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Rus_ich [418]
3 years ago
14

Vertical Angles

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

1. m<2 = 115 °

2. m<5 = 83 °

3. m<8 = 45 °

4. m<4 = 137 °

Step-by-step explanation:

1. Determination of m<2

m<1 = 115 °

m<2 =?

m<2 = m<1 (vertically opposite angles are equal)

m<2 = m<1

m<2 = 115 °

2. Determination of m<5

m<6 = 83 °

m<5 =?

m<5 = m<6 (vertically opposite angles are equal)

m<5 = m<6

m<5 = 83 °

3. Determination of m<8

m<9 = 45 °

m<8 =?

m<8 = m<9 (vertically opposite angles are equal)

m<8 = m<9

m<8 = 45 °

4. Determination of m<4

m<3 = 137 °

m<4 =?

m<4 = m<3 (vertically opposite angles are equal)

m<4 = m<3

m<4 = 137 °

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According to a study conducted by the Toronto-based social media analytics firm Sysomos, 75% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January ). Suppose we randomly select tweets.

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     We also have the probability of failure which is denoted as q and is equivalent to 1-p

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In binomial distribution the probability of x success and (n-x) is mathematically represented as

           P[X =x] =[\left n} \atop x}} \right. ] p^x (1-p)^{n-x}

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Now [\left n} \atop x}} \right. ]  = \frac{n!}{x(n-x)!}

Now the mean(Expected number ) of these probability in binomial distribution is mathematically represented as

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And the variance is mathematically represented as

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                     \sigma = \sqrt{np(1-p)}

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