a) 
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) 
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Make the same part of the first one
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Maybe you want to find x such that ...
2/7 = x/(x +10)
2(x +10) = 7x . . . . . . multiply by 7(x+10)
20 = 5x . . . . . . . . . . subtract 2x, simplify
4 = x . . . . . . . . . . . . divide by 5
_____
<em>Additional comment</em>
You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.
Answer: 2+7+6-8/3*5+8-4=17/3=5 2/3 =5.666667
Step-by-step explanation:
Answer:
2x³ + 5x² - 12x
Step-by-step explanation:
The correct answer doesn't seem to be listed...
(fg)(x) = (2x² - 3x)(x + 4)
Which equals...
2x²(x) + 2x²(4) + (-3x)(x) + (-3x)(4)
Which simplifies to...
2x³ + 8x² - 3x² - 12x
2x³ + 5x² - 12x
