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3 years ago

Question in attachment

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}$

Mean =241.75

$\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Standard deviation = $\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}$

Standard deviation =86.63

Range within 1 standard deviation : $(\mu-\sigma,\mu+\sigma)$

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

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2 years ago

1/7 divided by what equals 14

posledela

Assume the number we are looking for in n
we want to know the value of n that makes 1/7 divided by n is 14

Transforming this to an equation:
(1/7) / n = 14
this means that:
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Therefore:
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3 years ago

bob has 3 bookshelves that hold a total of 27 books. he adds a fourth shelf and now has 36 books. if he adds 2 more shelves ,how

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2 years ago

A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

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3 years ago

A cash register contains $10 bills and $100 bills with a total value of $2010. If there are 30 bills total, then how many of eac

finlep [7]

Answer:

there will be 19 $100 bills

and 11 $10 bills

Step-by-step explanation:

$100*19=1900\\10*11=110\\1900+110=2010$

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3 years ago

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