Answer:
Last option is the correct answer.
Step-by-step explanation:
Total number of movies = 9+7+4=20
The total number of combinations of choosing 3 movies from total 20 is represented by 20C3. Then there are 9 action movies and we're choosing 3, the number of combinations will be 9C3,
Now, the probability of choosing all action movies will be:
As we know that probability of something which is not happening is given as : 1 - probability of something happening, so the probability of not choosing all action movies is given by: 
Hence, option D or last option is the right one.
2f'(x)+2x(f(x))^3+3x^2(f'(x))=0
f(3)=-2, x=3
2f'(3)+2*3*-2^3+3*-2^2*f'(3)=0
2f'(3)-48+12f'(3)=0
14f'(3)=48
f'(3)=48/14=24/7
Answer:
9 weeks
Step-by-step explanation:
Assuming he takes equal number of quizzes weekly then having taken 24 quizzes within 4 weeks means for every week Carson took 24/4=6 quizzes per week.
With a target of 54 quizzes this quater and while maintaining 6 quizzes per week then Carson will take 54/6= 9 weeks to meet thw target.
Therefore, Carson needs 9 weeks this quater
Answer:
12>x>10
Step-by-step explanation:
-25<-3x+5
-3x+5<-31
Answer:
20%
Step-by-step explanation:
% increase = (final − initial) / initial × 100%
= (30 − 25) / 25 × 100%
= 20%
