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FinnZ [79.3K]
4 years ago
7

A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s2.What is the cart's mass

Mathematics
1 answer:
VARVARA [1.3K]4 years ago
8 0
Remember that Force= mass*acceleration.
Plug in the known values

25 = m* 5

Divide both sides by 5
5= m

Final answer: The mass is 5 kg
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Two paths each of width 4m run across the middle of a rectangular field 24m long and 16m wide. Calculate the area of the paths.​
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Answer:

272cm2

Step-by-step explanation:

4m×2=8

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8m×24m=272cm2

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What is 0.1 repeating as a fraction​
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Step-by-step explanation:

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3 years ago
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

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.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

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

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

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3 years ago
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I would think it would be 200km before rob caught up with him?
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