Answer:
A formula for the nth term of the given sequence is:
Step-by-step explanation:
Given the sequence
36, -48, 64...
We know that a geometric sequence has a constant ratio r and is defined by
Compute the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
Therefore, the given sequence is a geometric sequence.
As the first element of the sequence is
so substituting and in the nth term
Therefore, a formula for the nth term of the given sequence is:
Answer:
18.8
Step-by-step explanation:
You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.
<h3>
Answer: 42</h3>
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Work Shown:
The two angle bisectors intersect to form the incenter. The incenter is the center of the inscribed circle (aka "incircle"). This circle is the largest possible, but is completely inside the triangle. No portions of the circle spill outside the triangle.
The two segments marked with lengths x+8 and 2x-5 are two radii of the incircle. This is because the sides of the triangle are tangent to the incircle.
Since all radii are the same length, we can set those expressions equal to one another and solve for x
x+8 = 2x-5
x-2x = -5-8
-x = -13
x = 13
This x value then leads to
- x+8 = 13+8 = 21
- 2x-5 = 2*13-5 = 26-5 = 21
Both radii are 21 units long, which helps confirm we have the proper x value. We double the length of the radius ot get the diameter.
So the diameter of the incircle is 2*21 = 42 units long.
Answer:
Step-by-step explanation:
Given that for a sample of size n = 13, mean =122 and std dev = 13
STd error of sample =
Hypotheses:
(One tailed test at 5% sign level)
Mean difference = 1 and test statistic
df = n-1 =12
pvalue = 0.3929
Since p > alpha, accept null hypothesis
There is no evidence to prove that mean is greater than 121.