The area of a circle is 100pi m2. What is the circumference, in meters? Express your

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

Answer: 20pi

Step-by-step explanation:

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.

Yanka [14]

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].

The probability density function :-

$f(x)=\dfrac{1}{58-48}=\dfrac{1}{10}$

Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

$\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025$

Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025

Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025

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3 years ago

Marco's mom has measured his height in centimeters every few months between the ages of 4.5 and 7.5. The recorded values are bes

Contact [7]

Answer:

Extrapolation

Step-by-step explanation:

Extrapolation is a type of estimation, beyond the original observation range. In this case, the observation range is from 4.5 to 7.5 years. Marco's mom is extrapolating the regression line to estimate Marco's height at 14 years old. This sort of estimation assumes that Marco's height will continue changing at the same rate until he is 14 years old.

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3 years ago

What is the effect of adding 3 to the left side of the equation y = 2 x + b ?

Tatiana [17]

Answer:

There is a vertical change of 3 units down.

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3 years ago

A bookcase has 4 shelves. The bottom shelf has 10 books. Each of the other shelves has 5 more books than the shelf below it. How

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It would have a total of 70 books.

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