Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
<span><span><span>−1</span><span>2x</span></span>=<span>−12</span></span><span><span>−1</span>=<span>−<span>24x</span></span></span>(Multiply both sides by 2x)<span><span>−<span>24x</span></span>=<span>−1</span></span>(Flip the equation)<span><span><span>−<span>24x</span></span><span>−24</span></span>=<span><span>−1</span><span>−24</span></span></span>(Divide both sides by -24)<span>x=<span>1<span>24
AND OMG MY CHEMICAL ROMANCE AS YOU PFP!!!!</span></span></span>
Answer:
1/6
Step-by-step explanation:
1/2/3 is a sixth of an apple that all 3 people equally shared.
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find , we need to use z score formula:
When x = 4.2, we have:
When x = 5.1, we have:
Therefore, we have to find 
Using the standard normal table, we have:
= 
or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
