Answer: the height of a flower in the field is 13.6 centimeters.
Step-by-step explanation:
Since the heights of different flowers in a field are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of different flowers.
µ = mean height
σ = standard deviation
From the information given,
µ = 12.7 centimeters
σ = 2.3 centimeters
The z-score is 0.4
Therefore,
0.4 = (x - 12.7)/2.3
Cross multiplying by 2.3, it becomes
0.4 × 2.3 = x - 12.7
0.92 = x - 12.7
x = 0.92 + 12.7
x = 13.6 centimeters to the nearest tenth
