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Shtirlitz [24]
2 years ago
8

Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas

stations around their cities on the same day. Raquel’s data show and . Van’s data show and .
Which statement is true about their gas-price data?

Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
Van’s data are most likely closer to $3.42 than Raquel’s data are to $3.78.
Raquel’s data are most likely closer to $3.78 than Van’s data are to $3.42.
Van’s data are most likely closer to $3.78 than Raquel’s data are to $3.42.
Mathematics
2 answers:
adell [148]2 years ago
6 0

Answer: A.

Step-by-step explanation: On Edge!

mylen [45]2 years ago
3 0

Based on the information given, the true statement true about their gas-price data is A. Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

<h3>Solution to the gas-price data.</h3>

It should be noted that a standard deviation simply measures how dispersed the data will be in relation to the mean.

From the complete question, the mean of Raquel's data is given as 3.42 while the standard deviation is given as 0.07. On the other hand, the mean of Van's data is given as 3.78 while the standard deviation is given as 0.23.

Therefore, it can be deduced that Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

Learn more about standard deviation on:

brainly.com/question/19243813

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Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take
Leona [35]
<h2>Hello!</h2>

The answer is:

The correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

<h2>Why?</h2>

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

JeffRate=2JuliaRate

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

JeffRate+JuliaRate=\frac{1garden}{3hours}

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

JeffRate+JuliaRate=\frac{1garden}{3hours}

2JuliaRate+JuliaRate=\frac{1garden}{3hours}

2JuliaRate+JuliaRate=\frac{1garden}{3hours}

3JuliaRate=\frac{1garden}{3hours}

JuliaRate=\frac{1garden}{3hours*3}=\frac{1garden}{9hours}

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

JeffRate=2*JuliaRate\\\\JeffRate=2*\frac{1garden}{9hours}=\frac{2garden}{9hours}=\frac{1garden}{4.5hours}

We have that Jeff could weed the same garden by himself in 4.5 hours.

Hence, the correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

Have a nice day!

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