Suppose that a test for opium use has a 2% false positiverate and a 5% false negative rate. That is, 2% of peoplewho do not use opium test positive for opium, and 5% ofopium users test negative for opium. Furthermore, sup-pose that 1% of people actually use opium. a)Find the probability that someone who tests negativefor opium use does not use opium. b)Find the probability that someone who tests positivefor opium use actually uses opium.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label

3x + 4y = 5 x- 3y = -7 solve by substitution