Answer:
Vertical distance between the valley and the summit = 8062.5 ft
Step-by-step explanation:
Distances above the sea level are denoted by positive notations and below the sea level by negative notation.
Summit of a mountain pass = 8050 (above the sea level)
Valley below the sea level = 12 and half ft = (-12.5) ft
Distance between the summit and the valley = 8050 - (-12.5)
= 8050 + 12.5
= 8062.5 ft
Therefore, Vertical distance = 8062.5 ft will be the answer.
Answer:
∠BEC=90°
Step-by-step explanation:
∠A=∠BCD and ∠ABC=∠D because opposite angles in a parallelogram are equal.
∠A=∠BCD=70
All angles in a quadrilateral add to 360:
∠A+∠ABC+∠BCD+∠D=360
∠ABC+∠D=360-140=220
∠ABC=∠D=110
Since ∠ABC=∠ABE+∠EBC, and ∠ABE=∠EBC (because BE is an angle bisector), ∠EBC=55.
Since ∠BCD=∠BCE+∠ECD, and ∠BCE=∠ECD (because CE is angle bisector), ∠BCE=35.
All angles in a triangle add to 180:
∠BCE+∠EBC+∠BEC=180
35+55+∠BEC=180
∠BEC=180-90
∠BEC=90°
Answer:
(3,11)
Step-by-step explanation:
Turn both equations into linear equations:
y=2x+5
y=5x-4
Then, just graph both equations.
Find the point where the two lines intersect. That point of intersection is the solution. That coordinate is (3,11).
0,0 1,3 2,4 3,8 4,5 5,5 6,2 7,0 hope that helps
Answer:
1. P(A|B) - option 2
2. does not affect - option 2
3. P(A) - option 1
Step-by-step explanation:
By the definition, the notation P(A|B) reads the probability of event A given that event B has occured. So, for the first gap correct choice is 2 - P(A|B).
If events A and B are independent, then the probability of event B occuring does not affect the probability of event A occuring. So, for the second gap correct choice is 2 - does not affect.
Events A and B are independent, then
Use formula for the conditional probability:
Since events A and B are independent, we get
So, for the third gap correct answer is 1 - P(A)
