Solve 4x - 6 <5x - 2 < 4x + 3 using algebraic methods.

The solution set in set-builder notation is:

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then he wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. A rocket is launched from atop a 76-foot cliff with an initial velocity of 135 ft/s. A.

Suppose that a population of bacteria triples every hour and starts with 400 bacteria. Find an expression for the number n of bacteria after t hours. n (t) = Use it to estimate the rate of growth of the bacteria population after 3.5 hours.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 57 times, keeping track of the numbers that are rolled.

5) There are 45 applicants for two Software Tester positions. A) 990 B) 1,980 C) 198 D) 4,950

Say if you drive 240 miles at a unit rate of 60 miles per hour, how many hours would it take to drive 240 miles? explain what you would do.

The length of a rectangular is 2/5 meter. It's width is 1/4 of its length. What is the perimeter of the rectangle?

A 25 -ft ladder is leaning against a house when its base starts to slide away. By the time the base is 24 ft from the house, the base is moving away at the rate of 7 ft/sec. a. What is the rate of change of the height of the top of the ladder? b.

Without using a calculator, explain why the solution to each equation must be a real number between 1 and 2. 11^x = 12

Suppose that 5 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 5 are not black?