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 :-

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 = 
Now, the probability that a given class period runs between 50.25 and 50.5 minutes will be :-

Hence, the required probability =0.025
Answer:
{-infinity, infinity}
no solution
Step-by-step explanation:
|x| +15≥4
Subtract 15 from each side
|x| +15-15≥4-15
|x| ≥-11
This is always true so x can be and real number
{-infinity, infinity}
-2|5x+3| = 8
Divide by -2
-2/-2|5x+3| = 8/-2
|5x+3| = -4
This can never happen because absolute values are zero or greater
no solution
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.