3<span>pink
5red
4yellow
12 total roses.
Probability of selecting a pink rose would be 3/12 or 1/4.
p(pink)=3/12=1/4
The complement of that would be 1-1/4=3/4.
P(NOT pink)=1-1/4=3/4
So theres a 3/4 chance that she WON'T randomly select a pink rose.
Answer=3/4</span>
<h2>
Step-by-step explanation:</h2>
Interest, is an additional money paid for borrowing money. it could be simple or compound interest.
simple interest= p×T×R/100
when interest is compounded annually
F= p(1+r)^t
F= future value
p= principal
r= rate
t= time
compound interest is calculated based on the initial and accumulated interest.
<h2>interest Linda earns</h2><h3>fist year</h3>
F= p(n+r)^n
F= 10000(1+0.02)^1
F= 10000×1.02= $10200
interest= 10200-10000
interest = $200
second year
F = 10200(1+0.02)^1
F=10200×1.02= $10404
Interest= 10404-10200
interest= $204
third year
F= 10404(1+0.02)^1
F= 10404(1.02)
F = $10612.08
interest= 10612.08-10404
interest= $208.08
<h2>Bob's interest</h2><h2>I= p×t×R/100</h2>
first year
I=10000×1×0.02/100
interest= $2
second year
I= 10000×2×0.02/100
interest= $4
for the third year
I =10000×3 × 0.02/100
interest= $6
<h2>check answer above for final computation</h2>
Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=
Answer:
I might be wrong but i looked it over, and I think the answer can be B
Step-by-step explanation:
I dont know for sure but i think it might be.
Answer:

Step-by-step explanation:
we know that
To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.
we will proceed to verify each case to determine the solution of the problem
<u>case A)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case B)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case C)</u> ![f(x)=x^{5}, g(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B5%7D%2C%20g%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
fifth root both members
![y=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B5%5D%7Bx%7D)
Let

![f^{-1}(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
therefore
f(x) and g(x) are inverse functions
<u>case D)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y





Let



therefore
f(x) and g(x) is not a pair of inverse functions