Answer:
y=-x+2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.
Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.
We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!
So our final equation in slope-intercept form will be y=-x+2
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 1500, \sigma = 300](https://tex.z-dn.net/?f=%5Cmu%20%3D%201500%2C%20%5Csigma%20%3D%20300)
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.96 = \frac{X - 1500}{300}](https://tex.z-dn.net/?f=-1.96%20%3D%20%5Cfrac%7BX%20-%201500%7D%7B300%7D)
![X - 1500 = -1.96*300](https://tex.z-dn.net/?f=X%20-%201500%20%3D%20-1.96%2A300)
![X = 912](https://tex.z-dn.net/?f=X%20%3D%20912)
The limit that 97.5% of the data points will be above is $912.
748....to get the answer you need to do 700/0.04%/365= 748
The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%
Answer:
Think its 3 but don't enter it, wait for someone else