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3 years ago

Y=x^3+125 Needs to be factored

Mathematics

1 answer:

Marianna [84]3 years ago

5 0

$a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\y=x^3+125=x^3+5^3=(x+5)(x^2-5x+5^2)\\\\=(x+5)(x^2-5x+25)$

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Y=sech(tan‐¹x) find the derivative

Klio2033 [76]

Recall that

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Then by the chain rule,

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8 0

3 years ago

The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard devia

torisob [31]

Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

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

$Z = \frac{2.45 - 2.5}{0.5}$

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

1 - 0.4602 = 0.5398.

0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

More can be learned about the normal distribution at brainly.com/question/4079902

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2 years ago

Every week, Mr. Kirkson uses 316 gallon of water to water every 13 square foot of his garden. How many gallons of water does Mr.

muminat

316 divided by 13= 24.3 gallons of water per square foot

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3 years ago

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Answer:

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Step-by-step explanation

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3 years ago

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klemol [59]

Answer:

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Step-by-step explanation:

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3 years ago

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