Answer:
![\sf\longmapsto \: x = 10](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%2010)
Step-by-step explanation:
![\sf\longmapsto \: 2x = 22 - 2](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%202x%20%3D%2022%20-%202)
![\sf\longmapsto \: 2x = 20](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%202x%20%3D%2020)
![\sf\longmapsto \: x = \frac{20}{2}](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B20%7D%7B2%7D%20)
![\sf\longmapsto \: x = 10](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%2010)
You do
5x2/3
5x2 /3
10/3
3 1/3 is your answer.
Answer:
4.464 ml
Step-by-step explanation:
Given that:
mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml
The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34
![z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5C-1.34%3D%5Cfrac%7Bx-5%7D%7B0.4%7D%5C%5C%5C%5Cx-5%3D-0.536%5C%5C%5C%5Cx%3D5-0.536%5C%5C%5C%5Cx%3D4.464)
The dye amount that represents the 9th percentile of the distribution is 4.464 ml
Answer:
The squared term is 1/25
Step-by-step explanation:
The parabola equation in the vertex form is
where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives
Solving for a