The probability density function of x, the lifetime of a certain type of electronic device (measured in hours), is given by (a) (b) (c) ab (a + b)2(a + b + 1) ⎧ ⎪⎨ 1 0 x > 1 0 f(x) = ⎪x2 ⎩0 x 10 find p{x > 20}. what is the cumulative distribution function of x? what is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? what assumptions are you making?

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.