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exis
22 days ago
10

Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop

CD (P), and a rock CD (R).
Mathematics
2 answers:
zzz [12.3K]22 days ago
8 0

Response with explanation:

On the shelf, there are three unique music CDs, consisting of:

   jazz CD (J), a pop CD (P), and a rock CD (R).

When arranging three CDs in a line, the sequence of placement is crucial. Therefore, we will implement the rule of Permutation.

The arrangement of three distinct objects can be calculated in 3! ways._{3}^{3}\textrm{P} = 3 × 2 × 1

= 6 distinct arrangements

or

=\frac{3!}{(3-3)!}\\\\=3!=3 \times 2 \times 1=6

= {J PR, J RP, P R J, P J R, R P J, R J P}

zzz [12.3K]22 days ago
8 0
The sample space for the arrangement of the 3 distinct music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
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3 0
1 month ago
Amanda is a cabinetmaker. She makes cabinets using one of three types of wood: birch, maple, or cherry. She can finish each type
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Assuming that every material in their respective categories has an equal likelihood of selection.

Categories:
(a) Wood types for cabinets: birch, maple, cherry.
Each wood type has a selection probability of 1/3.
(b) Finish types: transparent, semi-transparent.
Each finish type has a 1/2 chance of being selected.
(c) Knob types: bronze, steel, wood.
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The selection of materials for the cabinet, finish, and knobs is independent of one another.

Consequently,
Probability(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
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6 0
1 month ago
A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in th
PIT_PIT [12445]

Respuesta:

126 pies

Explicación paso a paso:

Dado que:

Ecuación de la línea que representa el sendero de naturaleza:

y = 13x - 4

Distancia del gazebo respecto al sendero de naturaleza:

Cada unidad en el plano de coordenadas = 10 pies

Por lo tanto,

y = 13(10) - 4

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6 0
1 month ago
a falling object travels a distance given by the formula d=5t + 16t^2 ft, where t is measured in seconds. how long will it take
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It is provided that

d=5t+16t^{2}

We need to determine t when d equals 74

Thus, 74=5t+16t^{2} or

16t^{2}+5t-74 = 0

16t^{2}+37t-32t-74 = 0

t(16t + 37) - 2(16t + 37) = 0

(t - 2)(16t + 37) = 0

t - 2 = 0 or 16t + 37 = 0

t cannot be negative.

Thus, t equals 2

Therefore, it will require 2 seconds for the object to cover 74 feet.










8 0
1 month ago
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When there is one table (t=1), you can place 6 chairs (c=6) around it: 2 along the length of each side and 1 at each end.
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1 month ago
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