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kondor19780726 [428]
3 years ago
15

A sprinter ran a race in 11 seconds. What is the domain of this graph?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Domain is defined as the all possible values of the variable x for which the function is defined.

Now, for the given graph the x-axis represents the time in seconds.

So, we need to find all the possible values of time for which the distance is covered or for which the function is defined.

Given that : The sprinter ran a race in 11 seconds.

And the initial time is 0 seconds

So, The value of t lies between 0 to 11

Thus, Domain : All real numbers 0 to 11

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Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

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Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

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= \frac{12}{135}

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