A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the
1 answer:
Answer:
The probability of thickness exceeding 101 is 0.4483.
Step-by-step explanation:
Let <em>X</em> denote the thickness of the part manufactured by plastic injection molding.
Assume that <em>X</em> follows a normal distribution with mean, <em>μ</em> = 100 and standard deviation, <em>σ</em> = 8.
Compute the probability of thickness exceeding 101 as follows:
Thus, the probability of thickness exceeding 101 is 0.4483.
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x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
<u>Vertical angle theorem:</u>
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
