In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the nearest inch
1 answer:
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Answer:
See below.
Step-by-step explanation:
So we have the two functions:
And we want to find:
1)
Recall that:
is the same as:
Thus, we can substitute g(x):
And substitute that into f(x):
Distribute:
Subtract and simplify:
Thus:
2)
Similarly:
Substitute f(x):
Substitute:
Distribute:
Simplify:
Therefore:
Answer:
a) 15.579
b) 39.019
Step-by-step explanation:
a) For the top 2% the z-value from the z table
z = 2.054
thus,
z =
here
X = 132
Mean = 100
thus,
2.054 =
or
σ = 15.579
b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159
By interpolation, values for 0.815 and we get Z=0.897
thus,
z =
here
X = 220
Mean = 185
thus,
0.897 =
or
σ = 39.019