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3 years ago

Rachel runs 6 miles in 45 minutes. At the same rate how many minutes would she take to run 4 miles?

Mathematics

2 answers:

exis [7]3 years ago

7 0

Rachel would take 30 minutes to run in 4miles

velikii [3]3 years ago

5 0

If Rachel runs 6 miles in 45 minutes, she runs at a rate of 2/15 miles per minute. That means it would take her 30 minutes to run 4 miles.

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Suppose that contamination particle size (in micrometers) canbe modeled as

asambeis [7]

Answer:

c) 2

d) 0.96

Step-by-step explanation:

We are given the following in the question:

$f(x) = 2x^{-3}, x > 1\\~~~~~~~= 0, x \leq 1$

a) probability density function.

$\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1$

Thus, it is a probability density function.

b) cumulative distribution function.

$P(X$

c) mean of the distribution

$\mu = \displaystyle\int^{\infty}_{-\infty}xf(x) dx\\\\\mu = \int^{\infty}_12x^{-2}dx\\\\\mu = (-\frac{2}{x})^{\infty}_{1}\\\\\mu = 2$

d) probability that the size of random particle will be less than 5 micrometers

$P(X$

4 0

2 years ago

What is the simplest form of this expression?

Dimas [21]

Answer:

(4-m-1)-5

Remove the bracket

= 4-m-1-5

= -2-m

Hope this helps.

7 0

3 years ago

3) find the value. Find f(-x) when f(x)=(x)(x^2+9)

gayaneshka [121]

Answer:

Evaluate the function.

− x^ 3 − 9 x

Step-by-step explanation:

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3 years ago

The radius of a circle is 3 yards. What is the circle's area?<br> r=3 yd<br> )) Use 3.14 for a.

kaheart [24]

I believe it would be about 28.26
I hope it helped!

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3 years ago

The graph of g(x) = (x + 2)2 is a translation of the

sladkih [1.3K]

Can we get a picture or something?

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2 years ago

Read 2 more answers