A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of inches, the company wants the mean height the balls bounce upward to be inches. This average is maintained by periodically testing random samples of tennis balls. If the t-value falls between and  , then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of balls is randomly selected and tested. The mean bounce height of the sample is inches and the standard deviation is inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find and . nothing nothing

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answer: check all that apply, where the options?

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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