<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.)
</span><span>* Subtract (3) from (1)
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is x= 3 and y= -7
Hope I helped you :)
Substitute in the points. It doesn't matter if they ar pe variables or not, since the variable b is used already in the equation, making it possible to find.
Substitute in the y value for the y in the equation and do the same for the x.
-3=2b+b
-3=3b
-1=b
b is -1.
Hope this helps!
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Answer:
a) 3 kilograms
b) 5.7 kilograms
Step-by-step explanation:
Z-score:
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 question:
![\mu = 3.89, \sigma = 0.68](https://tex.z-dn.net/?f=%5Cmu%20%3D%203.89%2C%20%5Csigma%20%3D%200.68)
We have to find X for both values of Z.
a) z = -1.35
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.35 = \frac{X - 3.89}{0.68}](https://tex.z-dn.net/?f=-1.35%20%3D%20%5Cfrac%7BX%20-%203.89%7D%7B0.68%7D)
![X - 3.89 = -1.35*0.68](https://tex.z-dn.net/?f=X%20-%203.89%20%3D%20-1.35%2A0.68)
![X = 3](https://tex.z-dn.net/?f=X%20%3D%203)
3 kilograms
b) z = 2.64
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.64 = \frac{X - 3.89}{0.68}](https://tex.z-dn.net/?f=2.64%20%3D%20%5Cfrac%7BX%20-%203.89%7D%7B0.68%7D)
![X - 3.89 = 2.64*0.68](https://tex.z-dn.net/?f=X%20-%203.89%20%3D%202.64%2A0.68)
![X = 5.7](https://tex.z-dn.net/?f=X%20%3D%205.7)
5.7 kilograms