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Andreas93 [3]
3 years ago
8

9. If you randomly select one of the pieces of chocolate from the box, what is the probability that the piece will be filled wit

h fudge?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

Probability that the piece will be filled with fudge is 4/15 = 0.2667

Step-by-step explanation:

In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are

3 caramel

2 cherry cream

2 coconut

4 chocolate whip

4 fudge

So this makes 3+2+2+4+4= 15

As the total number of chocolate pieces are 15

Let E be the event that the chocolate piece is filled with fudge

As we know Probability of an event is

P(E) = number of favorable outcomes / number of possible outcomes

Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:

                        P(E) = 4/15 = 0.2667

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Solve the proportion: 10/9=5/k​
pychu [463]

Answer:

k= 9/2

decimal form:4.5

mixed number: 4 1/2

Step-by-step explanation:

4 0
2 years ago
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Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of
Rzqust [24]

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Step-by-step explanation:

The given is,

               A solid clay brick in the shape of a rectangular prism.

               A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

               The clay weighs 1.055 ounces per cubic

Step:1

              Formula for volume of rectangular prism,

                                  Volume, V= whl...................(1)

            Where, w - Width of the rectangular prism

                          h - Height of rectangular prism

                           l - Length of rectangular prism

            From the given,

                         w = 3.5 inches

                          h = 2.25 inches

                           l =  8 inches

           Equation (1) becomes,

                                              = (3.5)(2.25)(8)

                                              = (7.875)(8)

                                              = 63

                            Volume, V = 63 cubic inches

Step:2

          Weight of brick = Volume of brick × Weight per cubic inch

                                     = (63) (1.055)

                                     = 66.465 ounces

          Weight of brick = 66.465 ounces

Result:

            The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

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<u>ANSWER</u>



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<u>EXPLANATION</u>


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