Answer:
x = -11
Step-by-step explanation:
Let the Triangle be named 'ABC'
In Triangle ABC,
∠A = x + 51
∠B = 80 (Intersecting lines, Vertically opposite Angles)
∠C = 60 (Intersecting lines, Vertically opposite Angles)
∠A + ∠B + ∠C = 180 (Sum of angles of Triangle = 180)
x + 51 + 80 + 60 = 180
=> x + 191 = 180
=> x = 180 - 191
=> x = -11
Answer:
w = 400
Step-by-step explanation:
2400 = lw
Divide the area by two.
2400 / 2 = 1200
Now this cannot be the answer since the length is longer than the width.
Divide 1200 by two again.
1200 = 600
Notice there are two choices that are the closest:
w = 800
w = 400
The latter choice would be the answer since again, the length is longer than width in terms of measurement
Answer:
Slope is -2/7
Step-by-step explanation:
Slope formula is y₂-y₁/x₂-x₁
So...
(x₁,y₁) and (x₂,x₂) →(2,2) and (-5,4)
4-2= 2
-5-2= -7
2/-7
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter 
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
