Two unfair dice are rolled independently. The first has 0.5 probability of landing on a 6,with equal probability for the other faces. The second has 0.1 probability of landing on a 1,with equal probability for the other faces. LetXbe the sum of the numbers appearing on the two dice, and letYbe the product. Compute the following, leaving your answer as a single decimal number:(a)E(X)(b)E(Y)(c)V(X)Note:Ca lculator use is allowed.

Find the slope of the line passing through a pair of points

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.