Answer:
The correct answer is y=-0.004x^2+0.415x-0.546
Step-by-step explanation:
Fiddling on Desmos Graphing Calculator got me the answer.
16368 ft!! Hope this helps you!
Answer: 0.025
Step-by-step explanation:
The probability density function for a random variable that is uniformly distributed on interval [a,b] is given by :-
![f(x)=\dfrac{1}{b-a}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B1%7D%7Bb-a%7D)
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes.
Let x be the random variable that denotes the lengths of her classes.
Then, the probability density function = ![f(x)=\dfrac{1}{55-45}=\dfrac{1}{10}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B1%7D%7B55-45%7D%3D%5Cdfrac%7B1%7D%7B10%7D)
Now, the probability that a given class period runs between 50.25 and 50.5 minutes will be :-
![P(50.25](https://tex.z-dn.net/?f=P%2850.25%3Cx%3C50.5%29%3D%5Cint%5E%7B50.5%7D_%7B50.25%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B50.5%7D_%7B50.25%7D%5C%20%5Cdfrac%7B1%7D%7B10%7D%5C%20dx%5C%5C%5C%5C%3D%20%5Cdfrac%7B1%7D%7B10%7D%5Bx%5D%5E%7B50.5%7D_%7B50.25%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%5B50.5-50.25%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%5B0.25%5D%3D0.025)
Hence, the required probability =0.025
Answer:
20
Step-by-step explanation:
19+76+12+53+23=183$
she had 325
325-183= 140
therefor 140$- 120$ would leave Tasha with 20
Add and convert it into a mixed fraction