Answer:
The margin of error at 90% confidence is 0.5133 gram.
Step-by-step explanation:
Margin of error (E) = (critical value × sample standard deviation) ÷ sqrt(n)
sample standard deviation = 1.5 grams
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
n (sample size) = 25
degree of freedom = n - 1 = 25 - 1 = 24
critical value (t) corresponding to 24 degrees of freedom and 10% significance level is 1.711
E = (1.711×1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 gram
Answer:
4/15 = height of lamp/(15+5)
4/15 = height of lamp/20
20/15 = 1 5/15
1 5/15 times taller
Answer:
Step-by-step explanation:
Answer:
A=21°;B=53°;C=106°
Step-by-step explanation:
I hope it helps.
The sequence converges.
The limit of the sequence is 0.
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This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.
Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64
