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Luda [366]
3 years ago
9

Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

If f had an inverse, then its graph would be the reflection of the graph of f about the line y = x. The graph of f and its reflection about y = x are drawn below. Note that the reflected graph does not pass the vertical line test, so it is not the graph of a function.

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First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate o
victus00 [196]

Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

<u>a) Calculate the probability of an arriving not using the ATM because the line is full</u>

p ( not using the ATM ) = 0.19

<u>b) probability that a car will not be able to use the ATM machine immediately on arrival</u>

P ( n > 0 ) = 1 - Po

                 = 1 - 0.0311 = 0.9689

<u>c) Average number of cars in the lane </u>

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution

4 0
3 years ago
Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re
WINSTONCH [101]

Q: How much did Jay have to pay excluding his share of the insurance premium?

A: $1800+$200 = $2000

Q: How much did Jay's company pay for his insurance premium?

A: $700. If Jay's $350 is 1/3 of the premium , then Jay's company pays 2*$350=$700 as rest of his premium.

Q: Jay paid 10% and the plan paid 90% beyond the deductible. How much did Jay's insurance company pay total?

A: Jay's insurance company paid $16200. Given that Jay paid $1800 beyond his deductible of $200 (and that is 10% of the actual cost) means that his plan (insurance company) paid 90%=9*$1800=$16200.

Q: How much did Jay have to pay total, including his share of the premium?

A: Jay paid $2350. He paid $200 deductible + $1800 beyond deductible + $350 premium



8 0
3 years ago
Read 2 more answers
What is the volume of this cylinder?
dalvyx [7]

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: V=\pi r^{2} h, where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72 cubic meters

Hope this helps!

5 0
3 years ago
Read 2 more answers
A rock climber's elevation above sea level changed −8212 feet in 214 minutes as she descended. What was the climber's average ch
stich3 [128]
Elevation per minute

elevationchange=-8212
timechange=214

elevation per minute=-8212/214=
-8132/214-80/214=
-38-40/107=
-38 and 40/107

answer is -38 and 40/107 ft per minute
6 0
4 years ago
Limθ→π/4 (cosθ−sinθ​)/(θ– π/4)​
Rzqust [24]

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} }  ...limits L'Hopital's Rule\\=  \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 }   ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2}  \\= - \sqrt{2}

5 0
3 years ago
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