What is the perimeter of the Pentagon

In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1

lora16 [44]

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.

Given probabilities are:

$\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x$

The sum of these probabilities will be equal to 1.

So,

To find x,

$\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}$

The value of x is 1/5

Keywords: Probability, Distribution

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7 0

3 years ago

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For a pair of similar triangles, corresponding sides are always congruent. True or false?

baherus [9]

That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)

6 0

4 years ago

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The mean age of swimmers for all these teams is 10 Which team has the greatest MAD?

Ymorist [56]

The answer is Jasons!

7 0

3 years ago

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The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5

Alona [7]

Answer:

I just did it its 1/3n - 5

Step-by-step explanation:

5 0

3 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C