Answer: 1️⃣ 40
Step-by-step explanation:
<em>x - is the side of the square</em>
<em />
<em />
<em>Find the perimeter of the square.</em>
<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>
<em />
Answer:
8r.
Step-by-step explanation:
If we substitute 3 into all of these equations, we get
8(3) which equals 24
6(3) which equals 18
9(3) which equals 27
7(3) which equals 21
8r is the one that equals 24 when 3 is substituted.
Answer:
And we can find this probability using the complement rule and we got:
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 weights 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 using the complement rule and we got:
ANSWER
Vertical asymptote:
x=1
Horizontal asymptote:
y=1
EXPLANATION
The given rational function is
![h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%5Cfrac%7B%20%7B%28x%20%2B%201%29%7D%5E%7B2%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%201%20%7D%20)
![h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%5Cfrac%7B%20%7B%28x%20%2B%201%29%7D%5E%7B2%7D%20%7D%7B%20%28%7Bx%7D%20%20-%201%29%28x%20%2B%201%29%7D%20)
![h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%5Cfrac%7B%20%28x%20%2B%201%29%28x%20%2B%201%29%20%7D%7B%20%28%7Bx%7D%20%20-%201%29%28x%20%2B%201%29%7D%20)
![h(x) = \frac{ x + 1}{ {x} - 1}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%5Cfrac%7B%20x%20%2B%201%7D%7B%20%7Bx%7D%20%20-%201%7D%20)
The vertical asymptote occurs at
![{x} - 1 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%20-%201%20%3D%200)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
The vertical asymptotes is x=1
The degree of the numerator is the same as the degree of the denominator.
The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.
![y = \frac{1}{1}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B1%7D%20)
y=1