Sn=sum of the n terms of the geometric sequence.
a= the first term
r=the common ratio
n=numbers of terms.
Sn=a[(1-r^n)/(1-r)]
In this case:
a=-3
r=a₂/a₁=15/-3=-5
n=9
S₉=-3[(1-(-5)⁹) / (1-(-5))=
S₉=-3(1+1953125)/6)=
S₉=-3(1953126/6)=
S₉=-3(325521)
S₉=-976563
<span>Answer: A. -976563
hope this helps :^)</span>
3 (x + 1) = 5 + x
First you must distribute the 3 to the values inside the parentheses:
3 (x + 1) = 5 + x
(3 * x) + (3 * 1) = 5 + x
3x + 3 = 5 + x
Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.
3x - x = 5 - 3
2x = 2
Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2x / 2 = 2 / 2
1x = 1
Check:
3 (1 + 1) = 5 + 1
3 (2) = 5 + 1
6 = 6
^^^This is true, therefore:
x = 1
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Your answers are correct, but incomplete.
a) should include "supplementary angles"
c) should include "complementary angles"
Step-by-step explanation:
Adjacent angles that form a linear pair are <em>supplementary</em>.
Adjacent angles that make up a right angle are <em>complementary</em>.
The problem asks for all classifications that apply, so these additional classifications should be part of the answers for (a) and (c).
Answer:
The first quartile of the distribution of gas mileage is 19.6925 mpg.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the first quartile of the distribution of gas mileage?
The first quartile has a proportion of 0.25. So this is the value of X when Z has a pvalue of 0.25. It happens between Z = -0.67 and Z = -0.68, so i am going to use 
So
The first quartile of the distribution of gas mileage is 19.6925 mpg.
