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QveST [7]
3 years ago
10

A pink-and-green spinner landed on pink 14 times and on green 56 times. Based on experimental probability, how many of the next

65 spins would you expect to land on pink?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0
<h3>Answer:  13</h3>

=========================================================

Explanation:

Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.

You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.

If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.

Note how 13/65 = 1/5.

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3 years ago
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2
butalik [34]

The solution of the linear equations will be ( -2, 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:-

  • 2x +3y = 8 and 3x+y= -2

Solving the equations by elimination method:-

2x +3y = 8

3x+y= -2

Multiply the second equation by 3 and subtract from the first equation.

2x +3y = 8

-9x -3y = 6

----------------

      -7x = 14

         x = -2

Out of the value of x in any one equation, we will get the value of y.

3x+y= -2

3 ( -2) + y = -2

-6 + y = -2

y = 4

The graph of the equations is also attached with the answer below.

Therefore the solution of the linear equations will be ( -2, 4).

The complete question is given below:-

Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.

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2 years ago
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