9x-3x-5-3=2x-12
12x -8 =2x-12
-2x. -2x
10x. -8. =-12
+8. +8
10x. = -4
X = -0.4
Answer:
0.2109 or 21.09%
Step-by-step explanation:
In order to maintain the same price after two days, the stock must go up (U) on two days and go down (D) on two days, the sample space for this event is:
S={UUDD, UDUD, UDDU, DDUU, DUDU, DUUD}
There are 6 equally likely possible outcomes. The probability that the price of the stock will be the same as it is today is:
![P =6* (0.25*0.25*0.75*0.75)\\P=0.2109=21.09\%](https://tex.z-dn.net/?f=P%20%3D6%2A%20%280.25%2A0.25%2A0.75%2A0.75%29%5C%5CP%3D0.2109%3D21.09%5C%25)
The probability is 0.2109 or 21.09%.
Answer:
![\bar X = 100.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20100.4)
And we can calculate the deviations from each value like this:
![|101.5-100.4 |=1.1](https://tex.z-dn.net/?f=%20%7C101.5-100.4%20%7C%3D1.1)
![|98.7-100.4 |=1.7](https://tex.z-dn.net/?f=%20%7C98.7-100.4%20%7C%3D1.7)
![|95.4-100.4 |=5.0](https://tex.z-dn.net/?f=%20%7C95.4-100.4%20%7C%3D5.0)
![|92.3-100.4 |=8.1](https://tex.z-dn.net/?f=%20%7C92.3-100.4%20%7C%3D8.1)
![|109.8-100.4 |=9.4](https://tex.z-dn.net/?f=%20%7C109.8-100.4%20%7C%3D9.4)
![|104.7-100.4|=4.3](https://tex.z-dn.net/?f=%20%7C104.7-100.4%7C%3D4.3)
And the mean absolute deviation would be:
![MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93](https://tex.z-dn.net/?f=%20MAD%20%3D%5Cfrac%7B1.1%2B1.7%2B5.0%2B8.1%2B9.4%2B4.3%7D%7B6%7D%3D%204.93)
Step-by-step explanation:
For this case we have the following dataset given:
101.5 98.7 95.4 92.3 109.8 104.7
We can calculate the mean with the following formula:
![\bar X =\frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And replacing we got:
![\bar X = 100.4](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20100.4)
And we can calculate the deviations from each value like this:
![|101.5-100.4 |=1.1](https://tex.z-dn.net/?f=%20%7C101.5-100.4%20%7C%3D1.1)
![|98.7-100.4 |=1.7](https://tex.z-dn.net/?f=%20%7C98.7-100.4%20%7C%3D1.7)
![|95.4-100.4 |=5.0](https://tex.z-dn.net/?f=%20%7C95.4-100.4%20%7C%3D5.0)
![|92.3-100.4 |=8.1](https://tex.z-dn.net/?f=%20%7C92.3-100.4%20%7C%3D8.1)
![|109.8-100.4 |=9.4](https://tex.z-dn.net/?f=%20%7C109.8-100.4%20%7C%3D9.4)
![|104.7-100.4|=4.3](https://tex.z-dn.net/?f=%20%7C104.7-100.4%7C%3D4.3)
And the mean absolute deviation would be:
![MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93](https://tex.z-dn.net/?f=%20MAD%20%3D%5Cfrac%7B1.1%2B1.7%2B5.0%2B8.1%2B9.4%2B4.3%7D%7B6%7D%3D%204.93)
Answer:
4:5
Step-by-step explanation:
I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.
Tell me if I'm wrong :)
This is tricky but I worked out the answer is A