To solve for the confidence interval for the true average
percentage elongation, we use the z statistic. The formula for confidence
interval is given as:
Confidence interval = x ± z σ / sqrt (n)
where,
x = the sample mean = 8.63
σ = sample standard deviation = 0.79
n = number of samples = 56
From the standard distribution tables, the value of z at
95% confidence interval is:
z = 1.96
Therefore substituting the known values into the
equation:
Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)
Confidence interval = 8.63 ± 0.207
Confidence interval = 8.42, 8.84
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C. 3/4 is the right answer
Answer:
m∠DEF = 50
Step-by-step explanation:
∠DEG = ∠GEF
3y + 4 = 5y - 10
subtract 4 from both sides
3y = 5y - 14
subtract 5y from both sides
-2y = -14
divide by -2
y = 7
Add 7 into the equations:
3y + 4 + 5y - 10
3(7) + 4 + 5(7) - 10
21 + 4 + 35 - 10
25 + 25
50
