A equals 4 and
B equals 1
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
The perimeter of a rectangle is =2 (w+L)
Answer: the interval of heights that represents the middle 95% of male heights from this school is between 66 inches and 76 inches.
Step-by-step explanation:
Let x be a random variable representing the heights of males from this school. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 71 inches
Standard deviation = 2.5 inches
We want to determine where 95% of x values lies. This is 2 standard deviations from the mean Therefore,
2 standard deviations = 2 × 2.5 = 5 inches
The heights are
71 - 5 = 66 inches and
71 + 5 = 76 inches
The equation of the perpendicular line drawn by Leo is 
. Option C is the correct answer.
<h3>How to determine the equation of a line?</h3>
A line is drawn perpendicular to the line shown in the image. The perpendicular line passes through the coordinate point (F,G).
The slope of the line from the graph is-
Therefore, the slope of the perpendicular line is 
.
Also, it is being given that Leo's line is passing through the coordinate point .
So, the equation of the Leo's line is-
Thus, the equation of the perpendicular line drawn by Leo is .
Learn more about the equation of line here- brainly.com/question/20632687
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