Answer:
Step-by-step explanation:
Given
Function; 
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of:
The slope intercept of an equation is in form;
<em>Where m represent the slope</em>
Comparing 
to ;
We'll have that
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
Substitute
Divide both sides by -2
The point slope form of a line is;
Where 
and
becomes
Open the inner bracket
<em>Hence, the point slope form of the perpendicular line is: </em>
<em /><em />
since the numerator is x² + 5x - 3, and therefore has a degree of 2, whilst the denominator, 4x¹ - 1, has a degree of 1, therefore, there's no horizontal asymptote.
recall, we only get a horizontal asymptote if the denominator's expression degree is equals or greater than that of the numerator's.
Answer:
Between 38.42 and 49.1.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 43.76, standard deviation of 2.67.
Between what two values will approximately 95% of the amounts be?
By the Empirical Rule, within 2 standard deviations of the mean. So
43.76 - 2*2.67 = 38.42
43.76 + 2*2.67 = 49.1
Between 38.42 and 49.1.
