If m is the midpoint between x=a and x=b, then you have
... (a+b)/2 = m
... a+b = 2m
... b = 2m - a
For the case where a=1 and m=6, we find the reflected coordinate to be
... 2·6 - 1 = 11
Now, we want to reflect about the line x=4, so a=11 and m=4. The second reflection results in an x-coordinate of
... 2·4 - 11 = -3
Answer:
C)Systematic Random Sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
Every kth element(in this exercise 10th) is systematic sample. So the answer is given by option c.
Answer:
4
Step-by-step explanation:
First distribute the -3 to 4x + 3
It'll be -12x - 9
Then distribute 4 to 6x+1
It'll be 24x+4
-12x - 9 + 24x + 4 = 41
Add the like terms
12 x -5 = 41
12 x = 46
x = 46/ 12
In fractions the answer is 23/6
In decimals the answer is 3.84
Let me know if you need more help :)
Answer:
C
Step-by-step explanation:
(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1
