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2 years ago

How do you find theoretical probability?

Mathematics

1 answer:

shepuryov [24]2 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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Consider the function f(x)= x² - 4

Arisa [49]

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

Solving f(x) = x^2 - 4

A^2 - B^2 is a special case where the original equation before it was foiled is

(A + B) (A - B) because the middle terms will cancel out when foiled.

This means that the equation can be written as

(X + 2)(X - 2) = 0

Each of these you will then set equal to 0 and then solve

X + 2 = 0, X - 2 = 0

X = -2, 2

I hope this helps you! let me now if its right ok <3 :)

4 0

3 years ago

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$

8 0

3 years ago

Rewrite the following statement using a number in scientific notation.

Mila [183]

Answer:

3.1 x 10^11

Step-by-step explanation:

Since we know that giga means billion, we can piece together that 310 gigabytes = 310 billion

310 billion = 310,000,000,000

When writing in scientific notation, we move the decimal point over until there is only a single digit to the right of the decimal point.

Currently the decimal point is all the way at the end of the 310 billion.

310,000,000,000.

We need to move it over to the left, keeping count of how many times we do so, and stopping when there is only one digit to the right of the decimal.

We end up with: 3.10000000000 or 3.1

We moved the decimal over 11 times. This can be represented by the value 10^11 (pronounced as "10 to the 11th power")

Now, we combine these two to create 3.1 x 10^11

We must multiply the 3.1 by 10^11 in order to create the same amount as 310,000,000,000 (310 billion). If we were to leave 3.1 alone, it would not represent 310 billion.

Thus, we leave this as 3.1 x 10^11 which is scientific notation.

5 0

3 years ago

Please this is important I really need help

Softa [21]

Answer:

The answer is <DOE

<DOE + <COD = A straight LINE, a.k.a, a LINEar pair

5 0

3 years ago

Jeff has a box containing 26 tiles, each with a different letter of the alphabet. he randomly draws 4 letters, one at a time wit

MArishka [77]

The probability to choose letter n is $\frac{1}{26}$ . After drawing letter n there left 25 letters and the probability to choose the letter w is $\frac{1}{25}$ . After drawing two letters n and w there left 24 letters and then the probability to choose letter b is $\frac{1}{24}$ . After drawing three letters n, w and b there left 23 letters, so the probability to choose letter t is $\frac{1}{23}$ .
Using the product rule for probabilities, you can obtain that $P= \frac{1}{26} * \frac{1}{25} * \frac{1}{24}* \frac{1}{23} =0.0000027$ .

8 0

3 years ago