A mountain has a 20 degree slope, and is 1 mile tall. How far do you need to hike to reach the summit?

Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes.

RoseWind [281]

Answer:

$\displaystyle m = \frac{1}{5}\cdot t$

Step-by-step explanation:

Proportional Model

The number of miles m that Lexus can skateboard in t minutes can be modeled by:

m = kt

It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.

Substituting:

4 = k.20

Dividing by 20

$k=\frac{4}{20}$

Simplifying:

$k=\frac{1}{5}$

This produces the model

$\displaystyle m = \frac{1}{5}\cdot t$

6 0

3 years ago

Read 2 more answers

The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

storchak [24]

$h-height\\h+2-width\\35 ft^2-Area\\\\Area=h(h+2)\\\\h(h+2)=35\\h^2+2h-35=0\\\\a=1;\ b=2;\ c=-35\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ h_1=\frac{-b-\sqrt\Delta}{2a}\ and\ h_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=\sqrt{144}=12\\\\h_1=\frac{-2-12}{2\cdot1}=\frac{-14}{2}=-7 < 0;\ h_2=\frac{-2+12}{2\cdot1}=\frac{10}{2}=5\\\\Answer:Height\ is\ 5\ ft.$

6 0

3 years ago

A smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial rms. An inspector will vis

damaskus [11]

Answer:

Part (A) The required PMF is: $P(X=x)=\frac{\binom{15}{x}\binom{50-15}{10-x}}{\binom{50}{10}}$

Part (B) $B(x;n,p)=\binom{10}{x}(0.3)^x(1-0.3)^{10-x}$

Step-by-step explanation:

Consider the provided information.

There are 50 industrial rms. An inspector will visit 10 randomly selected rms to check for violations of regulations.

Part (A)

15 of the rms are actually violating at least one regulation.

Let X is the number of firms violate at least one regulation from 10 randomly selected rms to check for violations of regulations out of 50 firms of which 15 5 of the rms are actually violating.

Therefore, $X\sim Hypergeom(n=10, M=15\ and\ N=50)$