Each score in a set of data is multiplied by 3, and then 4 is subtracted from the result. If the original mean is 10 and the ori
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Answer:
Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Step-by-step explanation:
Total number of students in the seventh grade at Winchester Heights Middle School = 350
For the upcoming school year, they are planning to increase the number of seventh graders by 10%.
Rate of increase = r = 10% = 0.1
Formula :
Where = initial population = 350
r = rate of increase =0.1
N(t)=Population after t years
t = time in years
So, Population after 1 year =
Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.
An arithmetic sequence takes the form
where
is the common difference between terms. You can solve for 
in terms of any of the previous terms of the sequence:
for some integer
Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term
Given that the 4th term is
and the 11th term is 
, you have the following system of equations.
Solving this system for the two unknowns yields
and 
.
So, the sequence is given explicitly by
where
for some integer
Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term
Given that the 4th term is
Solving this system for the two unknowns yields
So, the sequence is given explicitly by