Answer:
It is a vertical line at x = 0
Step-by-step explanation:
An equation of a line in a slope-intercept form is y=mx+b
So with the coordinates given, we must find the slope (m), and the y-intercept (b).
In order to find the slope using these coordinates,
we have to use the formula (y2-y1)/(x2-x2).
So the slope would be -3 - 4 / 0.
Because the denominator is 0, the slope would be undefined.
It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.
PQ is the tangent, therefore you can use a theorem: The arc measure is double the amount of the angle the tangent makes.
So: 62/2=31
Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable <em>X</em> describes a finite number of occurrences of an event in a fixed time interval.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.1.
The probability mass function of <em>X</em> is:
![P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7Be%5E%7B-7.1%7D%287.1%29%5E%7Bx%7D%7D%7Bx%21%7D%3Bx%3D0%2C1%2C2%2C3...)
Compute the probability of less than 2 customers arriving as follows:
![P(X](https://tex.z-dn.net/?f=P%28X%3C2%29%3DP%28X%3D0%29%2BP%28X%3D1%29)
![=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067](https://tex.z-dn.net/?f=%3D%5Cfrac%7Be%5E%7B-7.1%7D%287.1%29%5E%7B0%7D%7D%7B0%21%7D%2B%5Cfrac%7Be%5E%7B-7.1%7D%287.1%29%5E%7B1%7D%7D%7B1%21%7D%5C%5C%5C%5C%3D0.00083%2B0.00586%5C%5C%5C%5C%3D0.00669%5C%5C%5C%5C%5Capprox%200.0067)
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
Answer:
D. 6.3 in^3
Step-by-step explanation:
V= 1/3 (3.14)(r^2)(h)
V= 1/3 (3.14) (1^2)(6)
V=6.3 in^3