Answer:
9 m/s
Step-by-step explanation:
To calculate the change in the tram's elevation each second, you must divide the given figures which is now the given formula of
;
÷ 

Therefore, the change in the tram's elevation is 9 each second.
Answer:
The required probability is 0.167
Step-by-step explanation:
Consider the provided information.
Let x be the number of breakdown per day.
A new automated production process averages 1.4 breakdowns per day.
λ=1.4
Probability of having three or more breakdowns during a day is:
![P(x\geq 3)=1-[f(0)+f(1)+f(2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5Bf%280%29%2Bf%281%29%2Bf%282%29%5D)
The Poisson probability function is: 
Therefore the required probability is:
![P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5B%5Cfrac%7B%5Cleft%281.4%5E%7B0%7De%5E%7B-1.4%7D%5Cright%29%7D%7B0%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B1%7De%5E%7B-1.4%7D%5Cright%29%7D%7B1%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B2%7De%5E%7B-1.4%7D%5Cright%29%7D%7B2%21%7D%5D)


Hence, the required probability is 0.167
Answer:
D, the bottom right
Step-by-step explanation:
A dilation by a factor of 3 would have values 3 times larger. So the original which has side lengths 2, 6, and 3 would become
2*3 = 6
6*6 = 36
3*6 = 18
The figure which has these measurement is D or the bottom right.
Answer:
3. 273
4. 168
5. 189.25
Step-by-step explanation:
3. Triangle= .5 x 17 x 6 = 21
Rectangle= 18 x 14 = 252
252 + 21 = 273
4. Big rectangle (shaded)= 11 x18= 198
Small rectangle (right)= 5x4=20
Smaller rectangle (left)= 2x5=10
BR - (SR+SMR)
198-30=168
5. radius=5
Area of the circle= 25(pi)
Semi-circle= 39.25(not exact)
Rectangle= 10 x15=150
Rectangle + Semi-circle
150+39.25=189.25