3 years ago

ASAP! Write two different phrases that can both mean 5t - 4 = 1.

1 answer:

4 0

The difference between five times the number and four is one

Subtracting four from five times a number will result you to one

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.

Artist 52 [7]

Answer: 0.0250

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.

We know that the uniform distribution is also known as rectangular distribution.

Density function for uniform distribution : $f(x)=\dfrac{1}{b-a}$

$=\dfrac{1}{60-50}=\dfrac{1}{10}$

Now, the probability that a given class period runs between 51.25 and 51.5 minutes :-

$\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250$

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes = 0.0250

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3 years ago