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February 2021

dYv94eu-1 The constant of proportionality.

The constant of proportionality.

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ZT7bdKE-2 Two are defective.

Two are defective.

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ZT7bdKE-1 None is defective.

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:

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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?

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?

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:

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.

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).

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.

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

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