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February 2021

The constant of proportionality.

  • Read more about dYv94eu-1 The constant of proportionality.
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Two are defective.

  • Read more about ZT7bdKE-2 Two are defective.
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None is defective.

  • Read more about ZT7bdKE-1 None is defective.
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ZT7bdKE-0 Situation. A manufacturer estimates that 1.5% of his output of a small item is defective.

Situation

A manufacturer estimates that 1.5% of his output of a small item is defective. Find the probabilities that in a pack of 200 items:

  • Read more about ZT7bdKE-0 Situation. A manufacturer estimates that 1.5% of his output of a small item is defective.

How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?

  • Read more about How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?
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In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?

  • Read more about In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?
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The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. The area of the smallest circle is:

  • Read more about The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. The area of the smallest circle is:
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Express the following statement mathematically: 5 less than four times a certain number is 12.

  • Read more about Express the following statement mathematically: 5 less than four times a certain number is 12.
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Determine the value of a if (x + 2) is a factor of (x3 - ax2 + 7x + 10).

  • Read more about Determine the value of a if (x + 2) is a factor of (x3 - ax2 + 7x + 10).
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Find k so that the expression kx^2 - 3kx + 9 is a perfect square.

  • Read more about Find k so that the expression kx^2 - 3kx + 9 is a perfect square.
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