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tatuchka [14]
1 year ago
5

Problem c (7.0 x 10^-3)(6.0 x 10^6)

Mathematics
1 answer:
melisa1 [442]1 year ago
3 0

Give:

(7.0 x 10^-3)(6.0 x 10^6)

in solving this, since it is a bracket we multiply the whole number, and sice wer are multiply, we have to add the powers which is law of indices.

(7.0 x 10^-3)(6.0 x 10^6)

(7.0 x 6.0) x 10^(-3 + 6)

= 42.0 x 10^3

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liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

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It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.

For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.

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An example where we have 3 quantities.

On the farm there are 24 ducks, 36 geese and 48 hens.

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2 <span>: </span>3 : 4

So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.

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