If data are not normally distributed then there are only two tendencies for its distribution. It could either be skewed to right where most of the values are to the right of the mean.
Another tendency for the data is that they are skewed to the left. With this, most of the data are to the left of the mean.
Hence, the sample means also shifted depending on the skewness of the data.
Answer: ![ar^{n-1}=54(\dfrac{1}{3})^{n-1}](https://tex.z-dn.net/?f=ar%5E%7Bn-1%7D%3D54%28%5Cdfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
Step-by-step explanation:
The nth term for a geometric sequence is given by :-
(1)
We are given that The first term in a geometric sequence is 54. i.e. a=54
5th term=
(2)
Put n=5 and a= 54 in (1), we get
(3)
From (2) and (3), we have
![\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}](https://tex.z-dn.net/?f=%5CRightarrow%2854%29r%5E%7B4%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20r%5E4%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%5Cdfrac%7B1%7D%7B54%7D%3D%5Cdfrac%7B1%7D%7B3%5Ctimes27%7D%3D%5Cdfrac%7B1%7D%7B81%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%28%5Cdfrac%7B1%7D%7B81%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B1%7D%7B3%7D)
Explicit form for the geometric sequence: ![ar^{n-1}=54(\dfrac{1}{3})^{n-1}](https://tex.z-dn.net/?f=ar%5E%7Bn-1%7D%3D54%28%5Cdfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
The range of the function is C.
When a questions asks about the RANGE of the function, they are specifically talking about Y-VALUES. If a questions asks about DOMAIN, they want the X-VALUES.
This is a quadratic function.
A and B could be eliminated right away since range asks for y-values, not x-values.
Answer:
The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .
Answer:
x≈1.63634604
Step-by-step explanation:
It a lot of work