The probability of getting exactly zero tails is 1/8.
Step-by-step explanation:
When a fair coin is tossed three time, the set of equally likely outcomes is:
S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}
n(S)=8
Let A be the event that there are exactly zero tails which means there are all heads
Then
A= {HHH}
n(A)=1
![P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7Bn%28A%29%7D%7Bn%28S%29%7D%5C%5C%3D%5Cfrac%7B1%7D%7B8%7D)
The probability of getting exactly zero tails is 1/8.
Keywords: Probability, Equally likely events
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U just have to find original amount (100%) and that is the amount he made last week.
Answer:
1,500 tickets in total (375 adult tickets and 1,125 children tickets)
Step-by-step explanation:
Let x be the number of adult tickets sold.
Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.
Children tickets were three dollars, so 3x children tickets cost ![\$3\cdot 3x=\$9x.](https://tex.z-dn.net/?f=%5C%243%5Ccdot%203x%3D%5C%249x.)
Adult tickets were seven dollar, so x adult tickets cost ![\$7\cdot x=\$7x.](https://tex.z-dn.net/?f=%5C%247%5Ccdot%20x%3D%5C%247x.)
The school sold $6000 worth of tickets.
Hence,
![9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500](https://tex.z-dn.net/?f=9x%2B7x%3D6%2C000%5C%5C%20%5C%5C16x%3D6%2C000%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B6%2C000%7D%7B16%7D%3D375%5C%5C%20%5C%5C3x%3D1%2C125%5C%5C%20%5C%5Cx%2B3x%3D375%2B1%2C125%3D1%2C500)
Answer:
see explanation
Step-by-step explanation:
∠1 = 58° ( alternate angles )
∠1 and ∠2 form a straight angle and are supplementary, thus
∠2 = 180° - 58° = 122°