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3 years ago

The histogram shows the duration, in minutes, of movies in theaters.

Mathematics

2 answers:

neonofarm [45]3 years ago

8 0

The <em>correct answer</em> is:

The median is less than the mean.

Explanation:

This histogram is skewed right; the data "peaks" further to the left than the center.

If a histogram is skewed right, the mean is greater than the median.

This is because skewed-right data have a few large values that increase the mean but do not affect where the exact middle of the data is.

Olin [163]3 years ago

5 0

Answer:

Option B) The median is less than the mean.

Step-by-step explanation:

We are given the following in the question:

A histogram showing the duration, in minutes, of movies in theaters.

If we observe the shape of the histogram, more values of the histogram lies on the right side, the tail of the distribution is longer on the right hand side than on the left hand side
Hence, the histogram is skewed right.
The histogram is not normal and shows skewness.
It is a right skewed histogram or positively skewed.
Now, for a positively skewed data the mean is greater than the median since more values lies on right side and have a greater value thus the mean increases.
$\text{Mean} > \text{Median}$
The relationship shown by the histogram between mean and median is that median is less than the mean

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3 years ago

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3 years ago

Solve by elimination:

neonofarm [45]

Answer:

x=−8

y=6=

Step-by-step explanation:

3x+4y=0

5x−3y=−58

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

3x+4y=0,5x−3y=−58

To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.

5×3x+5×4y=0,3×5x+3(−3)y=3(−58)

Simplify.

15x+20y=0,15x−9y=−174

Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.

15x−15x+20y+9y=174

Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.

20y+9y=174

Add 20y to 9y.

29y=174

Divide both sides by 29.

y=6

Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.

5x−3×6=−58

Multiply −3 times 6.

5x−18=−58

Add 18 to both sides of the equation.

5x=−40

Divide both sides by 5.

x=−8

The system is now solved.

x=−8,y=6

Coordinates are: (-8,6)

Graph:

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