Answer:
The equation for rational function for given asymptotes is
f(x)=(-4x^2-6)/{(x-3)(x+3)}
Step-by-step explanation:
Given:
vertical Asymptotes at x=3 and x=-3 and a horizontal asymptote at
y=-4 i.e parallel to x axis.
To find:
equation of a rational function i.e function in form p/q
Solution;
the equation should be in form of p/q
Numerator :denominator.
Consider f(x)=g(x)/h(x)
as vertical asymptote are x=-3 and x=3
denominator becomes, (x-3) and (x+3)
for horizontal asymptote to exist there should have same degrees in numerator and denominator which of '2'
when g(x) will be degree '2' with -4 as coefficient and dont have any real.
zero.
By horizontal asymptote will be (-4x^2 -6)
The rational function is given by
f(x)=g(x)/h(x)
={(-4x^2-6)/(x-3)(x+3)}.
Answer:
d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.
Step-by-step explanation:
Confidence interval:
x% confidence
Of a sample
Between a and b.
Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.
In this question:
I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.
Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.
Answer:
m= 450 - (5*n)
Step-by-step explanation:
m is the money left
n is the days
We have the following data set:
2,7,15,3,12,9,15,8,3,10
The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.
2,3,3,7,8,9,10,12,15,15
Then,
Mean is represented by the following expression:
Population variance formula looks like this:
Then, substituting:
For the standard deviation:
![\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20s%3D%5Csqrt%5B%5D%7B%5Cfrac%7B%5Csum%20%5E%7B%7D_%7B%7D%28x-%5Cmu%29%5E2%7D%7BN%7D%7D%20%5C%5C%20s%3D4.521%20%5Cend%7Bgathered%7D)
Answer:
Php2040.38
Step-by-step explanation:
Given
--- Principal
--- Rate
--- Time
--- monthly
Required
Determine the amount at the end of two years
This is calculated as:
So, we have:
<em>Hence, the final amount is: Php2040.38</em>
