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Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3
Answer:
This statement can be made with a level of confidence of 97.72%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8.1 mm
Standard Deviation, σ = 0.5 mm
Sample size, n = 100
We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(mean thickness is less than 8.2 mm)
P(x < 8.2)
Calculation the value from standard normal z table, we have,
This statement can be made with a level of confidence of 97.72%.