How does the Counting Principle help when determining the sample space for a probability distribution?

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

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Can someone please help me factor and write the equations for these two problems ?

prisoha [69]

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = $\frac{3x}{x^2-3x-10}$

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

= x(x - 5) + 2(x - 5)

= (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = $\frac{3x}{(x + 2)(x - 5)}$

Asymptotes 4

h(x) = $\frac{(x-5)}{x^{2} + 14x + 40}$

= $\frac{x-5}{x^{2}+10x+4x+40}$

= $\frac{x-5}{x(x+10)+4(x+10)}$

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5 0

3 years ago

What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375

Anna [14]

C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427

8 0

3 years ago

Graph the function y = |8 - 2x| + 3. Which is a point on the function? (6.2, 7.4) (7.8, 11.2) (8.6, 6.8) (9.6, 7.3)

Fiesta28 [93]

For this case we have the following function:
$y = | 8 - 2x | + 3
$
The first thing you should do is graph the function to see the behavior.
When observing the graph (in the attached image) we observe that the following point belongs to the graph:
$(6.2, 7.4)
$
To prove it, let's evaluate the point in the function:
$7.4 = l 8 - 2 (6.2) l + 3

7.4 = l 8 - 12.4 l + 3

7.4 = l -4.4 l + 3

7.4 = 7.4$
The equation is fulfilled and therefore the point belongs to the graph.
Answer:
(6.2, 7.4)
See attached image