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Serjik [45]
2 years ago
12

The probability of choosing a 6 at random from a standard deck of playing cards is 1/13 what is the complement of the event of c

hoosing a 6
Mathematics
1 answer:
tekilochka [14]2 years ago
5 0
To find the complement of an event you have to figure out what the probability is of not choosing a 6 
since 1/13 is the probability that 6 is going to be choosen. 
the other 12/13 is used for every other card accept for the 6:)
hope this is right
have a good one:)

merry Christmas:)
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft
Yuri [45]

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

  • the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
  • the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

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2 years ago
The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?
fredd [130]

Answer:

The center of the circle is midpoint of the diameter:

The radius is equal the distance between C and Q:

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center

r - a radius

r = √65; (-3; 2) ⇒ a = -3 and b = 2

subtitute

(x - (-3))² + (y - 2)² = (√65)²

Answer:

the center: (-3; 2)

the radius: √65

the equation of the circle: (x + 3)² + (y - 2)² = 65

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Hello there!

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