A continuous variable<span> is a </span>variable<span> whose value is obtained by measuring. A </span>random variable<span> is a</span>variable<span> whose value is a numerical outcome of a</span>random<span> phenomenon. A </span>discrete random variable<span> X has a countable number of possible values. Example: Let X represent the sum of two dice</span>
Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=> ![\[c=2+\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D2%2B%5Cfrac%7B1%7D%7B2%7D%5C%5D)
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
Answer:
(-1/4)(2x +5y)
Step-by-step explanation:
Multiply and divide by -1/4:
Answer:
-1x + -1
Step-by-step explanation:
(-6x+3)+(5x-4)
(-6x+3)+(5x-4)
-1x + -1
Answer: the probability is 0.25
Step-by-step explanation:
We have 10 numbers:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Of those, the odd ones are:
1, 3, 5, 7, 9
So we have 5 odd numbers.
The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:
p = 5/10 = 0.5
For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.
The probability of spining an odd number both times, then is the joint probability for two times this same event:
P = (5/10)(5/10) = 0.5*0.5 = 0.25
or 25% in percent form
