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
well...
15 x 20 = 300
300+85 = 385
you can get 20 watches for $385
At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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Answer:
Take a glass, and fill it completely with water.
Now, pour that water in a marked bowl and measure how much water is in the bowl, that amount of water will be 100% of the total water that the glass can have.
Now you need to pour 3/5 of the water back in the glass, it is easier for water until the water in the bowl is exactly 2/5 of the initial amount.
You can do this as follows.
2/5 = 0.4 or 40% in percentage form.
Then if the amount of water in the marked bowl is A, the amount of water that must remain in the marked bowl is A*0.4
Then drop the water in the glass until the water in the marked bowl is the quantity that you found previously.
In this way, you can be sure that the glass is 3/5 full of water.
Answer
First you would divide both sides by 2y so it would be
x/2y = z
Step-by-step explanation:
