Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft
Step-by-step explanation: Please refer to the attached diagram
From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)
With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.
Tan B = opposite/adjacent
Tan 70 = x/600
When we cross multiply, we now have
Tan 70 × 600 = x
2.7475 × 600 = x
1648.5 = x
Rounded to the nearest feet
x = 1,649 feet
Since the problem doesn’t give a definite question, here are
the possible questions and answer:
P(fewer than 4 tosses)
= P(one toss) + P(two toss) + P(3 toss)
= (3/4) + (3/4)(1/4) + (3/4)(1/4)^2
= 0.984375
Expected value
= 1 / p
= 1 / (3/4)
= 4 / 3
Variance
= (1 - p) / p^2
= (1 - (3/4)) / (3/4)^2
= (1/4) / (9/16)
= 4 / 9
Standard deviation
= sqrt(Variance)
= sqrt(4 / 9)
= 2 / 3
Answer:
6
Step-by-step explanation:
Answer:
m = 1
Step-by-step explanation:
m = (-13 - - 10) / (3 - 6)
m = -3/-3
m = 1
8u+3<19 subtract 3 from both sides
8u<16 divide both sides by 8
u<2 so
-9 is in the solution set u=(-oo, 2)