The solution to this puzzle is 10+3 = 13
<h3>How to solve the puzzle</h3>
To solve this the values at the top of the star were gotten by the addition of two values inside the stars.
- 3 + 12 = 15
- 12 + 4 = 16
- 4 + 2 = 6
- 2 + 10 = 12
- 10 + 3 = 13
Therefore the answer to this question is 13.
Another way of getting the value is by adding 15 + 16 = 31
12 + 6 = 18
31-18 = 13
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Answer:

Step-by-step explanation:
remember that,
<u>if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior </u><u>angles</u>
thus our equation is

cancel out 86° from both sides:

hence,
the measure of the missing angle is 49°
Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Prob(spinning a number < 3on 1 spin) = Prob( spinning 1 or 2) = 2/5
Prob( spinning <3 3 times) = 2/5 * 2/5 * 2/5 = 8/125
These events are independent so we multiply the probabilities.