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12345 [234]
3 years ago
11

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

\frac{x}{y}=\frac{2}{7}

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

(\frac{2}{2})\frac{2}{7}=\frac{4}{14}

therefore

x=\£4\\y=\£14

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

(\frac{6}{6})\frac{2}{7}=\frac{12}{42}

therefore

x=\£12\\y=\£42

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

(\frac{8}{8})\frac{2}{7}=\frac{16}{56}

therefore

x=\£16\\y=\£56

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

(\frac{9}{9})\frac{2}{7}=\frac{18}{63}

therefore

x=\£18\\y=\£63

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Answer:

k = 18

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

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The constant of variation is k = 18

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The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

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2 years ago
Consider a population list x, with a CV= 10%. A second population list, y, has a CV= 20%. The linear regression of y on x is y =
ch4aika [34]

Answer:

The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.

Step-by-step explanation:

The linear regression equation is

y= a+bx

The given linear equation is

y= 10x

Here, slope=b=10 and intercept=a=0.

From above equation,

ybar=10xbar

We are given that CVx=0.1 and CVy=0.2

where CV=(standard deviation/mean)*100

We know that

b=r(Sy/Sx)

Multiplying by xbar/ybar on both sides

(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)

(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]

(xbar/ybar)b=r[CVy/CVx]

As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).

By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.

(xbar/10xbar)10=r(0.2/0.1)

1=r(0.2/0.1)

1=r(2)

r=0.5

There is moderate positive correlation between y and x.

6 0
2 years ago
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