Answer:
(2,5)
Step-by-step explanation:
Keep in mind that clockwise is towards the right in this problem. We are moving the point from quadrant 2 to quadrant 1.
Draw a picture for yourself to help this make sense. Put the point, then just turn your whole paper 90 degrees to the right. This is your new point!
Answer:
B. The system has no solution.
Step-by-step explanation:
[12x + 7y] = (20)
[12x + 7y] = (11)
The numbers in (parentheses) are both different while the numbers in the [brackets] are the same.
Yes it is a rational number
Answer:
![a=-8\\ \\b=0.1](https://tex.z-dn.net/?f=a%3D-8%5C%5C%20%5C%5Cb%3D0.1)
Step-by-step explanation:
Use formula
![Z=\dfrac{X-\mu}{\sigma},](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%2C)
where
= new score
= old score
= the mean
= standard deviation
In your case,
![\mu=80\\ \\\sigma=10](https://tex.z-dn.net/?f=%5Cmu%3D80%5C%5C%20%5C%5C%5Csigma%3D10)
Hence,
![Z=\dfrac{X-80}{10}\\ \\Z=\dfrac{X}{10}-\dfrac{80}{10}\\ \\Z=0.1X-8\\ \\Z=-8+0.1X](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7BX-80%7D%7B10%7D%5C%5C%20%5C%5CZ%3D%5Cdfrac%7BX%7D%7B10%7D-%5Cdfrac%7B80%7D%7B10%7D%5C%5C%20%5C%5CZ%3D0.1X-8%5C%5C%20%5C%5CZ%3D-8%2B0.1X)
So,
![a=-8\\ \\b=0.1](https://tex.z-dn.net/?f=a%3D-8%5C%5C%20%5C%5Cb%3D0.1)
Answer:
Step-by-step explanation:
Total marble = 4+6+7 = 17
Number of green = 7
Prob(1st green) = 7/17
Now their are 6 green left and 16 marble
Prob(2nd green) = 6/16 = 3/8
Now their are 5 green left and 15 marble
Prob(3rd green) = 5/15 = 1/3
Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3
= 7/(17×8)
= 7/136