Answer:
(-5/6)x - 1
Step-by-step explanation:
the equation is given by: y = mx + b
m = slope
b = y intercept
m = -5/6
y intercept = -1
f(x) = (-5/6)x - 1
![- 3 \geqslant x > 6](https://tex.z-dn.net/?f=%20-%203%20%5Cgeqslant%20x%20%3E%206%20)
Step-by-step explanation:
....
Answer:
![X \sim Unif(a=284.7, b = 310.6)](https://tex.z-dn.net/?f=%20X%20%5Csim%20Unif%28a%3D284.7%2C%20b%20%3D%20310.6%29)
And the density function is given by:
![f(x) = \frac{1}{b-a}= \frac{1}{310.6-284.7}= 0.0386, 284.7 \leq x \leq 310.6](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bb-a%7D%3D%20%5Cfrac%7B1%7D%7B310.6-284.7%7D%3D%200.0386%2C%20284.7%20%5Cleq%20x%20%5Cleq%20310.6)
And the cumulative distribution function is given by:
![F(X) = \frac{x-a}{b-a}= \frac{x-284.7}{25.9}](https://tex.z-dn.net/?f=%20F%28X%29%20%3D%20%5Cfrac%7Bx-a%7D%7Bb-a%7D%3D%20%5Cfrac%7Bx-284.7%7D%7B25.9%7D)
And we want the following probability:
![P(X>300)](https://tex.z-dn.net/?f=%20P%28X%3E300%29)
And we can use the complement rule and we got:
![P(X>300)= 1-P(X](https://tex.z-dn.net/?f=P%28X%3E300%29%3D%201-P%28X%3C300%29%20%3D%201-F%28300%29%20%3D%201-%5Cfrac%7B300-284.7%7D%7B25.9%7D%3D%201-0.5907%3D%200.4093)
Step-by-step explanation:
Let X the random variable that represent the driving distance and we know that the distribution for X is given by:
![X \sim Unif(a=284.7, b = 310.6)](https://tex.z-dn.net/?f=%20X%20%5Csim%20Unif%28a%3D284.7%2C%20b%20%3D%20310.6%29)
And the density function is given by:
![f(x) = \frac{1}{b-a}= \frac{1}{310.6-284.7}= 0.0386, 284.7 \leq x \leq 310.6](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bb-a%7D%3D%20%5Cfrac%7B1%7D%7B310.6-284.7%7D%3D%200.0386%2C%20284.7%20%5Cleq%20x%20%5Cleq%20310.6)
And the cumulative distribution function is given by:
![F(X) = \frac{x-a}{b-a}= \frac{x-284.7}{25.9}](https://tex.z-dn.net/?f=%20F%28X%29%20%3D%20%5Cfrac%7Bx-a%7D%7Bb-a%7D%3D%20%5Cfrac%7Bx-284.7%7D%7B25.9%7D)
And we want the following probability:
![P(X>300)](https://tex.z-dn.net/?f=%20P%28X%3E300%29)
And we can use the complement rule and we got:
![P(X>300)= 1-P(X](https://tex.z-dn.net/?f=P%28X%3E300%29%3D%201-P%28X%3C300%29%20%3D%201-F%28300%29%20%3D%201-%5Cfrac%7B300-284.7%7D%7B25.9%7D%3D%201-0.5907%3D%200.4093)
And that would be the final answer for this case.
Answer:
A
Step-by-step explanation:
Is ur answer !!
Let the points be (p,q) and (r,s).
The slope is (s-q)/(r-p). The equation is y-s=(s-q)(x-r)/(r-p).
This can be written (y-s)(r-p)=(s-q)(x-r).
y(r-p)-s(r-p)=x(s-q)-r(s-q); y(r-p)=x(s-q)+rs-ps-rs+qr; y=x(s-q)/(r-p)+(qr-ps)/(r-p).
Note that r cannot be equal to p in this standard form. If r=p we have a vertical line x=p.
If q=s we have the horizontal line y=q.