According to a statistical journal, the average lengths of a newborn is 19.6 inches with a standard deviation of 1.2 inches. Th e distribution of lengths is approximately Normal. What is the probability that a newborn baby will have a length of 18 inches or less? (Please include steps)
1 answer:
Answer:
9.18%
Step-by-step explanation:
First, find the z-score.
z = (x − μ) / σ
z = (18 − 19.6) / 1.2
z = -1.33
Use a chart or calculator to find the probability:
P(Z < z) = 0.0918
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The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists Let x represent the number of cyclists. Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence: Revenue = 60x + 15000 Also, the cost of the race is $18 per entry, hence: Cost = 18x They need to raise at least $57,000, hence: Profit ≥ 57000 Revenue - Cost ≥ 57000 (60x + 15000) - 18x ≥ 57000 42x ≥ 42000 x ≥ 1000 Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists