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Semenov [28]
3 years ago
5

If a ball is given an acceleration of 3.0 meters/second2 while being pushed with a force of 0.75 newtons, what is the mass of th

e ball?
Mathematics
2 answers:
Over [174]3 years ago
8 0

The applicable relation between force, mass, and acceleration is ...

... F = <em>m</em>a

Fill in the given values and solve for the mass.

... 0.75 N = <em>m</em>·3 m/s²

... (0.75 kg·m/s)/(3 m/s²) = <em>m</em> = 0.25 kg

The mass of the ball is 0.25 kg.

Yuliya22 [10]3 years ago
6 0

Answer:

M=f/a

m = .75/3 = .25

m=.25

Step-by-step explanation:


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How many unit cubes will fit in a rectangular prism with a volume of 15 cubic units?
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4 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

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0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used 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.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

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P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

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P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

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3 years ago
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