Answer:
The fruit company’s expected returns are 10.8%
Step-by-step explanation:
The expected returns of the fruit company is given by
For the given case,
Returns in normal rainfall = x₁ = 20% = 0.20
Returns in drought = x₂ = -3% = -0.03
Probability of normal rainfall = P(x₁) = 60% = 0.60
Probability of drought = P(x₂) = 40% = 0.40
So, the expected value of returns is
Therefore, the fruit company’s expected returns are 10.8%
Answer: 111.4m
Explanation:
1) Trigonometric ratios
You only need to use tangent ratio.
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
2) First, find the height of the ballon when he is watching at an angle of elevation of 28°
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
tan(28°) = balloon height/65m ⇒balloon height = tan(28°)×65m
balloon height = 34.56m
3) Second, find the height of the balloon,when he is watching at an angle of elevation of 66°
tan(66°) = height of the balloon / 65m ⇒ height of the balloon = tan(66°)×65m
height of the balloon = 145.99m
4) Vertical distance the balloon ascended while Charlie watched.
Subtract the final initial height from the final height:
145.99m - 34.56m = 111.43m
4) Round to the nearest tenth: 111.4 m
30 inches is longer than 2 feet
