The proportion of the budget for a certain type of industrial company that is allotted to environmental and pollution control is coming under scrutiny. A data collection project determines that the distribution of these proportions is given by f(y) = 5(1−y)⁴, for 0 ≤ y ≤ 1, f(y) = 0, elsewhere.
(a) Verify that the above is a valid density function.
(b) What is the probability that a company chosen at random expends less than 10% of its budget on environmental and pollution controls?
(c) What is the probability that a company selected at random spends more than 50% of its budget on environmental and pollution controls?

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

i cant answer this, theres no table. sorry man

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