Answer:
2308.5
Step-by-step explanation:
Multiply and divide by 2
Answer:the distance from the headquarters from a point on the ground directly below the balloon is
175 feet
Step-by-step explanation:
The right angle triangle ABC formed is shown in the attached photo. C represents the position of the balloon.
A represents the position of the ranger headquarters.
x represents the distance from the headquarters from a point on the ground directly below the balloon.
1 minute = 0.0167 degrees
Converting 43' to degrees, it becomes 43 × 0.0167 = 0.7181
Angle A = 66 + 0.7181 = 66.7181 degrees.
We would apply trigonometric ratio
Tan # = opposite side/ adjacent side
# = 66.7181 degrees.
opposite side = 1106
Tan 66.7181 = 1106/x
6.324 = 1106/x
x = 1106/6.324
x = 175 feet
Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:

Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:

Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:

So the probability of drawing a diamond, then a spade, then another diamond is
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Answer:
dont know
Step-by-step explanation:
sorry