A shop sells orange juice in the following ways: 250 ml bottle for £0.75
1.25 l carton for £2.30 each or 2 cartons for £3
2 l carton for £3.75

What's the cheapest way of buying exactly 3 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 3 litres.

Describe the possible echelon forms of the standard matrix for a linear transformation t where t: set of real numbers is onto.

The perimeter of a rectangle is greater than or equal to 74 meters. if the length is 25 meters, the minimum width of the rectangle is meters.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)