3 = v
2 = b
3h+2h is less than or equal 30
v+b is greater than or equal to 12
so it is the last set of inequalities
(1-sin²x)(sec x)
(1-sin²x) = cos²x (since sin²x +cos²x = 1)
(sec x) = 1/cosx
(cos²x) . (1/cosx) ==>(cos²x)/cosx) ==> ===> cosx
Answer:
2012.87
Step-by-step explanation:
Increased amount = 17% of 2024 = 0.17 * 2024 = 344.08
Amount after increment = 2024 + 344.08 = 2368.08
Decreased amount = 15% of 2368.08
= 0.15 * 2368.08
= 355.212 = 355.21
Final amount = 2368.08 - 355.21 = 2012.87
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = .
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = .
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
It is given that,
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is . So,
Multiply both sides by 75.
Therefore, the number of blue marbles in the bag is 6.