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3 years ago

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour?

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

Step-by-step explanation:

To answer this, look at the form of the answer. they want miles per hour. So, just do that calculation

She traveled 14 miles in 6 hours.

14 miles/6 hours

14/6 = 7/3 = 2.3333 miles/hour

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2 years ago

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A system has one each of two different types of components in joint operation. Let X and Y denote the random lengths of the live

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Answer:

The value of E(Y/X) is 2.

Step-by-step explanation:

As the complete question is not given, thus the complete question is found online and is attached herewith.

So the joint density function is given as

$f(x,y)=\left \{ {{\dfrac{x}{8}e^{-\dfrac{x+y}{2}} \,\,\,\,0 \leq x,0\leq y \atop {0}} \right.$

So the marginal function for X is given as

$f_x=\int\limits^{\infty}_0 {f(x,y)} \, dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x+y}{2} }dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x}{2}}e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{8}e^{-\frac{x}{2}}\int\limits^{\infty}_0e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{4}e^{-\frac{x}{2}}$

Now

$f(Y/X)=\dfrac{f(X,Y)}{f(X)}\\f(Y/X)=\dfrac{\dfrac{x}{8}e^{-\frac{x+y}{2} }}{\dfrac{x}{4}e^{-\frac{x}{2}}}\\f(Y/X)=\dfrac{1}{2}e^{-\frac{y}{2} }$

Now the value of E(Y/X) is given as

$E(Y/X)=\int\limits^{\infty}_0 {yf_{Y/X}} \, dy \\E(Y/X)=\int\limits^{\infty}_0 {y\dfrac{1}{2}e^{-\frac{y}{2} } }\, dy\\E(Y/X)=\dfrac{1}{2}\dfrac{\sqrt{2}}{(\dfrac{1}{2})^2}=2$

So the value of E(Y/X) is 2.

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3 years ago

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Answer:

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Step-by-step explanation:

Slope = y/x = 100/10 = 10

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2 years ago

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2 years ago

A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an

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Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

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Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

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