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sammy
12 days ago
5

2. José is using 12 brown tiles and

Mathematics
1 answer:
AnnZ [11.9K]12 days ago
3 0
The answer is: 12:20.
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Utilizing the normal distribution and the central limit theorem, there's a 0.0284 or 2.84% chance of observing a sample mean mass of 695g or less.
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If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to
lawyer [12154]

Answer: Ana should produce more fudge, and Leo should produce more toffee.

Step-by-step explanation:

Comparative advantage defined: A person or country has a comparative advantage producing a good if their opportunity cost for it is lower than someone else's.

In this case, Ana and Leo will both benefit if they focus on the product for which they have the lower opportunity cost.

(a) Ana’s production possibilities:

If she spends all her time making fudge: 3 pounds; or toffee: 2 pounds.

Opportunity cost of 1 pound fudge = 2/3 = 0.66 pounds toffee

Opportunity cost of 1 pound toffee = 3/2 = 1.5 pounds fudge

(b) Leo’s production opportunities:

All time making fudge: 4 pounds; or toffee: 5 pounds.

Opportunity cost of 1 pound fudge = 5/4 = 1.25 pounds toffee

Opportunity cost of 1 pound toffee = 4/5 = 0.8 pounds fudge

Since Ana’s opportunity cost for fudge is lower than Leo’s, she should specialize in fudge production.

Conversely, Leo has a lower opportunity cost for toffee, so he should focus on producing toffee.

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1 month ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [11909]

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

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D = 120 feet

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Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

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********************************************************

1) The combined distance around both circle and triangle totals 661.06 feet.

********************************************************

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**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the


circular pool.

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3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

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***********************************************************

4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

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5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

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A nationwide survey of 100 boys and 50 girls in the first grade found that the daily average number of boys who are absent from
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