Solve the following problems, showing any necessary work 1. consider the sentence "when i get up early and i wear maroon, i have a salad for lunch or i stay out late. a. 5 points] rewrite this sentence symbolically. use p for the proposition "i get up early", q for "i b. [5 points negate the formula you came up with in part (a), and translate it back into (reasonably c. [5 points) write the converse of the original sentence. is this sentence equivalent to the original d. [5 points) write the converse of the original sentence. is this sentence equivalent to the original wear maroon", r for "i have salad for lunch", and s for "i stay out late." good) english sentence? sentence? 2. [5 points] prove q, assuming that the following formulas are true. (give a line-by-line proof, like in class. you should only need three more steps.) (1) vp 2) (q-p)a (3) -p

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.