Answer:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
Answer:
The answer is 6=-7 which is no solution
Step-by-step explanation:
We check the following points
1. The order does not matters
2. No repetition
3. we cannot choose all the available choices. we need to select only 4
If order does not matters then we use combination
Formula is nCr = 
We choose 4 from 9
So 9C4 = 
= 
= 126 ways
The lengths of the sides of the rectangles are;
a. (2•x + 3) and (x + 2)
b. (6•x + 2) and (x + 1)
c. (x + (2 + √3)) and (x + (2-√3))
<h3>Which method can be used to find the side lengths of the rectangles?</h3>
The given functions are presented as follows;
a. 2•x² + 7•x + 6
By factoring of the above function we have;
2•x² + 7•x + 6 = (2•x + 3) × (x + 2)
The lengths of the sides of the rectangle are therefore;
b. 6•x² + 7•x + 2
The above function can be factored as follows;
6•x² + 7•x + 2 = (6•x + 2) × (x + 1)
The rectangle side lengths are;
c. x² + 4•x + 1
Using the quadratic formula, the above function can be factored to give;
x² + 4•x + 1 = (x + (2 + √3)) × (x + (2-√3))
The sides of the rectangle are therefore;
- (x + (2 + √3)) and (x + (2-√3))
Learn more about factoring quadratic equations here:
brainly.com/question/2254293
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