Practice Mathematics II questions with answers and explanations.
Percentage=(13/28)×100=46.43.
Subtract 6 from both sides and divide by 6: x = (48-6)/6 = 7.
By Vieta’s formula, the sum of the roots equals the coefficient 18.
aₙ=a₁+(n−1)d=5+(8−1)×4=33.
Subtract 5 from both sides and divide by 5: x = (35-5)/5 = 6.
By Vieta’s formula, the sum of the roots equals the coefficient 15.
aₙ=a₁+(n−1)d=4+(7−1)×3=22.
Choose an option to check your answer.
The sum is n(n+1)/2=28, so the mean is 28/7.
Choose an option to check your answer.
There are 5 favourable outcomes out of 10 equally likely outcomes, so P(red)=5/10.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=12x²+10x. Substituting x=3 gives 138.
An antiderivative is 3/2 x²+4x. At x=4, the value is 40.0.
