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Naya [18.7K]
3 years ago
7

Please help. Sara drives 72 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she ca

n drive. Using this result, how many miles can Sara drive on 12.3 gallons of gas?
A. 27.675

B. 276.75

C. 1.83

D. 18.3
Mathematics
2 answers:
babunello [35]3 years ago
6 0
The answer to this math question is B
madreJ [45]3 years ago
3 0

Answer:

Option (B) 276.75

Step-by-step explanation:

Distance covered by Sara in 3.2 gallons of gas is 72 miles.

So, distance covered by Sara in 1 gallon of gas is \frac{72}{3.2} miles

Now, we need to find the total distance covered by Sara in 12.3 gallons of gas, to find we need to multiply 12.3 and the distance covered in 1 gallon.

So, distance covered in 12.3 gallons of gas

=\frac{72}{3.2}\times 12.3

=\frac{720}{32}\times \frac{123}{10}

=\frac{72\times 123}{32}

=276.75 gallons

Hence, option (B) is correct.

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Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th
KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0
3 years ago
What is the area of the triangle? ​
beks73 [17]
The area of a triangle is 180
4 0
3 years ago
on a SOL, a test that had 60 questions. how many questions could've you gotten wrong to have a passing grade?
iren [92.7K]
I think its 45 or 55
7 0
3 years ago
Read 2 more answers
Which does not show a direct variation between x and y?
Zepler [3.9K]
A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where y = x * (constant).

In answer a, y = x*.5, so it is a direct variation.
In answer c, y = x* \frac{1}{9}, so it is a direct variation.
In answer d, y = x*2, so it is a direct variation,

Only answer b is left, which means the answer must be 'b'. 

We also know 'b' is the answer because it cannot be expressed as <span>y = x * (constant). Instead, it is expressed as </span>y =  \frac{constant}{x}, which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)
8 0
3 years ago
Read 2 more answers
Can you solve this for me
jenyasd209 [6]

The number in the blank box should be 44 because it said that "3 times x and 4 times y is 44".

You need to multiply the first equation by 3:

3x + 3y = 39.

Then, subtract the first equation from the second equation:

3x - 3x = 0

4y - 3y = y

44 - 39 = 5

Your new equation should look like this: y = 5

Now, substitute y = 5 into the first original equation:

x + 5 = 13

x = 8

Ans. (x, y) = (8, 5)

4 0
3 years ago
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