Answer:
(-1,2)
Step-by-step explanation:
Write out the system in a matrix
3 5 7
2(6 -1 -8 ) Multiply row two by five and add to row one.
1 0 -1 Multiply row 1 by -6 and add it to row two.
6 -1 -8
1 0 -1
0 -1 -2 Multiply bottom row by -1
1 0 -1
0 1 2
x=-1, y=2
Answer:
Use the slope formula to find the slope m.
m = 5
/4
Step-by-step explanation:
Answer:
The range in which 90% of class will fall will be (40.2,89.67)
Step-by-step explanation:
Since the grades are normally distributed to obtain most possible range of grades obtained by the class we shall find the range of marks that give an area of 90% distributed equally about mean
These numbers shall correspond to
![Z_{1}=-1.6449\\\\Z_{2}=1.6449](https://tex.z-dn.net/?f=Z_%7B1%7D%3D-1.6449%5C%5C%5C%5CZ_%7B2%7D%3D1.6449)
![Z_{1}=\frac{X-\bar{X}}{\sigma }\\\\X_{1}=\sigma Z_{1}+\bar{X}\\\\\therefore X_{1}=-1.6449\times 15+65\\X_{1}=40.32\\Similarly\\\\X_{2}=\sigma Z_{2}+\bar{X}\\\\X_{2}=1.6449\times 15+65\\X_{2}=89.67](https://tex.z-dn.net/?f=Z_%7B1%7D%3D%5Cfrac%7BX-%5Cbar%7BX%7D%7D%7B%5Csigma%20%7D%5C%5C%5C%5CX_%7B1%7D%3D%5Csigma%20Z_%7B1%7D%2B%5Cbar%7BX%7D%5C%5C%5C%5C%5Ctherefore%20X_%7B1%7D%3D-1.6449%5Ctimes%2015%2B65%5C%5CX_%7B1%7D%3D40.32%5C%5CSimilarly%5C%5C%5C%5CX_%7B2%7D%3D%5Csigma%20Z_%7B2%7D%2B%5Cbar%7BX%7D%5C%5C%5C%5CX_%7B2%7D%3D1.6449%5Ctimes%2015%2B65%5C%5CX_%7B2%7D%3D89.67)
Answer: 54.2%
Step-by-step explanation:
The percent mark-up refers to how much higher you sell a product than what you bought it for expressed as a percentage of what you bought it for.
In this case, the woman bought it for $120 and sold it for $65 more.
Cost = $120
Markup = $65
Markup percentage = 65 / 120 * 100%
= 54.2%