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Elena-2011 [213]
3 years ago
13

Jamestown Steel Company manufactures and assembles desks and other office equipment at several plants in western New York State.

The weekly production of the Model A325 desk at the Fredonia Plant follows the normal probability distribution with a mean of 200 and a standard deviation of 16. Recently, because of market expansion, new production methods have been introduced and new employees hired. The vice president of manufacturing would like to investigate whether there has been a change in the weekly production of the Model A325 desk. Suppose he wants the significance level to be 0.01. denote %u03BC to be the population mean of weekly production of the Model A325 after new methods, set up the null hypothesis the vice president wants to test:
a. %u03BC = 200

b. %u03BC %u2260 200

c. %u03BC > 200

d. %u03BC < 200

e. %u03BC %u2264 200

f. %u03BC %u2265 200
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

a. %u03BC = 200

Step-by-step explanation:

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Each of Elsa's notebooks is 3/5 inches wide. If she has 30 inches of space remaining on her bookshelf, how many notebooks will f
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50 Notebooks

Step-By-Step:

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The Earth completely rotates on its axis once every 24 hours.
strojnjashka [21]

Answer:

A)

62/3 = 20.67 hours

B)

60.00 hours

C)

2074.29 miles

Step-by-step explanation:

If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.

A)

In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;

(24/360) = (x/310)

solving for x;

x = (24/360) * 310 = 62/3 = 20.67 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;

(24/2π radians) = (x/5π radians)

Solving for x;

x = (24/2π radians)*5π radians = 60 hours

C)

If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;

circumference = 2*π*R = π*D

                         = 7920π miles

Therefore, the speed of the earth is approximately;

(7920π miles)/(24 hours) = 330π miles/hr

The distance covered by a point in 2 hours will thus be;

330π * 2 = 660π miles = 2074.29 miles

8 0
3 years ago
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