Amachine producing vitamin e capsules operates so that the actual amount of vitamin e in each capsule is normally distributed with a mean of 4 mg and a standard deviation of 0.05 mg. let x = the actual amount of vitamin e in a randomly selected capsule. (round your answers to four decimal places.) g what is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin en p (x 5.8) at least 6.5 mg? p (x 2 6.5)

An equation where variables are used to represent known values—function notation true or false

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?