the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
Answer:
d = 12
Step-by-step explanation:
d - 5= 7
( d - 5 ) + 5 = 7 + 5
d - 5 + 5 = 12
d = 12
Answer:
A. The description represents an arithmetic sequence because the successive y-values have a common difference of 600
Step-by-step explanation:
The equation that this situation is describing would be
This would mean that this equation would be an arithmetic series
Answer: Random sampling
Step-by-step explanation:
- A random sampling technique is a method of sampling in which each member for the sample is chosen randomly from the population.
- Systematic sampling : It is a kind of random sampling in which the members get selected after a fixed interval but a random starting point.
- Convenience sampling : It is a kind of random sampling in which the members get selected on the basis of researchers convenience.
- Stratified sampling : It is a kind of random sampling in which the entire population is divided into a finite number of strata , the researcher select members for sample from each strata.
- Cluster sampling : It is a kind of random sampling in which the entire population is divided into clusters. Then a random sample of cluster is drawn by researcher.
In the given situation , 784 adults are selected after their telephone numbers were randomly generated by a computer.
Therefore , the type of sampling used here is : random sampling
