Suppose that a firm has purchased some land for $1,250,000 a year ago to develop a new outlet, and the land now would sell $2,00
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Based on the calculations, the measure of angle PON (∠PON) in equilateral triangle LMN is equal to 30°.
<h3>What is an equilateral triangle?</h3>An equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.
Since triangle LMN is an equilateral triangle, the following applies:
LN = LM = MN
∠LNM = ∠L = ∠LM = 60°
OP // MN (O and P are midpoint).
∠NPO = 90° + (90° - 60°) = 120°
∠PNO = ∠LNP/2 = 60/2 = 30°.
Therefore, ∠PON is given by:
∠PON = 180° - (∠PNO + ∠NPO)
∠PON = 180° - (30° + 120°)
∠PON = 180° - 150°
∠PON = 30°
Read more on equilateral triangle here: brainly.com/question/14709905
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Answer:
Answer is explained in the explanation section below.
Explanation:
Data Given:
LSL = 4.96 cm
USL = 5.04 cm
Mean = 5 cm
SD = 0.01 cm
1. Capability Index:
Cpk = min ( ,
)
So, now, we need to find the following:
=
=
= 1.33
Similarly,
=
=
= 1.33
So,
Cpk = min ( ,
) = 1.33
2. Maximum Standard deviation allowed.
Let SD be maximum standard deviation allowed.
So,
Mean - 3SD = 4.96 Equation 1
Mean + 3SD = 5.04 Equation 2
Subtracting Equation 2 from 1, we have
6SD = 5.04 - 4.96
6SD = 0.08
SD = 0.0133