Answer:
15,600 meters
Step-by-step explanation:
there are 3600 seconds in an hour. if you divide that by 15 you get 240. multiply 65 by 240 (which is every 15 seconds) and you get 15,600
Answer:
The missing probability is, P (X = 7) = 0.24.
Step-by-step explanation:
The complete question is:
A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of information. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)).
What is the missing probability P(X=7)? Your answer should include the second decimal place.
X = # information | probability:
1 | 0.0
2 | 0.02
3 | 0.04
4 | 0.07
5 | 0.15
6 | 0.18
7 | ?
8 | 0.14
9 | 0.11
10 | 0.05
Solution:
The sum of the probabilities of all events of an experiment is always 1.
![\sum\limits^{n}_{i=1}{P(X=x_{i})}=1](https://tex.z-dn.net/?f=%5Csum%5Climits%5E%7Bn%7D_%7Bi%3D1%7D%7BP%28X%3Dx_%7Bi%7D%29%7D%3D1)
Use the above theorem to compute the missing probability.
![\sum\limits^{n}_{i=1}{P(X=i)}=1](https://tex.z-dn.net/?f=%5Csum%5Climits%5E%7Bn%7D_%7Bi%3D1%7D%7BP%28X%3Di%29%7D%3D1)
![P(X=1)+P(X=2)+P(X=3)+...+P(X=10)=1\\0.00+0.02+0.04+0.07+0.15+0.18+a+0.14+0.11+0.05=1\\0.76+a=1\\a=1-0.76\\a=0.24](https://tex.z-dn.net/?f=P%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%2B...%2BP%28X%3D10%29%3D1%5C%5C0.00%2B0.02%2B0.04%2B0.07%2B0.15%2B0.18%2Ba%2B0.14%2B0.11%2B0.05%3D1%5C%5C0.76%2Ba%3D1%5C%5Ca%3D1-0.76%5C%5Ca%3D0.24)
Thus, the missing probability is, P (X = 7) = 0.24.
Given:
The area of a rectangle = ![30m^{11}n^{5}](https://tex.z-dn.net/?f=30m%5E%7B11%7Dn%5E%7B5%7D)
Length of the rectangle = ![6m^4n^2](https://tex.z-dn.net/?f=6m%5E4n%5E2)
To find:
The width of the rectangle.
Solution:
Area of a rectangle is:
![A=l\times w](https://tex.z-dn.net/?f=A%3Dl%5Ctimes%20w)
Where, l is the length and w is the width of the rectangle.
Divide both sides by l.
![\dfrac{A}{l}=w](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7Bl%7D%3Dw)
![w=\dfrac{A}{l}](https://tex.z-dn.net/?f=w%3D%5Cdfrac%7BA%7D%7Bl%7D)
On substituting the given values, we get
![w=\dfrac{30m^{11}n^{5}}{6m^4n^2}](https://tex.z-dn.net/?f=w%3D%5Cdfrac%7B30m%5E%7B11%7Dn%5E%7B5%7D%7D%7B6m%5E4n%5E2%7D)
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
![w=5m^{7}n^{3}](https://tex.z-dn.net/?f=w%3D5m%5E%7B7%7Dn%5E%7B3%7D)
Therefore, the correct option is A.
Answer:
37.7
Step-by-step explanation:
Hypotenuse is the longest side