Answer:
probability that a randomly selected page that contains only text will contain no typos that is
P(x=0) =
= 0.923
Step-by-step explanation:
<u>Poisson distribution</u>:-
Explanation of the Poisson distribution :-
The Poisson distribution can be derived as a limiting case of the binomial
distribution under the conditions that
i) p is very small
ii) n is very large
ii) λ = np (say finite
The probability of 'r' successes = ![\frac{e^{-\alpha }\alpha^r }{r!}](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7B-%5Calpha%20%7D%5Calpha%5Er%20%20%7D%7Br%21%7D)
Given the average number of typos ∝ = 0.08 per page.
probability that a randomly selected page that contains only text will contain no typos that is = ![p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}](https://tex.z-dn.net/?f=p%28x%3D0%29%20%3D%20%5Cfrac%7Be%5E%7B-0.08%20%7D%5C%28-0.08%29%5E0%20%20%7D%7B0%21%7D)
After calculation P(x=0) =
= 0.923
probability that a randomly selected page that contains only text will contain no typos =0.923
Perimeter = 2w + 2l
2(8x+2) + 2(6x + 6)
Use distributive property
16x + 4 + 12x + 12
Combine like terms
28x + 16
Solution: 28x + 16
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
Answer:
7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30= 49
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
![x(t)+y(t)=k,\text{ where $k$ is some constant}](https://tex.z-dn.net/?f=x%28t%29%2By%28t%29%3Dk%2C%5Ctext%7B%20where%20%24k%24%20is%20some%20constant%7D)
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />
<em />
Remember that the derivative of a constant is always 0. Therefore:
![\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdx%7D%7Bdt%7D%2B%5Cfrac%7Bdy%7D%7Bdt%7D%3D0)
And by subtracting dy/dt from both sides, we acquire:
![\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdx%7D%7Bdt%7D%3D-%5Cfrac%7Bdy%7D%7Bdt%7D)
Hence, our answer is B.