Consider the below figure attached with this question.
Given:
![-4x+6>18](https://tex.z-dn.net/?f=-4x%2B6%3E18)
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
![-4x+6>18](https://tex.z-dn.net/?f=-4x%2B6%3E18)
Subtracting 6 from both sides, we get
![-4x>18-6](https://tex.z-dn.net/?f=-4x%3E18-6)
![-4x>12](https://tex.z-dn.net/?f=-4x%3E12)
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
![x](https://tex.z-dn.net/?f=x%3C%5Cdfrac%7B12%7D%7B-4%7D)
![x](https://tex.z-dn.net/?f=x%3C-3)
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
Answer:
-0.0526
Step-by-step explanation:
Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).
Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is
and probability of failure is
. For a win, X takes value 35 and for a loss X takes value -1. So the model is,
![P(X=35) = \frac{1}{38}](https://tex.z-dn.net/?f=%20P%28X%3D35%29%20%3D%20%5Cfrac%7B1%7D%7B38%7D%20)
![P(X=-1) = \frac{37}{38}](https://tex.z-dn.net/?f=%20P%28X%3D-1%29%20%3D%20%5Cfrac%7B37%7D%7B38%7D%20)
![P(X=i) = 0 \;if\; i \neq 38, i\neq -1](https://tex.z-dn.net/?f=%20P%28X%3Di%29%20%3D%200%20%5C%3Bif%5C%3B%20i%20%5Cneq%2038%2C%20i%5Cneq%20-1%20)
The mean for one bet is ![E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum%20xP%28X%3Dx%29%20%3D%2035%5Ctimes%5Cfrac%7B1%7D%7B38%7D%20-%201%5Ctimes%5Cfrac%7B37%7D%7B38%7D%20%3D%20-0.0526%20)
Answer:
64
Step-by-step explanation:
Complementary angles have to add up to 90.
90-26=64.
Answer:
Step-by-step explanation:
If you would like to order the following numbers from least to greatest, you can do this using the following steps:
<span>- 40, 1250, - 6.44, 0.2
</span>- 40 < - 6.44 < 0.2 < 1250
The correct result would be <span>- 40 < - 6.44 < 0.2 < 1250.</span>