Answer:
.83333333 or 5/6
Step-by-step explanation:
Make common denominator
204/468 + 429/468 = 633/468 - (195/468 + 48/468)
Simplify: 633/468 - 243/468
390/468 can be further broken down to 5/6 if you divide by a common factor which is 78.
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
Answer:
146 °
Step-by-step explanation:
sum of angles in circle = 360°
360 - 154-60-86 = 60
60 = UPS
SPQ = UPS + QUP = 60 + 86 = 146°