Question
A bag contains 35 white and some black balls. If the
probability of drawing a black ball from the bag is 1.8 times that of drawing a white ball, find the number of black balls in the bag.Solution
Given, Number of white balls = 35 Let x be the number of black balls. Total number of balls in the bag = 35 + x Also, the probability of drawing a black ball from the bag is 1.8 times that of drawing a white ball. ⇒ x/(35 + x) = 1.8[35/(35 + x)] ⇒ x = 63 Hence, the number of black balls in the bag = 63.
In a right triangle, the sides are in the ratio 3:4:5. A circle is inscribed in the triangle. What is the area of the triangle covered by the circle?Â
A is 60% as efficient as B, and C is 50% as efficient as A. If A, B, and C working together can finish a task in 15 days, how many days will it take for...
Which of the following graphical models represents the relationships between entity sets in a database?
One-fifth of a number is equal to two-fifths of 25% of another number. Determine the ratio of the two numbers.
If log₂(x) + log₄(x) + log₈(x) = 11, with x > 0, then the value of x is:
A rectangular park is 120 m long and 80 m wide. A path of uniform width is constructed inside the park. If the area of the path is 3600 m², find the wi...
A and B initiated a business by investing Rs. 6,000 and Rs. 3,000, respectively. Their investments were made for 8 months and 'm'...
The average score of 24 students in a class is 78. If the top 4 scores are removed, the new average score of the remaining students drops by 2 points, w...
? = (3.89 × 64.83 ÷ 12.96) 1.98 + 15.08% of 499.81