Answer:
Step-by-step explanation:
<u>Multiply both sides of the equation by 6:</u>
<u>Subtract 12 from both sides:</u>
<u>Subtract 12 from 96:</u>
<u>_________________________________</u>
The box plot show the lengths of the songs on two digital music players in minutes .Which statement is best supported by the inf
1 answer:
Solution :
In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.
From the figure, we can see that for the music player Y, the interquartile range of the data is small.
And the interquartile range of data is more for the music player X.
So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.
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well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.
Answer:
For least material to be used lengths of square base and sides = 10 units.
Step-by-step explanation:
Let the lengths of the square base and the sides = x feet, x feet and y feet
Area of the square base = x² feet
Volume of the rectangular prism = Area of the square base × Height
= x²y cubic feet
1000 = x²y
y = -------(1)
Material used in the prism = Surface area of the rectangular prism
= 2(lb + bh + hl)
Here, h = height of the prism
l = length of the base
w = Width of the base
Material to be used (S) = 2(xy + x² + xy) - Area of lid
S = 2(x² + 2xy) - x²
S = x² + 2xy
Now by substituting the value of y from equation (1),
S = x² +
= x² +
For least amount of material used,
We will find the derivative of the given function and equate it to zero.
S' = 2x -
2x - = 0
2x³ = 2000
x³ = 1000
x = 10 feet
From equation (1),
y =
y = 10 feet
Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.