A jar contains 99% fair coins, and 1% double-headed coins. you took a coin at random, then toss it 3 times and observed 3 heads.
2 answers:
The probability of getting 3 heads in 3 tosses of a fair coin is:
The probability of selecting a fair coin and getting 3 heads in 3 tosses is:
The probability of selecting a double-headed coin and getting 3 heads in 3 tosses is:
The probability of selecting a coin and getting 3 heads in 3 tosses is:
0.12375 + 0.01 = 0.13375
The probability that a double-headed coin was picked is:
0.01/0.13375 = 0.0748
The answer is 0.0748 or 7.48%
The probability of selecting a fair coin and getting 3 heads in 3 tosses is:
The probability of selecting a double-headed coin and getting 3 heads in 3 tosses is:
The probability of selecting a coin and getting 3 heads in 3 tosses is:
0.12375 + 0.01 = 0.13375
The probability that a double-headed coin was picked is:
0.01/0.13375 = 0.0748
The answer is 0.0748 or 7.48%
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Answer: Raymond is correct
The DJ charges $75 an hour.
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Explanation:
x = number of hours
y = total cost
The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)
Another point is (5,425) because a 5-hour event costs $425.
Let's find the slope of the line through these two points.
The slope is 75, meaning that each time y goes up by 75, x goes up by 1.
Flipped around it means each time x goes up by 1, y goes up by 75.
This means each time we add on an extra hour, the cost goes up by $75.
The DJ charges $75 an hour. Raymond is correct.
Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Step-by-step explanation:
We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.
Writing in mathematical form:
Solving:
Factorizing the numerator:
So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Keywords: Simplifying Expressions
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