Answer:
AB - XY ≅ 0
Step-by-step explanation:
since AB is identical to XY, AB - XY would be approximately 0
Answer:
-4=n
Step-by-step explanation:
-24=6n
-24/6=n
-4=n
Answer:
first off where is the photo
Answer: b) 6
Step-by-step explanation:
Given : The illuminance of a surface varies inversely with the square of its distance from the light source.
i.e. for d distance and l luminance , we have
, where k is constant. (1)
If the illuminance of a surface is 120 lumens per square meter when its distance from a certain light source is 6 meters.
From (1), we have
(2)
For the distance (d) corresponds to the illuminance to 30 lumens per square meter , we have
![d^2\times 30=k](https://tex.z-dn.net/?f=d%5E2%5Ctimes%2030%3Dk)
Put value of k , we get
![d^2\times 30=4320\\\\\Rightarrow\ d^2=\dfrac{4320}{30}=144\\\\\Rightarrow\ d^2=144\\\\\Rightarrow\ d= 12](https://tex.z-dn.net/?f=d%5E2%5Ctimes%2030%3D4320%5C%5C%5C%5C%5CRightarrow%5C%20d%5E2%3D%5Cdfrac%7B4320%7D%7B30%7D%3D144%5C%5C%5C%5C%5CRightarrow%5C%20d%5E2%3D144%5C%5C%5C%5C%5CRightarrow%5C%20d%3D%2012)
Then , the number of meters should the distance of the surface from the source be increased= 12 meters- 6 meters = 6 meters.
Answer:
p(b = 1) = 0.4096 = 40.96%
Step-by-step explanation:
For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
20% are blue
This means that ![p = 0.2](https://tex.z-dn.net/?f=p%20%3D%200.2)
Sample of 4
This means that
.
Which of the following would find p(b=1)?
P(X = 1). So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B4%2C1%7D.%280.2%29%5E%7B1%7D.%280.8%29%5E%7B3%7D%20%3D%200.4096)
So, p(b = 1) = 0.4096 = 40.96%