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arsen [322]
3 years ago
5

Find the measurement of <P​

Mathematics
2 answers:
Ivanshal [37]3 years ago
5 0

Step-by-step explanation:

angle P+ angle Q+ angle R= 180°

angle P+67+28=180

angle P= 180-95

angle P= 85°

melisa1 [442]3 years ago
4 0
The measurement of P is 85 degrees. The angles of a triangle always add up too 180 degrees!!
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In a binomial distribution, n = 12 and π = .60.
Lemur [1.5K]

For binomial distribute we use formula

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the probability mass function of the binomial distribution is:

nCr (\pi)^r (1-\pi)^{n-r}

Given n = 12 and π = .6. (Replace the values)

the probability for x = 5, we need to find P(x=5). Here r= 5

P(x=5)= 12C5(\pi )^5 (1-\pi)^{12-5}

= 12C5(0.6 )^5 (0.4)^{7}= 0.10090 = 0.101

(b) the probability for x ≤ 5

P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)

P(x<=5) = 12C0(0.6 )^0(0.4)^{12} + 12C1(0.6 )^1(0.4)^{11} +  12C2(0.6 )^2(0.4)^{10} + 12C3(0.6 )^3(0.4)^{9} + 12C4(0.6 )^4(0.4)^{8} + 12C5(0.6 )^5 (0.4)^{7}

= 0.15821229 = 0.158

(c) find the probability for x ≥ 6

P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)

P(x>=6) = 12C6(0.6 )^6(0.4)^{6} + 12C7(0.6 )^7(0.4)^{5} + 12C8(0.6 )^8(0.4)^{4} + 12C9(0.6 )^9(0.4)^{3} + 12C10(0.6 )^{10}(0.4)^{2} +   12C11(0.6 )^{11}(0.4)^{1}  +  12C12(0.6 )^{12}(0.4)^{0}

= 0.8417877 = 0.0842 (rounded to 3 decimal places)



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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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I’m not sure if this is the equation you are looking for, but saying that “Z” is equal to “y + 10” is like saying that “Z” is greater than “y” by ten.

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Answer:

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