Answer:
the confidence interval for the true weight of the specimen is;
4.1593 ≤ μ ≤ 4.1611
Step-by-step explanation:
We are given;
Standard deviation; σ = 0.001
Sample size; n = 8
Average weight; x¯ = 4.1602
We are given a 99% confidence interval and the z-value at this interval is 2.576
Formula for confidence interval is;
CI = x¯ ± (zσ/√n)
Plugging in the relevant values, we have;
CI = 4.1602 ± (2.576 × 0.001/√8)
CI = 4.1602 ± 0.000911
CI = (4.1602 - 0.000911), (4.1602 + 0.000911)
CI ≈ (4.1593, 4.1611)
Thus, the confidence interval for the true weight will be expressed as;
4.1593 ≤ μ ≤ 4.1611
Where μ represents the true weight
Answer:
x = 52, y = 137 degrees.
Step-by-step explanation:
x = 180 - 90 - 38
x = 52 degrees (as there is 180 degrees in a triangle).
As they are the same side inner angles between 2 parallel lines:
x + (y - 9) = 180
52 + y - 9 = 180
y = 180 - 52 + 9
y = 137 degrees.
Answer:
D
Step-by-step explanation:
Answer:
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Step-by-step explanation:
