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Evgen [1.6K]
3 years ago
9

A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread i

n metres.
​

Mathematics
1 answer:
Radda [10]3 years ago
0 0

Answer:

Length of the thread = 30 metres

Step-by-step explanation:

Length of the thread in one round of a reel = Circumference of the reel

                                                                    C = 2\pi r

Since radius of the reel = \frac{\text{Diameter}}{2}

                                       = \frac{5}{2}

                                       = 2.5 cm

Circumference of the reel = 2(π)(2.5)

                                           = 5π

                                           = 5×3

                                           = 15 cm

Length of the thread wound in one round around the reel = 15 cm

Since, thread is wound 200 times round a reel, length of the thread

= 200 × 15                                                      

= 3000 cm

≈ 30 metres

Therefore, Option (B) will be the answer.

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A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ
Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.                                            

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

p(s) = 47.87 + 0.062s

Comparing it to linear equation, we have,

y= mx + c

where m is the slope and c is the y-intercept.

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

p(2500) = 47.87 + 0.062(2500) =202.87

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

p(1100) = 47.87 + 0.062(1100) =116.07

Original price = 116.07 thousand dollars

Asking price =

116.07 - 6 = 110.07

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0
3 years ago
Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15
11Alexandr11 [23.1K]

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

<em>Table 2</em>

x 5 10 11

y 3 9 9

<em>Table 3</em>

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

<em>Table 2</em>

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

<em>Table 3</em>

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

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Answer:

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