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Ymorist [56]
3 years ago
6

You're on a train that's moving forward at 50 mph. You throw a ball in the direction that the train is moving. Relative to you a

nd the train, the ball leaves your hand travelling at 20 mph.From the point of view of someone standing alongside the tracks, how fast is the ball moving?
Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

Velocity =  70mph

Step-by-step explanation:

Given

Train = 50mph

Ball = 20mph

Required

How fast is the ball seem to be moving?

This question illustrates relative velocity;

Since the ball and the train moves in the same direction, the required velocity relative to the person standing behind is:

Velocity =  Train + Ball

i.e. we add both velocities

Velocity =  50mph + 20mph

Velocity =  70mph

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Scorpion4ik [409]

Answer:

x+[1+4+0]and {1×2}

Step-by-step explanation:

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6 0
3 years ago
Expand (x-2) (x-1). Must be in polynomial form.
Ludmilka [50]
To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:

We have two terms: (x - 2)(x - 1)

We should first multiply the First two terms of each term in order to complete the F stage:

(x)*(x) = x^{2}

So then, we take the two outer terms and multiply them together to complete the O stage:

(x)*(-1) = -x

So far we have two things that we have calculated; at the end of the FOIL process we will have four.

To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:

(-2)*(x) = -2x

Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:

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Now that we have our four terms, let us add them together and combine like terms:

x^{2}  + (-x) + (-2x) + 2

Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:

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So now that we have our terms completed, we can combine into one polynomial equation:

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6 0
3 years ago
A consumer organization estimates that over a​ 1-year period 20​% of cars will need to be repaired​ once, 5​% will need repairs​
gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

<u>a) Neither will need repair:</u>

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

<u>b) Both will need repair:</u>

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

<u>c) At least one car will need repair</u>

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74)  = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0
3 years ago
A student made a list of questions to gather data about a local movie theater. She will ask a sample of her classmates to answer
Wewaii [24]

Answer: A D E

Step-by-step explanation:

3 0
2 years ago
What set of order pairs is a function?
Elza [17]
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Btw you need to add an image so we can see which the order pairs
7 0
3 years ago
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