Select the correct answer
2 answers:
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Answer:
a.) The mean of the six layered plywood is 30 mm
The standard deviation is 0.49 mm
b.) That the thickness is less than 28 mm has a probability of 0.000022.
Step-by-step explanation:
There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.
The thickness of the layers of the plywood have a mean, = 5 mm
and a standard deviation, = 0.2 mm.
a.) Therefore the mean of the six layered plywood is = 6
= 6 × 5 mmm
= 30 mm
The standard deviation of the six layered plywood = =
= 0.49 mm
b.) We are given to find that the probability of the plywood is less than 28 mm thick.
P( thickness < 28 mm)
P( Z < ) = P(Z <
) ⇒ P( Z < -4.082) = 0.000022
Answer:
<em>24 square yards</em>
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
<em>Hence 24 square yards of carpeting is needed</em>
