What is the vertex of the quadratic function f(x)=(x-6)(x+2)?
1 answer:
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Answer:
24% probability that both fund A and fund B will rise in price
Step-by-step explanation:
We have these following probabilities:
40% probability that fund A will rise in price.
If fund B rises in price, 60% probability that fund B does.
What is the probability that both fund A and fund B will rise in price
40% of A, and if A rises, 60% is B. Since the only outcome that interests us is both rising in price, we multiply these probabilities
24% probability that both fund A and fund B will rise in price
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
