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juin [17]
2 years ago
11

What is the following sum? 5(3squareroot x) +9 (3squareroot x)

Mathematics
1 answer:
Volgvan2 years ago
7 0

\sf{14(\sqrt[3]{x}) }

Step-by-step explanation:

5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})

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A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
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Using the normal distribution, it is found that the correct option is:

  • P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • Mean of 20 ounces, hence \mu = 20.
  • Standard deviation of 2.3 ounces, hence \sigma = 2.3

P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 20}{2.3}

Z = -1.74

Z = -1.74 has a p-value of 0.041.

This is valid for the entire population, hence, the correct interpretation is:

  • P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

A similar problem is given at brainly.com/question/24663213

4 0
2 years ago
a child lifts a 5.0-newton toy to a height of 0.50 meters. how much work is done on the toy? 0.0 j 2.5 j 4.5 j 10 j
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Since work = force * distance, the answer would 5*.5, which is 2.5 J
8 0
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49.99 = 0.6x, where x = original coat of jacket.
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The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho
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Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.

Step-by-step explanation:

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that

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Introducing a constant of proportionality, k, it becomes

P = kS

A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that

750 = k × 37

k = 750/37 = 20.27

The expression becomes

P = 20.27S

Therefore, the output for a wind speed of 40 miles per hour would be

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Answer:

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Step-by-step explanation:

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