Treat this as an ordinary linear equation. Try to isolate x, as some value. Also remember the basic rules of inequalities: If you're dividing, or multiplying, by a negative, you flip the inequality.
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).
![P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007](https://tex.z-dn.net/?f=P%28X%5Cleq1%29%3DP%28X%3D0%29%2BP%28X%3D1%29%5C%5C%5C%5C%5C%5CP%280%29%3D%5Cbinom%7B48%7D%7B0%7D%280.05%29%5E0%280.95%29%5E%7B48%7D%3D1%2A1%2A0.0853%3D0.0853%5C%5C%5C%5C%5C%5CP%281%29%3D%5Cbinom%7B48%7D%7B1%7D%280.05%29%5E1%280.95%29%5E%7B47%7D%3D48%2A0.05%2A0.0897%3D0.2154%5C%5C%5C%5C%5C%5CP%28X%5Ceq1%29%3D0.0853%2B0.2154%3D0.3007)
The answer is 24. To get from one term to the next, you have to find the difference. To get from 52 to 45, you minus 7. It is the same with the other terms. So 31 - 7 = 24
Hi!
Each piece cost 1.95, then 1000 pieces will cost:
1000 * 1.95 = 1950
;)
Answer:
(42-24n)
Step-by-step explanation:
(7-4n)×6
take the 6 and multiply it to the integers in the paraenthesis.
so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.
6×7=42
(42-4n)
then take the next number 4n and multiply by 6
4n × 6 = 24n
finally put it all together
(42-24n)
sorry if that didnt help