A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.9 years, and standard deviation of 3.7 years. The 3% of items with the shortest lifespan will last less than how many years?

Determine the domain and range of the given function. the domain is all real numbers all real numbers greater than or equal to –2{x: x = –2, –1, 0, 1, 2}{y: y = –2, –1, 0, 1, 2}. the range is all real numbers all real numbers greater than or equal to –2{x: x = –2, –1, 0, 1, 2}{y: y = –2, –1, 0, 1, 2}.

Analyze the diagram below and complete the instructions that follow. 600413 300 find the value of x and the value of y. a. x-2-2,-8 b. 1-2, y - 4/6 c. x-2-/2, 7-2-6 d. x-2/3, 7-63

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?