Answer: 0.025
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].
The probability density function :-
Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-
![\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025](https://tex.z-dn.net/?f=%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%5Cdfrac%7B1%7D%7B10%7D%7Cx%7C%5E%7B50.5%7D_%7B50.25%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%5C%20%5B50.5-50.25%5D%3D%5Cdfrac%7B1%7D%7B10%7D%5Ctimes%280.25%29%3D0.025)
Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025
Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025
y = a ( x - h)^2 + v
a is positive when the parabola opens up and negative when it opens down.
Answer:$6/Yard
Step-by-step explanation:
You make it into an algebraic expression, 2.5x=15.
Then, you divide both sides by 2.5
2.5x=15, 2.5x/2.5 =x, 15/2.5=6.
x=6.
x represents the amount of dollars per yard.
<h3>
It is equivalent to 2a+2b</h3>
We use the distributive property.
Multiply the outer term 2 by each term inside ('a' and b)
2 times a = 2a
2 times b = 2b
We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.
Answer:
- (Parentheses) P.E.M.D.A.S
- Exponents(^)
- Multiply(X)
- Division(/)
- Addition(+)
- Subtraction(-)
Step-by-step explanation:
First simplify (20/4-2+1)=
9+5x2(4)=
then simplify again
14x8=112
simplify one more time and you get your answer.
122 is your answer.
So to answer the real question start with parentheses first then work and simplify the equation.
<u><em>Please give brainliest if you found this answer to be helpful!</em></u>
