The solution to the problem is as follows:
We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... =
2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) =
2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us
<span>2(-1)/(-.2) = 2(5) = 10 meters.
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Answer:
Step-by-step explanation:
to get the mean you need to add up all the numbers
46+52+51+54+49+51+61=364
then divide that sum by the amount of numbers you have
364 divided by 7=52
so the mean you have is 52 degrees
Answer:
0.29p + 1.59 = 5.07 where p represents the number of pens
Step-by-step explanation:
Answer:
We reject H₀. We support that the new average credit card debt is bigger than the previous average
Step-by-step explanation:
Five years earlier
μ = 8189
σ = 690
Sample size n = 32
Recent year debt
x = 8776
Sample size n = 32
a) Hypothesis Test:
Null Hypothesis H₀ x = μ = 8189
Alternative Hypothesis Hₐ x > μ
b) z(c) Alternative Hypothesis establishes that the test is a one tail-test to the right.
z(c) for significance level α = 0.05 is from z-table z(c) = 1,64
c) z(s) = ( x - μ ) / σ /√n
z(s) = ( 8776 - 8189 ) / 690 /√32
z(s) = 587 *5,66/ 690
z(s) = 4,81
d) Comparing z(c) and z(s)
z(s) > z(c) Then z(c) is in the rejection region and we reject H₀
e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average
