Answer: $0.35 which is the same as 35 cents
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Work Shown:
3 cookies = $1.05
3/3 cookies = $1.05/3
1 cookie = $0.35 = 35 cents
The Poisson distribution with a mean of 6.0 is an appropriate model.
<h3>What is mean?</h3>
- In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
- It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
- There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
- Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.
Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.
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The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
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Answer: Polynomial
Step-by-step explanation:
