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3 years ago

How do you find theoretical probability?

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

Step-by-step explanation:

<h2>Theoretical Probability Definition</h2>

Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

<h3>Find the probability of rolling a 5 on a fair die</h3>

Solution: 

To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.

I hope it helps

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Plot the vertex and the axis of symmetry of this function on the provided graph.

tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

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3 years ago

The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the

mariarad [96]

Answer:

C. F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

f(x) = g(x -(-2)) = g(x+2)

f(x) = (x+2)²

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3 years ago

A certain number added to its square is 30. Find the number

Alex Ar [27]

X+x²=30
x²+x-30=0
(x+6)(x-5)=0
x=-6 or x=5

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3 years ago

Rewrite the slope in intercept form. x-3y=15

Dima020 [189]

Answer:

x=3y+15

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the 50th term of the sequence that begins -4, 2, 8, 14....?

vagabundo [1.1K]

Answer:

$a_{50}=290$

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term $a_1=-4$ . and common difference "d" = 6.

Recall now the formula for the nth term ( $a_n$ ) of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

Then, using our values in the formula, we get:

$a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290$

7 0

3 years ago