Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
Answer:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter
represent the average ocurrence rate per unit of time
For this case we know that 
And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:

And we want this probability:

And if we use the pmf we got:
Answer:
384
Step-by-step explanation:
64*6=384
Hope it helped!
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = 
![= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-5-2%7D%7B3-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-5-2%7D%7B3%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-7%7D%7B9%7D%5C%5C)
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])

2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = ![\frac{0 - 3}{2-[-1]}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%203%7D%7B2-%5B-1%5D%7D)

m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Answer:
x = 6
Step-by-step explanation:
8 - 2 = 6
7(8 - 2) = 7(6)
7x6 = 42, so
x = 6 is the correct answer