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Anna007 [38]
4 years ago
10

Find the measurement of angle g.

Mathematics
1 answer:
Dafna1 [17]4 years ago
4 0

Answer:

G = 110

Step-by-step explanation:

The figure is a quadrilateral, which means the sum of the angles is 360

We know that angle E and G are the same

100+40 + E + G  =360

Combine like terms

140 +E+G = 360

Replace E with G since we are looking for G

140 + G + G = 360

140 +2G = 360

Subtract 140 from each side

140-140+2G=360-140

2G = 220

Divide by 2

2G/2 =220/2

G = 110

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Answer:

a. 0.114

b. 0.005

c. 0.381

d. 0.00

Step-by-step explanation:

If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:

P(x=k)=\frac{(rCk)*((N-r)C(n-k))}{NCn}

Where k≤r and n-k≤N-r, Additionally:

aCb=\frac{a!}{b!(a-b)!}

So, replacing N by 10, n by 4 and r by 6, we get:

P(x=k)=\frac{6Ck*((10-6)C(4-k))}{10C4}=\frac{6Ck*(4C(4-k))}{10C4}

Then, the probability that x is equal to 1, P(x=1) is:

P(x=1)=\frac{6C1*4C3}{10C4}=0.114

The probability that x is equal to 0, P(x=0) is:

P(x=0)=\frac{6C0*4C4}{10C4}=0.005

The probability that x is equal to 3, P(x=3) is:

P(x=3)=\frac{6C3*4C1}{10C4}=0.381

Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.

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3 years ago
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3 years ago
What is the slope of a line perpendicular to
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allochka39001 [22]

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attashe74 [19]

Answer:

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3 0
3 years ago
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