Answer: 1- quadrant 1 or top right
2- quadrant 4 or bottom right
3-quadrant 3 or bottom left
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.
We have the equation:
![9x^2-12x+4=0](https://tex.z-dn.net/?f=9x%5E2-12x%2B4%3D0)
so:
![a=9\qquad b=-12\qquad c=4](https://tex.z-dn.net/?f=a%3D9%5Cqquad%20b%3D-12%5Cqquad%20c%3D4)
and:
![\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}](https://tex.z-dn.net/?f=%5CDelta%3Db%5E2-4ac%3D%28-12%29%5E2-4%5Ccdot9%5Ccdot4%3D144-144%3D%5Cboxed%7B0%7D)
This equation has one solution.
Answer:
64
Step-by-step explanation:
Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST
Answer:
Step-by-step explanation:
We want to construct a 99% confidence interval for the population mean
Number of sample, n = 60
Mean, u = $150
Standard deviation, s = $36
For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
150 ± 2.58 × 36/√60
= 150 ± 2.58 × 4.65
= 150 ± 11.997
The lower end of the confidence interval is 150 - 11.997 = 138.003
The upper end of the confidence interval is 150 + 11.997 =161.997
Therefore, with 99% confidence interval, the population mean is between $138.003 and $161.997