Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
The study has the smallest margin of error for a 98% confidence interval is <span>The northern California study with a margin of error of 3.2%.
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Step-by-step explanation:
Equation of line:
where m is the slope
and c is the y-intercept (the value of y when x = 0)
In this case, given the slope = 1/4
and y-intercept is 8 (from the point (0,8))
The equation of the following line is:
Answer:
If i did the math correctly the answer to number 9 is a.5 and number 10 is c. Vanilla and German chocolate cupcakes represent about 21% of total sales
Step-by-step explanation:
for number 9 you write down each of the numbers with a dot above them. how many dots represents how many times you repeat the number. you then add it together and divide by the amount of numbers you added together. so in this case it would be 65 ÷ 12. this ends up being 5.41 but you'd round down to 5.
for number 10 you write out how many each flavor sold. then you put those numbers over the total cupcakes sold. divide the denominator by 100 and then divide the numerator by that number. then that gives you the fractions of the percent each one was. the german chocolate and the vanilla added together is almost exactly 21% of the sales
