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Readme [11.4K]
3 years ago
10

A skier skis along a circular ski trail that has a radius of 1.25 km. The skiier starts at the East side of the ski trail and tr

avels in the CCW direction. Let θ θ represent the radian measure of the angle the skier has swept out. Suppose cos ( θ ) = 0.9 cos(θ)=0.9 and sin ( θ ) = 0.43 sin(θ)=0.43. What does the 0.9 in cos ( θ ) = 0.9 cos(θ)=0.9 represent in this context? Select all that apply.
A. The skiier is 0.48 radius lengths to the North of the center of the ski trail.

B. The skiier is 0.88 radius lengths to the East of the center of the ski trail.

C.The skier is 0.48 km to the North of the center ofthe ski trail.

D. The skiier is 0.88 km to the East of the center of the ski trail.
Mathematics
1 answer:
Simora [160]3 years ago
3 0
You’re answer would be A love!
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The bus driver made 6 stops on his way into town. No passengers left the bus. By stop 3, there were 9 passengers on the bus. How
borishaifa [10]
There were 9 passengers on the bus because no passengers got off during the six stops and the fifth stop is within that.
4 0
3 years ago
On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0
3 years ago
Is 5x-7y=3 standard form?
barxatty [35]
Yes it is. Ax+By=C is standard form. :)
7 0
3 years ago
Building a is 271 meters taller than building
kvv77 [185]

Let a and b represent the heights of the corresponding buildings (in meters).

... a = b +271 . . . . . . . a is 271 meters taller than b

... 2b -a = 211 . . . . . . if a is subtracted from twice b, the result is 211

Use the expression for a in the first equation to substitute for a in the second.

... 2b - (b+271) = 211

... b = 482 . . . . . . . . . . . simplify and add 271

... a = b +271 = 753

Building a is 753 meters tall; building b is 482 meters tall.

4 0
3 years ago
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
wel

Answer:

66%

Step-by-step explanation:

- First, add 20 + 10 = 30. This will give you the total amount of games.

- Now, make this into a fraction for won games. This should be 20/30.

- Next, take 20/30 and simplify it. You should get 2/3 as a fraction.

- Now, take 2 and divide by 3. (2/3) You should get .66 repeating. This is equal to 66%.

- Therefore 66% is the answer.

- Hope this helps! If you need a further explanation please let me know.

4 0
2 years ago
Read 2 more answers
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