Answer:
![Perimeter = 21](https://tex.z-dn.net/?f=Perimeter%20%3D%2021)
Step-by-step explanation:
Given
![IJ = 10](https://tex.z-dn.net/?f=IJ%20%3D%2010)
![FH = 8](https://tex.z-dn.net/?f=FH%20%3D%208)
![GH =14](https://tex.z-dn.net/?f=GH%20%3D14)
Required
Calculate the perimeter of IJH
<em>See attachment for illustration</em>
From the attachment,
I = mid of FH.
So:
![HI = \frac{1}{2} * FH](https://tex.z-dn.net/?f=HI%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20FH)
![HI = \frac{1}{2} * 8](https://tex.z-dn.net/?f=HI%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%208)
![HI = 4](https://tex.z-dn.net/?f=HI%20%3D%204)
J = mid of GH.
So:
![HJ = \frac{1}{2} * GH](https://tex.z-dn.net/?f=HJ%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20GH)
![HJ = \frac{1}{2} * 14](https://tex.z-dn.net/?f=HJ%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%2014)
![HJ = 7](https://tex.z-dn.net/?f=HJ%20%3D%207)
Perimeter IJH is then calculated as:
![Perimeter = HI + HJ + IJ](https://tex.z-dn.net/?f=Perimeter%20%3D%20HI%20%2B%20HJ%20%2B%20IJ)
![Perimeter = 4 + 7 + 10](https://tex.z-dn.net/?f=Perimeter%20%3D%204%20%2B%207%20%2B%2010)
![Perimeter = 21](https://tex.z-dn.net/?f=Perimeter%20%3D%2021)
Answer:
Linear Function
Step-by-step explanation:
Since the "x" variable is not surrounded by aboslute brackets or is at a power of 2, but still has an x value, the function is a linear function.
Answer:
![P(X = 0) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%200.2)
![P(X = 1) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%200.2)
![P(X = 2) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%200.2)
![P(X = 3) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%200.2)
![P(X = 4) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%204%29%20%3D%200.2)
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
pmf of X.
Probability of each outcome, 0, 1, 2, 3 or 4 white balls drawn.
Before the trials, you are equally as likely to get the black ball in the 1st trial(0 white balls drawn) to the 5th trial(4 white balls drawn). So this is an uniform distribution with ![P(X = x) = \frac{1}{5} = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%3D%200.2)
Thus, the pmf is:
![P(X = 0) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%200.2)
![P(X = 1) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%200.2)
![P(X = 2) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%200.2)
![P(X = 3) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%200.2)
![P(X = 4) = 0.2](https://tex.z-dn.net/?f=P%28X%20%3D%204%29%20%3D%200.2)
Answer:
Sine of an angle =
opposite / hypotenuse
I this figure
AB is the opposite which is 12
BC is the hypotenuse which is 13
sine ∅ = 12/13
Therefore the sine ratio of the angle is
12/13
Hope this helps