The best way to solve this equation is to simplify it. So first you’ll distribute the -2 on the left side. This will give you the equation -2t+8=10-2t. Now you bring t to one side by adding 2t to both sides. You will find that t cancels out and you are left with 8=10. Since this statement isn’t true there are no solutions to this equation.
The 11th term is 2, 095, 152
Explanation:
This is a geometric sequence, since each term after the first is obtained by multiplying a common ratio,
r
.
The common ratio is
4
. The first term,
a
, is
2
. The number of terms,
n
is
11
.
We use the formula
t
n
=
a
×
r
n
−
1
to determine the nth term in a geometric sequence.
t
11
=
2
×
4
11
−
1
t
11
=
2
,
095
,
152
Hopefully this helps!
Answer:
If the angle is 32, then the tan of 32 degrees will be 0.625.
Step-by-step explanation:
This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.
You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:
Opposite = 0.625 x Adjacent
Adjacent = Opposite / 0.625
Answer:
The answer is below
Step-by-step explanation:
Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours
a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.
The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:
c)
d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.
The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.