Answer:
a) 0.064
b) 0.109
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 181 centimeter
Standard Deviation, σ = 7.3 centimeter
We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.
Formula:
a) P(person is between 160 and 170 centimeters)
b) P(person is higher than 190 centimeter)
P(x > 190)
Calculation the value from standard normal z table, we have,
Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
Divide both sides by 0.91.
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
