Algebra, arithmetic, reasoning.
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The sum is n(n+1)/2=45, so the mean is 45/9.
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There are 4 favourable outcomes out of 7 equally likely outcomes, so P(red)=4/7.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=9x²+14x. Substituting x=1 gives 23.
An antiderivative is 1/2 x²+3x. At x=2, the value is 8.0.
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Use the circle-area formula A = πr². Substituting r = 5 gives A = π × 5² = 25π.
Percentage=(6/31)×100=19.35.
Subtract 6 from both sides and divide by 7: x = (20-6)/7 = 2.
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There are 3 favourable outcomes out of 11 equally likely outcomes, so P(red)=3/11.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=6x²+12x. Substituting x=4 gives 144.
An antiderivative is 4/2 x²+2x. At x=5, the value is 60.0.
