86.17 hours over the course of 30 days would be 2.87 hours a day.
The possible outcomes of a random experiment and the probability of each outcome is called "a Probability Distribution."
<h3>What is a Probability Distribution?</h3>
A probability is a statistical formula that indicates all of the potential values and probability distributions for a random variable within a specified range.
Some characteristics regarding the Probability Distribution are-
- The range will be bounded by the minimum and greatest possible values, but the precise location of the possible value just on probability distribution relies on a number of factors.
- These variables include the mean (average), standard deviation, skewness, & kurtosis of the distribution.
- Although other regularly used probability distributions exist, the normal distribution, called "bell curve," is perhaps the most common.
- Typically, the technique of generating data for a phenomenon will influence its probability distribution. This is known as the probability density function.
- Likelihood distributions can also be used to generate cumulative distribution functions (CDFs), that cumulatively build up the probability of occurrences and always begin at zero and end at 100%.
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![\frac{cost}{pound(s)} \: \frac{11.25}{1.24} \: \frac{x}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcost%7D%7Bpound%28s%29%7D%20%20%5C%3A%20%20%5Cfrac%7B11.25%7D%7B1.24%7D%20%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B1%7D%20)
About $9.07 per pound of cheese.
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the solution to the given synthetic division will be expressed as ![(2x^2 - 6x + 7) + \frac{9}{x-5}](https://tex.z-dn.net/?f=%282x%5E2%20-%206x%20%2B%207%29%20%2B%20%5Cfrac%7B9%7D%7Bx-5%7D)
<h3>Synthetic division of a polynomial</h3>
According to the given question, we are to divide (2x³ – 16x² + 37x – 26) by (x - 5)
2x^2 - 6x + 7
x - 5 | 2x³– 16x² + 37x – 26
2x³ - 10x²
__________
-6x² +37x
-6x² +30x
_______________
7x - 26
7x - 35
______________
9 - Remainder
Hence the solution to the given synthetic division will be expressed as:
![P(x) = Q(x) + \frac{R(x)}{D(x)} \\(2x^3 -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}](https://tex.z-dn.net/?f=P%28x%29%20%3D%20Q%28x%29%20%2B%20%20%5Cfrac%7BR%28x%29%7D%7BD%28x%29%7D%20%5C%5C%282x%5E3%20%20-16x%5E2%20%2B%2037x%20-%2026%20%3D%20%282x%5E2%20-%206x%20%2B%207%29%20%2B%20%5Cfrac%7B9%7D%7Bx-5%7D)
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Answer:
![y=5.5x+79.5](https://tex.z-dn.net/?f=y%3D5.5x%2B79.5)
Step-by-step explanation:
Let y represent the sumo wrestler's weight (in kilograms) after x months.
When he started his diet, he weighed 79.5 kilograms, this means x = 0 months, y = 79.5 kg. So, y-intercept is at point (0, 79.5).
He gained weight at a rate of 5.5 kilograms per month, so the slope of the linear function is 5.5.
Hence the equation of the linear function in the slope-intercept form is
![y=5.5x+79.5](https://tex.z-dn.net/?f=y%3D5.5x%2B79.5)
The graph of this function is attached.