Tim rolls two six-sided dice and flips a coin.

Mathematics

1 answer:

AlekseyPX4 years ago

6 0

Answer:

<h2> C. 5, 2, Tails is not a possible outcome</h2>

Step-by-step explanation:

We are presented with three items

two dices and a coin

The sample space for a dice is S=(1,2,3,4,5,6)

and the sample space for a coin is S=(head and tail)

In the options provided all are possible outcomes for the two dices and the coin except for options "C" ,and this is because "8" is not a sample space in a dice

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Show that the relation R consisting of all pairs(x, y)such that x and y are bit strings of length three or more that agree in th

Mice21 [21]

Answer:

See proof below

Step-by-step explanation:

An equivalence relation R satisfies

Reflexivity: for all x on the underlying set in which R is defined, (x,x)∈R, or xRx.
Symmetry: For all x,y, if xRy then yRx.
Transitivity: For all x,y,z, If xRy and yRz then xRz.

Let's check these properties: Let x,y,z be bit strings of length three or more

The first 3 bits of x are, of course, the same 3 bits of x, hence xRx.

If xRy, then then the 1st, 2nd and 3rd bits of x are the 1st, 2nd and 3rd bits of y respectively. Then y agrees with x on its first third bits (by symmetry of equality), hence yRx.

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3 years ago

The average of A and B is 6. The average of X, Y, and Z is 16. What is the average of A, B, X, Y, and Z?

ser-zykov [4K]

Answer:

Step-by-step explanation:

Average of A and B is 6

(A+B) /2 = 6

Multiply each side by 2

A+B = 12

average of X, Y, and Z is 16

(X+Y+Z)/3 = 16