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uranmaximum [27]
3 years ago
7

PLEASE HELP ASAP!!!! I really need to understand this for my math class. Any help is appreciated.

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= (2x² - 9x) + (3x - 2) = 2x² - 6x - 2.

Therefore (f + g)(3) = 2(3)² - 6(3) - 2 = -2.

(f - g)(x) = f(x) - g(x)

= (2x² - 9x) - (3x - 2) = 2x² - 12x + 2.

Therefore (f - g)(-4) = 2(-4)² - 12(-4) + 2 = 82.

(g o f)(x)

= g(2x² - 9x) = 3(2x² - 9x) - 2 = 6x² - 27x -2.

(f o g)(x)

= f(3x - 2) = 2(3x - 2)² - 9(3x - 2) = 18x² - 51x + 26.

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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)

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= 0.8417877 = 0.0842 (rounded to 3 decimal places)



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algol13

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