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EleoNora [17]
3 years ago
10

If you pull a random card from a deck and keep it, and then pull another card, are the two events independent or dependent ?

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
The events are dependent
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A scrap metal buyer pays $2.79 per square foot of steel.
RUDIKE [14]

Answer:

a. You can earn about $245

b. You will earn about $35 less if the lid is missing

Step-by-step explanation:

a. To solve this we first need to calculate the surface area of the drum, which has a cylinder shape, therefore it's surface area is given by:

surface area = 2*(pi*r² + pi*r*h)

r = d/2 = 4/2 = 2 ft

surface area = 2*(pi*2² + pi*2*5)

surface area = 2*(4*pi + 10*pi) = 2*14*pi = 28*pi ft²

surface area = 87.96 ft²

Since each square foot pays $2.79, then the total value of the drum is:

value = surface area * 2.79 = 87.96*2.79 = $245.42

b. If the lid of the drum is missing, then the surface area is given by:

area drum with no lid = surface area - lid area

area drum with no lid = 87.96 - pi*(2)² = 87.96 - 12.566 = 75.394 ft²

value = area drum with no lid * 2.79

value = 75.394 * 2.79 = 210.35

loss value = 245.42 - 210.35 = $35.07

7 0
3 years ago
What percentage of students earning degrees in 2009 were awarded a professional degree?
shusha [124]

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

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Here are some free points!! :)
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Answer:

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Step-by-step explanation:

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3 years ago
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An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o
cestrela7 [59]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base = 9 inches,

The width of the base =6 inches, and

The height of the exhibit = 3(17) = 51 inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

A=2(w l+h l+h w)

By substituting the values, we get

A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.

The surface area of the exhibit is 1,638 cubic inches.

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3 years ago
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Answer:

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Step-by-step explanation:

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