Answer:
a=2
b=6
Step-by-step explanation:
Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:
![f(x) =\frac{1}{4}=\frac{1}{b-a}\\b-a = 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7Bb-a%7D%5C%5Cb-a%20%3D%204)
If P(X > 4) = 1/2, then:
![\frac{1}{2} = 1-(\frac{x-a}{b-a})=1-(\frac{4-a}{4})\\a-4+4 =\frac{1}{2}*4\\ a=2\\b=4+a\\b=6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%3D%201-%28%5Cfrac%7Bx-a%7D%7Bb-a%7D%29%3D1-%28%5Cfrac%7B4-a%7D%7B4%7D%29%5C%5Ca-4%2B4%20%3D%5Cfrac%7B1%7D%7B2%7D%2A4%5C%5C%20a%3D2%5C%5Cb%3D4%2Ba%5C%5Cb%3D6)
The values for a and b are, respectively, 2 and 6.
This is a function where:
x - time in minutes;
y = f ( x ) - altitude of a plane in feet.
Max altitude = 35,000 feet
0.5 h + 2 h + 15 min = 30 min + 120 min + 15 min = 165 min
Domain:
x ∈ [ 0; 165 ]
Range:
y ∈ [ 0; 35,000 ]
What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12
Answer:
s
wd\\\Step-by-step explanation:
Answer:
The mean is 50
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
(35+ 40+ 56+ 52+ 67)/5
250/5
50