Answer:
<h3> sum of the roots:
</h3><h3> product of the roots:
</h3><h3>
Step-by-step explanation:</h3>
From Vieta's formulas applied to quadratic polynomial we have:
if 
then
sum of roots: 
product of the roots: 
Separate it into two different shapes
Answer: A) .1587
Step-by-step explanation:
Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.
i.e. 
and 
Let x denotes the amount of soda in any can.
Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.
Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =
![P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587](https://tex.z-dn.net/?f=P%28x%3E12.50%29%3D1-P%28x%5Cleq12.50%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B12.50-12.30%7D%7B0.20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-0.8413%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20z-table%7D%5D%5C%5C%5C%5C%3D0.1587)
Hence, the required probability= A) 0.1587
<u>The simple random </u><u>sample</u><u> is </u><u>Cherryport</u><u>, Dallhoise, </u><u>Foxwood</u><u>, and </u><u>Sapphire</u><u>.</u>
What is the meaning of probability in math?
- Probability is simply how likely something is to happen.
- Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
- The analysis of events governed by probability is called statistics.
Three Types of Probability
- Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
- Relative Frequency Definition
- Subjective Probability.
the list of random digits from left to right, starting at the beginning of the list.
74803 12009 45287 71753 98230 66419 84533 11793 04951 20597 11384
The simple random sample is Cherryport, Dallhoise, Foxwood, and Sapphire.
Learn more about probability
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Answer:
y=-9x-1
Step-by-step explanation:
since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1
