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leonid [27]
3 years ago
8

Which is the graph of f(x) = 100(0.7)x?

Mathematics
2 answers:
Verdich [7]3 years ago
5 0
Where are the choices?

Darina [25.2K]3 years ago
5 0

Answer:

See the attachment below.                            

Step-by-step explanation:

Given : The function f(x) = 100(0.7)^x

To find : The graph of the given function

Solution :

Let y=f(x)

y = 100(0.7)^x

Put in x = 0 we get,

y = 100(0.7)^x

y = 100(0.7)^0

y = 100(1)

y = 100

So (x,y) = (0,100) is one point on this function curve

Put in x = 2 we get

y = 100(0.7)^x

y = 100(0.7)^2

y = 100(0.49)

y = 49

So (x,y) = (2,49) is another point on this curve

For the graph we can see the attached figure.

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Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798

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