It's a simultaneous equation:
Steps:
1.Number the equations..
a+b=77 -1
a-b=13 -2
2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together
a + b = 77
+ + +
a (-b) = 13
Which gives;
2a = 90
Then solve to find a:
2a=90
a= 90/2
a=45
3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.
a + b = 77
(45) + b = 77
b=77-45
b=32
4.Solution
a=45
b=32
Answer:
The simplified form of the given expression is (2x-1).
Step-by-step explanation:
Consider the given expression is
![\ln e^{2x-1}](https://tex.z-dn.net/?f=%5Cln%20e%5E%7B2x-1%7D)
According to the Inverse Properties of In
![\ln e^x=x](https://tex.z-dn.net/?f=%5Cln%20e%5Ex%3Dx)
In the given expression the power of e is (2x-1).
Using the Inverse Properties of In, we get
![2x-1](https://tex.z-dn.net/?f=2x-1)
Therefore, the simplified form of the given expression is (2x-1).
Answer:
1, -1 , -3 ,3
Step-by-step explanation:
Answer:
![\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D)
Step-by-step explanation:
Probability refers to chance of happening of some event.
Conditional probability is the probability of an event A, given that another event B has already occurred.
denote the two boxes.
In box
:
No. of black balls = 1
No. of white balls = 1
In box
:
No. of black balls = 2
No. of white balls = 1
Let B, W denote black and white marble.
So, probability that either of the boxes
is chosen is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Probability that a black ball is chosen from box
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Probability that a black ball is chosen from box ![B_2=\frac{2}{3}](https://tex.z-dn.net/?f=B_2%3D%5Cfrac%7B2%7D%7B3%7D)
To find:probability that the marble is black
Solution:
Probability that the marble is black = ![\frac{1}{2}(\frac{1}{2} )+\frac{1}{2}(\frac{2}{3})=\frac{1}{4}+\frac{1}{3}=\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B1%7D%7B2%7D%20%29%2B%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B2%7D%7B3%7D%29%3D%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B7%7D%7B12%7D)
2/10 x 2/10 = 4/10 that can be a expression sorry if im wrong