Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
Answer:
The solution of the system is the ordered pair (-13,-4)
Step-by-step explanation:
we have
-----> equation A
----> equation B
Solve the system by elimination
Multiply by 2 both sides equation B
----> equation C
Adds equation A and equation C
<em>Find the value of a</em>
substitute the value of b in any equation (i take equation B)
therefore
The solution of the system is the ordered pair (-13,-4)
7= 16 + 3x
7-16 = 3x
-9 = 3x
x = (-9)/(3)
x = -3
The answer is B if not sorry
Answer:
Step-by-step explanation:
Amount of brine = 100 gal
amount of salt = 80 lb
rate of water running = 4 gal / min
Let A be the amount of salt in lb in the tank at any time t.
(a) dA/dt = rate of salt in - rate of salt out
Rate of salt in = 0
rate of salt out = A x 4 / 100 = A / 25 lb/min
So, dA/dt = 0 - A/25 = - A/25 lb/min
When t = 0, A = 80 lb
So,
(b) Now, A = 40 lb
So,
take log on both the sides
t = 17.3 minutes
