A referee flips a coin three times. Identify the sample space (the correct list of possible outcomes) for the referee's results.
H = heads, T = tails
The notation HHT means the first toss was heads, the second toss was
heads, and the third toss was tails.
O A. {TT, TH, HT, HH}
O B. {, THTH, }
O C. {TTT, TTH, HHH)
D. {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}

D)   { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT}

The sample space

 = { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT}

n(S) = 8

Step-by-step explanation:

Explanation:-

A referee flips a coin three times.

Let 'S' be the sample space

HHH → Three tosses has Heads

HHT → → first toss head , the second toss head and the third toss was tail

TTT→  Three tosses has tails

THH→ first toss one tail , the second toss head and the third toss was head

TTH → first toss one tail , the second toss Tail and the third toss was head

THT → first toss one tail , the second toss Head and the third toss was Tail

HTH→ first toss one head , the second toss Tail and the third toss was head

HTT→ first toss head , the second toss Tail and the third toss was tail

The sample space

 = { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT} = 8

36

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.