The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for x greater-than 1. Determine the following (round all of your answers to 3 decimal places):

a) P(x < 5)=

b) P(x > 8)=

c) P(6 < x < 10)=

d) P(x < 6 or x > 10)=

3) Determine x such that P(X < x) = 0.75

Janet is mixing a 15% glucose solution with a 35% glucose solution. this mixture produces 35 liters of a 19% glucose solution. how many liters of the 15% solution is januet using in the mixture? a. 25 liters c. 28 liters b. 7 liters d. 10 liters

The center of a circle represent by the equation (x+9)^2+(y-6)^2=10^2 (-9,6), (-6,9), (6,-9) ,(9,-6)

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?