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Radda [10]
3 years ago
13

PLEASE HELP- Tito solved this equation (Click picture) Which of the following properties did he use? Check all that apply.

Mathematics
2 answers:
Korvikt [17]3 years ago
7 0

Answer:

Distributive Property and Addition Property of Equality

Step-by-step explanation:

olchik [2.2K]3 years ago
3 0
<span>The correct answers are ‘distributive property' and ‘addition property of equality'. The distributive property can be observed between the first and second lines when the brackets are expanded. The addition property can be seen when -2x is added to both sides to change 6x + 10 - 2x = 22 + 2x - 2x into 4x + 10 = 22.</span>
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Joey has a playlist that he listens to on his walk to school each morning. The songs are played at random, and none of the songs
ryzh [129]

Answer:

0.1515 = 15.15% probability that the first two songs that play are both country songs

Step-by-step explanation:

Songs are not repeated, which means that they are chosen without replacement, and the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

His playlist contains 5 country songs, 3 alternative songs, and 4 hip-hop songs. What is the probability that the first two songs that play are both country songs?

5 + 3 + 4 = 12 total musics, which means that N = 12

5 country, which means that k = 5

First two, which means that n = 2

The probability is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,5) = \frac{C_{5,2}*C_{7,0}}{C_{12,2}} = 0.1515

0.1515 = 15.15% probability that the first two songs that play are both country songs

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