5. David made up a set of two 6-sided dice with these numbers on them.
16 marks]
IF
-3, -2, -1, 0, 1, 2
Suppose the pair of dice is tossed.
a. list all the ways to get a sum of -4
b. list all the ways to get a sum of 0.
c. list all the ways to get a sum of -1
d. If the dice were tossed 100 times, which sum would be the most popular? Explain your

a. 3 ways: -3 and -1; -2 and -2; -1 and -3

b. 5 ways: -2 and 2; -1 and 1; 0 and 0; 1 and -1; 2 and -2

c. 6 ways: -3 and 2; -2 and 1; -1 and 0; 0 and -1; 1 and -2; 2 and -3

d. A sum of -1 would (probabilistically) be the most popular. There are 36 (6 x 6) possible outcomes every time you roll two 6-sided dice. In this case, the possible outcomes are:

-6: 1 way

-5: 2 ways

-4: 3 ways

-3: 4 ways

-2: 5 ways

-1: 6 ways

0: 5 ways

1: 4 ways

2: 3 ways

3: 2 ways

4: 1 way

So -1 is the most likely sum since it can be rolled 6 different ways, which is more ways than any other sum. A sum of -1 will be rolled 6/36 (or 1/6) of the time.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.