Help me please with number 2.a and 2.b
1 answer:
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Answer:
Step-by-step explanation:
To find:
The value of = ?
Solution:
Kindly consider the equilateral as attached in the answer area.
Let the side of triangle = units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC =
Using Pythagorean Theorem in :
Side AD =
Using Trigonometric ratio:
Putting the values of AD and BD:
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,
or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5