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ehidna [41]
3 years ago
13

Tabitha has 1/2 loaf of bread. If she slice the bread into 9 equal pieces, what fraction of the total loaf of bread will each pi

ece be?
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

1/18

Step-by-step explanation:

Total loaf of bread = 1/2

Number of equal slices cut from the loaf = 9

The fraction of total loaf each slice will be :

Total loaf / number of slices

1/2 ÷ 9

1/2 * 1/9

= 1/18

Hence, each slice is 1/18 of the total loaf

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Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
tatiyna

The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

  • A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
  • Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2\pi3(3 + 4)

                 = 6\pi×7

                 = 42\pi

Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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3(5-8x) = 15 -4(6x - 1
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\displaystyle \\&#10;3(5-8x) = 15 -4(6x - 1) \\  \\ &#10;15-24x = 15 - 24x + 4 \\  \\ &#10;15-24x - 15 + 24x = 4 \\  \\ &#10;0 = 4 \\  \\ &#10;\Longrightarrow  ~~~\texttt{The equation has no solution.}



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3 years ago
Please choose all the statements that are TRUE!
12345 [234]

Answer:

CDF=1277773737738836

3 0
3 years ago
A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to
nordsb [41]

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\

Now, we can calculate the coefficient of variation:

CV smokers:

CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387

CV non-smokers:

CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234

3 0
4 years ago
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