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WINSTONCH [101]
2 years ago
14

roberto has 12 tiles. each tile is 1 square inch. he will arrange them into a rectangle and glue 1-inch stones around the edge.

how can roberto arrange the tiles so that he uses the least number of stones?
Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
3 0
To answer this you will need to determine which area made with the 12 square tiles would give the shortest perimeter.

Think of all the combinations to get 12 square inches
1x12, 2x6, and 3x4. The perimeters of these are 26 in, 16 in, and 14 in.

You should arrange your tiles using the 3 x 4 option. You would need 14 stones.
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What is the probability that the system does not have a type 2defect?b.What is the probability that the system has both type 1 a
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Answer:

a.  0.93 b. 0.06 c. 0.05

Step-by-step explanation:

Probability is commonly known as the chance of success of a particular event. The probability of failure of the event can also be estimated.

(a) Probability of not having type 2 defect is: P(A_{2}^{'})  = 1 - P(A_{2}) = 1 - 0.07 = 0.93

(b) Probability of having type 1 and 2 defects is: P(A_{1} n A_{2}) = P(A_{1}) + P(A_{2}) - P(A_{1}U A_{2}) = 0.12 + 0.07 - 0.13 = 0.06

(c) probability pf having both type 1 and type 2 defects but not type 3 defect is:

P(A_{1} + A_{2} + A^{'} _{3}) = P(A_{1} n A_{2}) - P(A_{1} n A_{2} n A_{3}) = 0.06 - 0.01 = 0.05

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3 years ago
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Mashutka [201]
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PtichkaEL [24]
Look at the attachment

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zlopas [31]
Here's a solution for #8
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\stackrel{\textit{area of all 6 sides}}{6(9\cdot 9)\implies 486}

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