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vodka [1.7K]
3 years ago
15

a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octan

e gasoline needed for chemical research
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

we use the rectangle rule

96-92=4 parts of 92 octane

98-96=2 parts of 98 octane

4x+2x=12

6x=12

x=2

4x=8 liters of 92 octane

2x=4 liters of 98 octane

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Answer:

Step-by-step explanation:

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     2x = 80 + 10

      2x = 90

        x = 90/2

       x = 45°

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     3x = 180 - 120

      3x = 60

        x = 60/3

        x = 20°

16) 3x + 15 = 135     {corresponding angles are equal}

      3x = 165 - 15

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3 years ago
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3 years ago
If A and B are independent events and P(A) and P(B) are both greater than 1/2
elixir [45]

Answer:

P(A and B) is greater than 1 is never happened ⇒ C

Step-by-step explanation:

Two events are independent if the result of the second event is not  affected by the result of the first event

If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ The probability of any event is less than 1

∵ P(A) < 1

∵ P(A) > \frac{1}{2}

- That means P(A) is greater than half and less than 1

∴ \frac{1}{2} < P(A) < 1

∵ P(B) < 1

∵ P(B) > \frac{1}{2}

- That means P(B) is greater than half and less than 1

∴ \frac{1}{2} < P(B) < 1

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- Remember the product of any fractions less than 1 is less than 1

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∴ \frac{1}{4} < P(A and B) < 1

∴ P(A and B) is greater than 1 is never happened

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