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3 years ago

What is the rounding or compatible numbers to estimate the sum of 198+727

1 answer:

6 0

Using rounding I would change 198 to 200 and 727 to 730.
200 + 730 = 930. Some would change the 727 to 700 but I see no need to do that. My answer will be closer using 200+730.

You can also get the exact answer like this - when you raise 198 to 200, you raised it by 2 so to compensate, take 2 away from the other number and 727 becomes 725
I can do 200 + 725 = 925 in my head and that happens to be the exact answer.

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oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

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