Answer:
Domain [-5,3)
Range [0,2]
Step-by-step explanation:
Domain is where the function exists for the x's.
The graph starts at x=-5 and ends at x=3. The graph includes what happened at x=-5 but not at x=3. Since there are no breaks in the graph, the graph exists for x values bigger that or equal to -5 but less than 3.
The domain is [-5,3) in interval notation.
Range is very similar except it is for the y values. So the graph starts at y=0 and stops at y=2. It includes something happening at both and there are no breaks between y=0 and y=2.
The range in interval notation is [0,2].
Answer:0.29
Step-by-step explanation:
An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6
For poisson distribution,
P(x=r) = (e^-u×u^r)/r!
probability that four cell phones will be reported stolen tomorrow=
P(x=4)= (e^-6×6^4)/4!
= (0.00248×1296)/4×3×2×1
= 3.21408/24=
0.13392
P(x=5)= (e^-6×6^5)/5!
= (0.00248×7776)/5×4×3×2×1
= 19.28448/120
= 0.1607
probability that four or five cell phones will be reported stolen tomorrow
= P(x=4) + P(x=5)
= 0.13392 + 0.1607
= 0.294624
Approximately 0.29
Answer:
g(x)=x-3
Problem:
If f(x+3)=x+6 find inverse of function f(x).
Step-by-step explanation:
Let u=x+3, then x=u-3.
Make this substitution into our given:
f(u)=(u-3)+6
Simplify:
f(u)=u+(-3+6)
f(u)=u+3
Now let's find the inverse of f(u)...
Or if you prefer rename the variable...
f(x)=x+3
Now, we are going to solve y=x+3 for x.
Subtracting 3 on both sides gives: y-3=x.
Interchange x and y: x-3=y.
So the inverse of f(x)=x+3 is g(x)=x-3.