expenses is greater in Jan and Feb
Jan −85.6 Loss
Feb −162.44 Loss
Mar 0
June 306.77 Gain
July 301.5 Gain
Aug 337.88 Gain
Answer:
![X \sim N(\mu= 70, \sigma=15)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%3D%2070%2C%20%5Csigma%3D15%29)
From this info and using the empirical rule we know that we will have about 68% of the scores between:
![\mu -\sigma = 70-15=55](https://tex.z-dn.net/?f=%20%5Cmu%20-%5Csigma%20%3D%2070-15%3D55)
![\mu +\sigma = 70+15=85](https://tex.z-dn.net/?f=%20%5Cmu%20%2B%5Csigma%20%3D%2070%2B15%3D85)
95 % of the scores between:
![\mu -2\sigma = 70-2*15=40](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2070-2%2A15%3D40)
![\mu +2\sigma = 70+2*15=100](https://tex.z-dn.net/?f=%20%5Cmu%20%2B2%5Csigma%20%3D%2070%2B2%2A15%3D100)
And 99.7% of the values between
![\mu -3\sigma = 70-3*15=25](https://tex.z-dn.net/?f=%20%5Cmu%20-3%5Csigma%20%3D%2070-3%2A15%3D25)
![\mu +3\sigma = 70+3*15=115](https://tex.z-dn.net/?f=%20%5Cmu%20%2B3%5Csigma%20%3D%2070%2B3%2A15%3D115)
Step-by-step explanation:
For this problem we can define the random variable of interest as "the student grades" and we know that the distribution for X is given by:
![X \sim N(\mu= 70, \sigma=15)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%3D%2070%2C%20%5Csigma%3D15%29)
From this info and using the empirical rule we know that we will have about 68% of the scores between:
![\mu -\sigma = 70-15=55](https://tex.z-dn.net/?f=%20%5Cmu%20-%5Csigma%20%3D%2070-15%3D55)
![\mu +\sigma = 70+15=85](https://tex.z-dn.net/?f=%20%5Cmu%20%2B%5Csigma%20%3D%2070%2B15%3D85)
95 % of the scores between:
![\mu -2\sigma = 70-2*15=40](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2070-2%2A15%3D40)
![\mu +2\sigma = 70+2*15=100](https://tex.z-dn.net/?f=%20%5Cmu%20%2B2%5Csigma%20%3D%2070%2B2%2A15%3D100)
And 99.7% of the values between
![\mu -3\sigma = 70-3*15=25](https://tex.z-dn.net/?f=%20%5Cmu%20-3%5Csigma%20%3D%2070-3%2A15%3D25)
![\mu +3\sigma = 70+3*15=115](https://tex.z-dn.net/?f=%20%5Cmu%20%2B3%5Csigma%20%3D%2070%2B3%2A15%3D115)
Answer: mean= 23.27 median=25
Step-by-step explanation:
y=2x. Remember the equation is y=mx+b, M is slope and b is the y intercept. You'll need to know that for a lot of things in math going forward
Answer:
The midpoint is (-1,-1)
This is in quadrant III
Step-by-step explanation:
The x coordinate of the midpoint is
(-4+2)/2 = -2/2 = -1
The y coordinate of the midpoint is
(1+-3)/2 = -2/2 = -1
The midpoint is (-1,-1)
The quadrant with both negative points is quadrant III