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Leno4ka [110]
3 years ago
11

A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines

will be utilized. The population of Belmont, MA, is 24,729 and covers an area of 4.66 mi2. The population of Easton, MA, is 23,112 and covers an area of 28.4 mi2. Which city’s residents are more likely to use public buses? Explain. The residents of Belmont are more likely to use public transportation because the city has the highest population density. The residents of Easton are more likely to use public transportation because the city has the highest population density. The residents of both cities will not use the bus line because the population density is too high. The residents of both cities are equally likely to use public transportation because the population densities are equal.
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

(A) The residents of Belmont are more likely to use public transportation because the city has the highest population density.

Step-by-step explanation:

correct on edge

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8 0
2 years ago
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi
olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

10 + 5x=y

Now, it is given that his goal is minimum of 50 countries.

So,

10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0
3 years ago
Use a proportion to solve the problem. Round to the nearest tenth as needed. A triangle drawn on a map has sides of lengths 9 cm
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3 years ago
A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
NikAS [45]

Answer:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

\bar X=0.376 represent the sample mean for the chloride concentration

\mu population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

df=n-1=15-1=14

The Confidence is 0.95 or 95%, the significance would be \alpha=0.05 and \alpha/2 =0.025, and the critical value for this case with a t distribution with 14 degrees of freedom is t_{\alpha/2}=2.145

And the confidence interval is:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0
3 years ago
Kelvin finished $\frac{2}{3}$ 2 3​​ of his test in a $\frac{1}{2}$ 1 2​​ hour. Express this rate in hours per test.
svet-max [94.6K]

Complete Question

Kelvin finished 2/3​​ of his test in a 1/2​​ hour. Express this rate in hours per test.

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3/4 hours per test

Step-by-step explanation:

2/3 of his test = 1/2 hour

This rate in hours per test is calculated as:

x = 1/2 /2/3

x = 1/2 hour ÷ 2/3 test

x = 1/2 × 3/2

x = 3/4 hours per test

This rate in hours per test is given as 3/4 hours per test

4 0
3 years ago
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