1/3(x) - 8 = y
hope that helps
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)
Answer:
Bob is 17 years old
Mary is 22 years old
Step-by-step explanation:
Mary's current age: m
Bob's current age: b
m + b = 39
m = b + 5
Substitute.
b + 5 + b = 39
2b + 5 = 39
2b = 34
b = 17
m = 22
Answer:
it can be 85
Step-by-step explanation:
Answer:
Step-by-step explanation:
Just multiply the first equation by -1 and then add them together to find x. Should look something like
-2x - y = -7
5x + y = 9
--------------------
3x + 0 = 2
x = 2/3
Now back substitute using either equation to find y. I'll use the first:
2(2/3) + y = 7
4/3 + y = 7
y = 7 - 4/3 = 21/3 - 4/3 = 17/3
Answer:
x=2/3
y=17/3