![S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}](https://tex.z-dn.net/?f=S%5Cfrac%7BO%7D%7BH%7D%20C%5Cfrac%7BA%7D%7BH%7D%20T%5Cfrac%7BO%7D%7BA%7D)
![Sin=\frac{Opposite}{Hypotenuse} Cos=\frac{Adjacent}{Hypotenuse} Tan=\frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=Sin%3D%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%20Cos%3D%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20Tan%3D%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
7) You have the opposite. You need the adjacent.
![Tan=\frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=Tan%3D%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
![Tan57=\frac{12}{x}](https://tex.z-dn.net/?f=Tan57%3D%5Cfrac%7B12%7D%7Bx%7D)
![x=\frac{12}{Tan57}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B12%7D%7BTan57%7D)
x = 7.79289... =
<h2>7.8</h2><h2 />
8) You have the hypotenuse. You need the Opposite.
![Sin=\frac{x}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%3D%5Cfrac%7Bx%7D%7BHypotenuse%7D)
![Sin37=\frac{x}{13}](https://tex.z-dn.net/?f=Sin37%3D%5Cfrac%7Bx%7D%7B13%7D)
x = sin37 × 13
x = 7.8235... =
<h2>7.8</h2><h2 />
9) You have the hypotenuse. You need the opposite.
![Sin=\frac{x}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%3D%5Cfrac%7Bx%7D%7BHypotenuse%7D)
![Sin59=\frac{x}{11}](https://tex.z-dn.net/?f=Sin59%3D%5Cfrac%7Bx%7D%7B11%7D)
x = sin59 × 11
x = 9.4288.... =
<h2>9.4</h2><h2 />
10) You have the hypotenuse. You need the opposite.
![Sin=\frac{x}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%3D%5Cfrac%7Bx%7D%7BHypotenuse%7D)
![Sin53=\frac{x}{11}](https://tex.z-dn.net/?f=Sin53%3D%5Cfrac%7Bx%7D%7B11%7D)
x = sin53 × 11
x = 8.7459.... =
<h2>8.7</h2>
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
![\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m](https://tex.z-dn.net/?f=%5CRightarrow%2023%5E%3Dx%5E2%2B10%5E2%5C%5C%5CRightarrow%20529-100%3Dx%5E2%5C%5C%5CRightarrow%20x%5E2%3D429%5C%5C%5C%5C%5CRightarrow%20x%3D%5Csqrt%7B429%7D%3D20.71%5C%20m)
Distance between Poles is 20.71 m
Approaches 0 as x approaches infinity or C
Answer:
255.75 feet or 255
feet
Step-by-step explanation:
area of a rectangle / length = breadth
1023 / 4 = 255.75 or 255
feet
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:
![SE= \frac{0.08}{\sqrt{24}}= 0.0163](https://tex.z-dn.net/?f=%20SE%3D%20%5Cfrac%7B0.08%7D%7B%5Csqrt%7B24%7D%7D%3D%200.0163)
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 heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:
![SE= \frac{0.08}{\sqrt{24}}= 0.0163](https://tex.z-dn.net/?f=%20SE%3D%20%5Cfrac%7B0.08%7D%7B%5Csqrt%7B24%7D%7D%3D%200.0163)