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fiasKO [112]
3 years ago
14

A 3-ply core/sheath yarn consists of a 30/1 (core) yarn, and two 20/1 (sheath) yarns. Analysis of the plied yarn showed that 1 m

of the plied yarn has 1.08 m each of the two 20/1 yarns, and 1 m of the core yarn. What is cotton count of the plied yarn? Show calculations.
Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

0.000462

Step-by-step explanation:

From the given information:

The cotton count of the piled yarn is the ratio of the simple weight in (g) with the length by the simple length with weight.

Mathematically:

Cotton count = \dfrac{simple \ weight \ in (g) \times \ length }{simple \ length \times unit \ weight }

Cotton count = \dfrac{1 \times 0.001 }{0.108 \times 20}

\mathbf{ Cotton \  count = 0.000462}

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Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

2*2*2*2= 16

<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

is  0.65633

3 0
3 years ago
A rectangular lot is 70 yards wide and 115 yards long.
forsale [732]

Answer: 165 in length 20 in width

Step-by-step explanation: :)

5 0
2 years ago
What is the area of the shaded region?
Mekhanik [1.2K]

9514 1404 393

Answer:

  434 -49π ≈ 280.1 cm²

Step-by-step explanation:

The shaded area is the difference between the enclosing rectangle area and the circle area.

The rectangle is 14 cm high and 31 cm wide, so has an area of ...

  A = WH

  A = (31 cm)(14 cm) = 434 cm²

The circle area is given by ...

  A = πr²

  A = π(7 cm)² = 49π cm²

__

The shaded area is the difference of these, so is ...

  shaded area = rectangle - circle

  = (434 - 49π) cm² ≈ 280.1 cm²

4 0
2 years ago
( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify
pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

7 0
2 years ago
Annie plants 6 rows of small flowers bulbs in a garden she plants 132 bulbs in each row.how many bulbs does Annie plant?
andrew11 [14]
(792 bulbs) To answer this question one would multiply the number of rows times the number of bulbs 6 x132= ? to get the answer.
3 0
3 years ago
Read 2 more answers
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