Mason is plays a game flipping two fair coins. he wins if both coins land heads up. if mason plays 200 times, how many times should he expect to win.

Mason should win about 50 games

Step-by-step explanation:

There are four possibilities when flipping two coins:

1st coin could be heads (H) or tails (T)

and

2nd coin could be heads (H) or tails (T)

multiply these together and you get 4

the sample space would look like this:

H and H

H and T

T and H

T and T

Mason only wins when there is a head followed by a head. This is 1 out of the four outcomes.  His chances of winning is 1 in 4, or 25%. If mason plays 200 times, you should expect him to win about 25% of the time. 25% of 200 is 50. Mason should win about 50 games.

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: