Given :
Hight of the van from the ground, h = 3 feet.
The ramp into the van makes a 12° angle with the ground.
To Find :
How long is the ramp.
Solution :
Let, length of ramp is l .
So, height of ramp in terms of length is given by :
![h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet](https://tex.z-dn.net/?f=h%20%3D%20l%20%5Ctimes%20sin%5C%2012%5Eo%5C%5C%5C%5Cl%20%3D%20%5Cdfrac%7Bh%7D%7Bsin%20%5C%2012%5Eo%7D%5C%5C%5C%5Cl%20%3D%20%5Cdfrac%7B3%7D%7Bsin%20%5C%2012%5Eo%7D%5C%5C%5C%5Cl%20%3D%2014.429%20%5C%20feet)
Hence, this is the required solution.
Answer:
it would be b or 8 in
Step-by-step explanation:
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
Mult. $7.25 by 4 times 4 (4 PIZZAS per week, for 4 weeks):
$7.25(4)(4) = $116
Fine dining: 2($85) = $170
So, the fine dining costs more!