 
.
To find the y-values of the solution, substitute the found values of x into the functions:
Therefore, the solutions to the given system of equations are:
and 
Answer:
238
Step-by-step explanation:
