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Neko [114]
2 years ago
8

A house has a large window made of 15 equal-sized pieces of glass, each the same size and shape. There are 3 pieces of glass tha

t are cracked. If a rock thrown by a lawn mower hits the window, what is the probability that the rock hits a piece of glass that is cracked?
Mathematics
1 answer:
melamori03 [73]2 years ago
6 0
<span>The chance or probability that the lawn mower will hit a piece of glass that is already cracked is calculated by dividing the number of glasses that are cracked by the total number of glasses. In this item, the unknown can be calculated by 3/15. The answer is therefore, 1/5 or 0.20. </span>
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If AD = 2/3 AB , what is the ratio of the length of arc BC to the length of arc DE
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You have :

--------------

DE arc = ( pi ) ( AD ) ( 2.36 radians / 2 pi radians ) = ( 2/3 ) ( AB ) ( 2.36 radians / 2 )

DE arc = ( 2/3 ( AB ) ( 1.18 radians )

BC arc = ( pi ) ( AB ) ( 1.18 radians / 2 pi radians )

BC arc = ( AB ) ( 0.59 radians )

BC arc / DE arc = ( AB ) ( 0.59 radians ) / ( 2/3 ) ( AB ) ( 1.18 radians )

BC arc / DE arc = ( AB ) ( 0.59 rad ) / ( 2/3 ) ( AB ) ( 1.18 rad )

BC arc / DE arc = ( 3/2 ) ( .59 rad / 1.18 rad ) = 3/4 <-------

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2 years ago
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Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected f
solong [7]

Answer:

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Step-by-step explanation:

Sales Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

<u>Sales Price       $75.00        $75.00           $ 82.50            $82.50 </u>

<u>Sales $              600,000     720,000            594000         825,000  </u>

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

<u />

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

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<u>Production      7997.6            9000             8900                10,350          </u>

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

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