An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
Answer:
Step-by-step explanation:
sin36=h/75
h=75sin36
h=44.08ft
Answer:
7 ; 6
Step-by-step explanation:
Answer:
p equals 7
Step-by-step explanation:
6p + 6 = 13 + 5p
you subtract 6 from 13 and 5p from 6p
p = 7
Answer:
No. See the explanation below.
Step-by-step explanation:
No. When we have the lineal model given by:

For n observations, where y represent the dependent variable, X represent the independent variable and
are the parameters of the model, we are assuming that
is and independent and identically distrubuted variable that follows a normal distribution with the following parameters
.
So then the expected value for any error term is 
So then if we find the expected value for any observation we have this:

Now we can distribute the expected value on the right by properties of the expected value like this:

By properties of the expected value
if a is a constant and X a random variable, so then if we apply this property we got:


And if we see that'ts not the result supported by the claim for this reason is FALSE the statement.