Answer:
Step-by-step explanation:
Given that X is the number of months between successive payments
Cumulative distribution function of X is

a) PMF of x would be

b) 
Answer:
4
Step-by-step explanation:
To find the mean absolute deviation (MAD), first find the mean (or average).
μ = (59 + 71 + 68 + 75 + 67) / 5
μ = 68
Next, subtract the mean from each value and take the absolute value.
|59 − 68| = 9
|71 − 68| = 3
|68 − 68| = 0
|75 − 68| = 7
|67 − 68| = 1
Sum the results and divide by the number of students.
MAD = (9 + 3 + 0 + 7 + 1) / 5
MAD = 4
Answer:
20.46 pounds
Step-by-step explanation:
- Since 16.5% of their body is fat you need to multiply the weight by that percentage
- you can do this by multiplying 124 by .165 which equals 20.46 pounds
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!