Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
<em>Equation 1</em>
![-\frac{1}{2}x=3-y\\\\y=\frac{1}{2}x+3](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%3D3-y%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B2%7Dx%2B3)
<em>Equation 2</em>
<em>
</em>
<em> </em>
You can notice that the slope of the <em>Equation 1 </em>is:
![m_1=\frac{1}{2}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B1%7D%7B2%7D)
And the slope of the <em>Equation 2 </em>is:
Observev that
, then you can conclude that the lines are parallel and the System of equations has No solution.
When there is no solution the classification of the system of equations is: "Inconsistent".
<em> </em>
Answer:
points should be by y45 x60
Step-by-step explanation:
Answer: The probability that it will break down in the next 21 days is 0.777
Step-by-step explanation:
Let the random variable x represent
time between breakdowns of a generator
Given that mean = 14 days,
Decay parameter, m = 1/14
The probability density function for exponential distribution is expressed as
F(x) = me-mx
It becomes
f(x) = 1/14e-(x × 1/14)
P(X < x) = 1 - e- mx
The probability that it will break down in the next 21 days is expressed as
P(x ≤ 21) = P(x < 21)
Therefore,
P(x < 21) = 1 - e-(1/14 × 21)
= 1 - e-1.5
= 1 - 0.223 = 0.777
P(x ≤ 21) = 0.777
Divide the amount of money earned by the amount she got from every house.
780 / 5 = 156
156 out of 278 houses payed money. Subtract to see how many did not pay money
278 - 156 = 122
Hannah did not collect money from 122 of the houses in her neighborhood.
For this you would use the cosine function because you have an angle, the hypotenuse, and the adjacent side
cos(x)=adjacent/hypotenuse
cos(18)=x/25 (cross multiply)
25*cos(18)=x
x=23.78 cm rounded
Hope this helps