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kipiarov [429]
3 years ago
15

Which of the following equations represent a line that has a slope of –5 and that passes through (2, –6)? Check all of the boxes

that apply.
y + 6 = –5(x – 2)

y – 2 = –5(x + 6)

y = –5x + 4

y = –5x – 28
Mathematics
1 answer:
anastassius [24]3 years ago
3 0
Y+6= -5(x-2)
y= -5x+4
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17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Police estimate that​ 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so p = 0.75

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This is P(X = 6).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780

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Answer:

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Step-by-step explanation:

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