Answer:
1,645
Step-by-step explanation:
Answer:
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Step-by-step explanation:
Given the geometric series:
1/3+2/9+4/27+8/81+16/243
First we must know that the series is a finite series with just 5terms.
Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.
r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27
r = 2/9 × 3/1
r = 2/3
Similarly;
r = 4/27×9/2
r = 2/3
Since all values of r is the as them the common ratio is 2/3.
If r< 1 in geometric series, then the formula for finding its sum is applicable
Sn = a(1-rⁿ)/1-r
a is the first term = 1/3
r is the common ratio = 2/3
n is the number of terms = 5
Substituting the values in the formula we have:
S5 = 1/3{1-(2/3)^5}/1-2/3
This gives the requires equation
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values
a) The equation of the least-squares regression line is
b) The correlation coefficient for the sample is approximately 0.351
c) The slope gives the increase in the attendance per increase in wins
Reasons:
a) From the computer regression output, we have;
The y-intercept and the slope are given in the <em>Coef</em> column
The y-intercept = 10835
The slope = 235
The equation of the least-squares regression line is therefore
b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229
Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351
The correlation coefficient for the sample, r ≈ <u>0.351</u>
c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins
Learn more here:
brainly.com/question/2456202
Answer:
47
Step-by-step explanation: if you're add 6 and 7 you get 13 so just add all the numbers and you get the answer