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DochEvi [55]
1 year ago
9

How many ways can you select a committee of 4 students out of 10 students?

Mathematics
1 answer:
Aleks04 [339]1 year ago
3 0

\binom{10}{4}=\frac{10!}{6!4!}=\frac{10(9)(8)(7)}{24}=10(3)(7)=\boxed{210}

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Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs
vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

             A ....... must have two pairs of adjacent sides congruent.

             A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

  • A trapezoid is a quadrilateral with exactly one pair of parallel sides.
  • A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
  • A rhombus is a parallelogram with four congruent sides.
  • A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

5 0
3 years ago
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15: M= 2
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7 0
2 years ago
Factor out the coefficient of the variable term The expression 1/10k-7/10 factored is
Goshia [24]

Answer:

The answer: 1/10x (k-7)

Step-by-step explanation:

6 0
3 years ago
Write a proportion that could be used to solve for each variable. Then solve.
mamaluj [8]
There are 6 balls to every box (a ratio of 6 to 1). Therefore, when there are 78 balls, there are 13 boxes.
5 0
3 years ago
Read 2 more answers
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
3 years ago
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