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3 years ago

Which ratio best defines theoretical probability?

Mathematics

2 answers:

8_murik_8 [283]3 years ago

8 0

Answer:

Number of favorable outcomes:Number of possible outcomes

Step-by-step explanation:

Theoretical probability is found by comparing the number of ways an event can occur, also called the number of favorable outcomes, to the total number of possible outcomes.

Morgarella [4.7K]3 years ago

3 0

Answer: Second option is correct.

Step-by-step explanation:

Since we know that Theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes.

It means the possibility of favorable outcome out of all possible outcomes.

Mathematically, it is expressed as :

$Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}$

Hence, Second option is correct.

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the amount tomas makes, in dollars, working h hours can be represented by the expression 18h+8. Tomas hopes to get a raise that

dangina [55]

20h+40 two h plus eighteen h is 20h, while eight plus 32 is 40. subsitute eight into it, u get 160, then add 40, which is 200
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4 years ago

A progression has a second term of 96 and a fourth term of 54. Find the first term of the progression of the progression is arit

Vladimir79 [104]

Here, we are required to find the first term of an arithmetic progression which has a second term of 96 and a fourth term of 54.

The first term of the progression which has a second term of 96 and a fourth term of 54 is; a = 117.

In Arithmetic progression, the N(th) term of the progression is given by the formular;

T(n) = a + (n-1)d

where;

a = first term

d = common difference.

n = nth term.

Therefore, from the question above;

T(2nd) = a + d = 96..............eqn(1)

and T(4th) = a + 3d = 54..........eqn(2)

By solving the system of equations simultaneously;

we subtract eqn. 2 from 1, then we have;

-2d = 42

Therefore, d = -21.

However, the question requests that we find the first term of the progression; From eqn. (1);

a + d = 96

Therefore,

a - 21 = 96
a = 96 + 21

Ultimately, the first term of the progression is therefore; a = 117

Read more:

brainly.com/question/18828482

5 0

3 years ago

Find -8 divided by -1/2

Leto [7]

Answer:

Step-by-step explanation:

To divide by a fraction, multiply by its reciprocal.

−

(

−

)

Multiply

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8 0

3 years ago

Whats 9.882÷81? ima just make this look longer REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

denpristay [2]

Answer:

0.122

Step-by-step explanation:

9882/81 = 122

122/1000 = 0.122

5 0

3 years ago

Read 2 more answers

Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solution

Maksim231197 [3]

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

3 0

3 years ago