An oil exploration company intends to drill an exploratory well in each of two geologically unrelated regions A and B. If the probability of finding oil in significant quantities is assessed as ⅛ for area A and 1/10 for area B, what is the probability that at least one of the wells will be successful?
If sec θ + tan θ = x, what is the value of sec θ in terms of x?
A circle has a radius of 15 cm, and a chord subtends a central angle of 60° at the center. Find the area of the segment formed by the chord.
If sin⁶ x + cos⁶ x = 7/8, find sin⁴ x + cos⁴ x:
Ten years from now, the ages of A and B will be in a ratio of 7:9. C's current age is half of B's current age. Five years from now, the ratio of C's age...
The average salary of 12 employees in a company is 60,000. If the CEO's salary is included, the average salary increases by 5,000. If another employee w...
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the radius of the circumcircle of this triangle?
The area of rhombus is 270m² and one of its diagonal is 18 m. Find the length of another diagonal.
In a right-angled triangle, one angle is 60°. If the hypotenuse is 12 cm, find the length of the side opposite the 60° angle.
A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that both balls are red.
4, 5, 18, 95, 672, ?.
