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
Using the graph:
x f(x)
-1 -6
0 -3
1 2
2 9
h(x) = 4x - 3
h(-1) = 4(-1) - 3 = -4-3 = -7
h(0) = 4(0) - 3 = -3
h(1) = 4(1) - 3 = 4 - 3 = 1
h(2) = 4(2) - 3 = 8 - 3 = 5
<span>For which value of x does f(x) have a greater value than h(x)? f(x) has a greater value than h(x) when x = 2.</span>
If you were to add the question i could answer it for you.
2/5 = 8/20
3/4= 15/20
Therefore, 3/4 is larger than 2/5~