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1 year ago

Given that the line is x/3 + y/2 =1 i ) make y the subject ii ) gradient of line

Mathematics

1 answer:

miss Akunina [59]1 year ago

7 0

Answer:

see explanation

Step-by-step explanation:

(i)

$\frac{x}{3}$ + $\frac{y}{2}$ = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - $\frac{2}{3}$ x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - $\frac{2}{3}$ x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - $\frac{2}{3}$

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3 years ago

Is 2/6 equivalent to 20%

anastassius [24]

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

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I hope this was helpful, please mark as brainliest

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2 years ago

The table shows the time a patient spends at the dentist and the amount of the bill.

erica [24]

<u>Answer-</u>

Correlation coefficient for the data in the table was found to be 0.93.

<u>Solution-</u>

Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.

We know that,

$r=\frac{n(\sum xy)-\sum x \sum y}{\sqrt{[n\sum x^{2} -({\sum x})^{2}]\times [n\sum y^{2} -({\sum y})^{2}]}}$

Calculating the values from the table, then putting it in the formula

$r=\frac{4 \times 3130.9 \ - \ 6.45 \times 1473}{\sqrt{[4\times 12.3725 \ - \ 6.45^{2}][4 \times 877475 \ - \ 1473^2]}}$

$\Rightarrow r=0.929720561 \approx 0.93$

∴ Correlation coefficient for the data is 0.93.

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3 years ago

Read 2 more answers