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professor190 [17]
3 years ago
11

samuel needs to estimate the product of 24 x 395. Explain two different methods Samuel can use to estimate.

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Samuel needs to estimate the product of 24 x 395.

First method

We round the number to nearest tens

24 can be rounded to 20 because we have 4 on ones place

395 can be rounded to 400 because we have 5 in ones place so we add 1  with 9 and it becomes 10 . so we add 1 with 3 and got 400

20 * 400 = 8000

Second method:

We round the number to nearest hundreds place

24 have no number in hundreds place so it remains 24

395 can be rounded to 400 because we have 9 in tens place.

24 * 400 = 9600


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Answer:

The probability that it will weigh more than 904 grams = 0.9452

Step-by-step explanation:

Given -

Mean (\nu ) = 920 grams

Standard deviation (\sigma  ) =10

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if we select one box of cereal at random from this population

The probability that it will weigh more than 904 grams =

P(X> 304) = P(\frac{X - \nu }{\sigma }> \frac{904 - 920}{10})

                   = P(Z> -1.6)    Putting ( Z = \frac{X - \nu }{\sigma } )

                   = 1- P(Z<  -1.6)  Using Z table

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The temperature of the furnace is 1200 and cool at a rate of 15 per minute the temperature of another furnace is 900 and is heat
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Answer:

After 15 minutes, the temperature of both the furnaces will be same.

Step-by-step explanation:

Let x be the minutes when the temperature of both becomes same.

Now, as per question:

Temperature of the furnace after x minutes that is cooling at the rate of 15 degree per minute is given as:

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Temperature of the furnace after x minutes that is heating at the rate of 5 degree per minute is given as:

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Now, equating both the temperatures, we get

1200-15x=900+5x\\1200-900=15x+5x\\300=20x\\x=\frac{300}{20}=15\ min

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hope this helped! :)

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