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Karo-lina-s [1.5K]
3 years ago
15

A car is traveling at when the driver sees an accident m ahead and slams on the brakes. What constant deceleration is required t

o stop the car in time to avoid a pileup?
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

Deceleration = \frac{v^2}{2a} units/sec^2

Step-by-step explanation:

Given that a car is traveling at when the driver sees an accident m ahead and slams on the brakes.

i.e. if he is coming with speed v units/sec say, he has to make his velocity 0.

Distance travelled = m units

Initial velocity = v

Final velocity =0

Use the third formula as

v^2=u^2+2as\\0=v^2+2am\\a =\frac{-v^2}{2a}

So he has to apply an acceleration of \frac{-v^2}{2a} units/sec^2 to stop the car in time to avoid a pile up.

Deceleration = \frac{v^2}{2a} units/sec^2

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Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
I need some help on this question please
elena-s [515]

Answer:

15

Step-by-step explanation:

Ok so first you need to know how to calculate the volume of a cylinder

I will put the formula here:  V=πr2h

Since pi is equal to 3.14 as said in the problem we can simply divide 282.6 by pi, the radius and 2

That is equal to 282.6/3.14*3*2

A little calculation shows that, the answer is 15

Hope this helps :)

5 0
3 years ago
United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res
Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find P(X < 18), with \pi = 0.0995, n = 200. We can use a binomial probability calculator, and we find that:

P(X < 18) = 0.2927.

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0
2 years ago
. Office productivity is relatively low when the employees feel no stress about their work or job security. However, high levels
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Answer:

Step-by-step explanation:

The plot chart below best represents the relationship between stress and productivity in the workplace. As seen in the chart both high and low levels of stress equate to very low productivity levels for employees in the workplace. While just enough stress creates very productive employees. This tends to be because employees are worried about the possibility of losing their jobs so they work hard in order to keep the job but are not so worried that they think it will happen tomorrow and become burned out.

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3 years ago
Sarah has a bag of jolly ranchers. There are 15 grape, 20 blue raspberry, 10 watermelon, 8 cherry, and 7 green apple jolly ranch
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A) 15/33 B) 18/33 C) 26/33 if you have to use words use most likely, probably, etc
3 0
2 years ago
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