Rename the number 8 hundreds 4 tens = 84

The function `f(x)=5*(4/5)^x` is an exponential function with a base of 4/5. Exponential functions with a base less than 1 decay, so the graph of this function will approach zero as x increases.

To graph the function, we can start by plotting a few key points. The following table shows some key points for the function `f(x)=5*(4/5)^x`:

| x | f(x) |

|---|---|

| 0 | 5 |

| 1 | 4 |

| 2 | 3.2 |

| 3 | 2.56 |

| 4 | 2.048 |

We can then plot these points on a graph and connect them with a smooth curve.

The graph shows that the function decays exponentially as x increases. The function also approaches zero as x increases.

Learn more about exponential function here:

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Step-by-step explanation:

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The question doesn't require any specific probabilities, but I'm adding my own calculations to make it easier for you to solve your own problem

Answer:

Questions added and answered below

Step-by-step explanation:

Venn Diagram

When we have different sets, some of them belong only to one set, some belong to more than one, some don't belong to any of them. This situation can be graphically represented by the Venn Diagrams.

Let's analyze the data presented in the problem and fill up the numbers into our Venn Diagram. First, we must use the most relevant data: there are 60 people in both the choir and the band. This number must be in the common space between both sets in the diagram (center zone, purple).

We know there are 110 people in the choir, 60 of which were already placed in the intersection zone, so we must place 110-60=50 people into the blue zone, belonging to C but not to B.

We are also told that 240 people are in a band, 60 of which were already placed in the intersection zone, so we must place 240-60=180 people into the red zone, belonging to B but not to C.

Finally, we add the elements in all three zones to get all the people who are in the choir or in the band, and we get 50+60+180=290. Since we have 450 people in the school, there are 450-290=160 people who are not in the choir nor in the band.

The question doesn't ask for a particular probability, so I'm filling up that gap with some interesting probability calculations like

a) What is the probability of selecting at random one person who is in the band but not in the choir?

The answer is calculated as

b) What is the probability of randomly selecting one person who belongs only to one group?

We look for people who are in only one of the sets, they are 50+180=230 people, so the probability is

b) What is the probability of selecting at random one person who doesn't belong to the choir?

We must add the number of people outside of the set C, that is 180+160=340