The lengths of plate glass parts are measured to the nearest tenth of a millimeter. the lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.2, and continuing through 590.8. determine the mean and variance of the lengths. (a) mean (in tenths of millimeters) round your answer to two decimal places (e. g. 98.76). (b) variance (in tenths of millimeters2) round your answer to three decimal places (e. g. 98.765).

Step-by-step explanation:

The mean and variance of a continuous uniform distribution function with parameters m and n is given by :-

Given :

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°