Answer:
Option (2)
Step-by-step explanation:
x = 1 is represented by a solid point on a number line.
x > 1 is represented by an arrow starting from x = 1 towards infinity
If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.
From the options given,
Arrow mentioned in Option (2) will be the correct representation of the inequality.
Answer:
$4.55
Step-by-step explanation:
7% of $65 = $4.55
Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: is the square of , and is the square of
So, we can factor the expression as
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms: