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rusak2 [61]
3 years ago
7

Find the arc length of the partial circle.

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•

Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
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WILL GIVE BRAINLIEST AND 100 POINTS
ICE Princess25 [194]

Answer:

a) The interval for those who want to go out earlier is between 43.008 and 46.592

b) The interval for those who want to go out later is between 47.9232 and 51.9168

Step-by-step explanation:

Given that:

Sample size (n) =128,

Margin of error (e) = ±4% =

a) The probability of those who wanted to get out earlier (p) = 35% = 0.35

The mean of the distribution (μ) = np = 128 * 0.35 = 44.8

The margin of error = ± 4% of 448 = 0.04 × 44.8 =  ± 1.792

The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)

b) The probability of those who wanted to start school get out later (p) = 39% = 0.39

The mean of the distribution (μ) = np = 128 * 0.39 = 49.92

The margin of error = ± 4% of 448 = 0.04 × 49.92 =  ± 1.9968

The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)

The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier

4 0
3 years ago
A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4
bulgar [2K]

Answer:

\frac{dx}{dt}=4c-\frac{4}{15}x

Step-by-step explanation:

Data provided in the question:

Initial volume of water = 15 liters

Concentration of salt = 4 liters per minute

x be the amount of salt, in grams, in the fish tank after t minutes have elapsed

The unknown concentration of incoming brine c.

Now,

Salt concentration per minute = \frac{4}{15}

For x amount of salt =  \frac{4}{15}x

Therefore,

\frac{dx}{dt}=4c-\frac{4}{15}x

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4 years ago
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valentina_108 [34]
Hey There Remone,

<span>Order the fraction from least to greatest 1/4,1/6,1/5

</span>\frac{1}{6} than \frac{1}{5} last \frac{1}{4}<span>
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I think step one is mistake than we automatically mistake ..

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deprina buys a large cup of coffe for $4.70 on her way to work everyday. if there are 24 workdays in the month, how much does de
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