2/3 - 1/2 would equal 1/6.
Answer:
D. Dilation and reflection
Step-by-step explanation:
There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.
Answer:
what do you want us to do? Explain clearly
Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
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.
In this problem we have that:
![n = 30, p = 0.2](https://tex.z-dn.net/?f=n%20%3D%2030%2C%20p%20%3D%200.2)
We want P(X = 12). 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 = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064](https://tex.z-dn.net/?f=P%28X%20%3D%2012%29%20%3D%20C_%7B30%2C12%7D.%280.2%29%5E%7B12%7D.%280.8%29%5E%7B18%7D%20%3D%200.0064)
P(X = 12) = 0.0064.
Answer: 3125.
Step-by-step explanation: 0.5x10 is 5, then 5 to the fifth power is 3125 :)
Mark me as the brainliest if you think my answer was helpful!