Answer:
a. 0.12109
b. 0.0001668
c .0.9726
d. 0.01038
e. 0.01211
f. 0.000001731
Step-by-step explanation:
Sample size = 580
Defective units = 8
Number of picks = 2
a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:
b) The probability that both are defective is given by:
c) The probability that both are acceptable is given by:
d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:
e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:
f) The probability that all three are defective is given by:
Answer:
Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).
Step-by-step explanation:
If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).
If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).
Equation: y=48+x
Answer:
125$ worth because you would not spend it all if you picked 625 and the others would give way too many away
1. I suppose the ODE is supposed to be
Solving for 
gives
which is undefined when 
. The interval of validity depends on what your initial value is. In this case, it's 
, so the largest interval on which a solution can exist is 
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted 
- or 
- and 
- or 
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for 
easier. Given that 
, we get
and so our solution is
Your answer will be negative because you're subtracting a greater value from a lesser value.
