Hello from MrBillDoesMath!
Answer:
5.06
Discussion:
Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,
From the law of sines
sin(120)/k = sin(20)/2 =>
sin(120) = k * ( sin(20)/2) ) (multiply both sides by "k")
k = sin(120)/ ( sin(20)/2) (divide both sides by sin(20)/2)
k = (0.866) / ( 0.171) = 5.06
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MrB
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Answer:
0.918 is the probability that the sample average sediment density is at most 3.00
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2.80
Standard Deviation, σ = 0.85
Sample size,n = 35
We are given that the distribution of sediment density is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:

P(sample average sediment density is at most 3.00)
Calculation the value from standard normal z table, we have,
0.918 is the probability that the sample average sediment density is at most 3.00
The answer is:
(-28/81)/(-2/3) = -84/(-162) = 42/81
Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.
Hopes this helps but is this a multiple choices questions or not:
Answer: 25r