Answer:
<h2>y = 242.4 ft</h2>
Step-by-step explanation:
Look at the picture.
Use sine:

We have a measure of the angle and length of the hypotenuse:


Substitute:
<em>multiply both sides by 500</em>

Answer: 4 units
Step-by-step explanation:
The given position function:
, where t≥0.
To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.
At t=0,

At, t=4,

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units
= 4 units
Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.
The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.
Given a company has 200 machines. Each machine has a 12% probability of not working.
If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.
So
1) probability that 5 would not be working
C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵
≈ 0.18665
2) probability that at least one machine would be working
0.88⁴⁰ ≈ 0.00602
3) probability that all would be working
1 - 0.12⁴⁰ ≈ 1.0000
Learn more about probability here: brainly.com/question/24756209
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1 cup will be left. That is because each batch uses

cups.

11 Cups will be used.