Answer:
Probability that this whole shipment will be accepted is 0.7324.
Step-by-step explanation:
We are given that a company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 30 components
r = number of success = fewer than 3
p = probability of success which in our question is % rate
of defects, i.e; 6%
<em>LET X = Number of defective components</em>
So, it means X ~ 
Now, Probability that this whole shipment will be accepted only when there are fewer than 3 defectives = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= 
= 
= 0.7324
Therefore, probability that this whole shipment will be accepted is 0.7324.
Answer:
2,3
Step-by-step explanation:
10 and 12 smallest multiple is 2.
12 and 15 smallest multiple is 3.
But these three has no same multiple collectively
Answer:
exponential growth
Step-by-step explanation:
the star is getting brighter exponentially, every 10 yrs.
Answer:
B. 600,000 (1.15)^{n-1}
Step-by-step explanation:
The <em>n-th</em> term of a geometric sequence with initial value a and common ratio r can be determined by multiplying the first term of the sequence (i.e. initial value a) by r^{n-1}.
The first term (i.e. initial value a) is 600,000.
The common ratio r can be calculated by dividing any two consecutive terms in the sequence:
r = 690,000/600,000 = 1.15 <em>or</em> r = 793,500/690,000 = 1.15
Thus, we get the answer:
the explicit rule that can be used to determine the value of the art collection n years after that is 600,000 (1.15)^{n-1}
Answer:
B. Open to the right
Step-by-step explanation:
X cannot be -9 so the dot has to be open
X is greater than -9 so x can be anywhere from -8 to 1,999,999,999 or even greater
