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4 years ago

Today only a sofa is being sold at a 29% discount. The sale price is $639. What was the price yesterday?

1 answer:

7 0

What we need to do is find out what 29% of 639 is and add it to 639 to find the total. The easiest way to find a percentage of a number, if you don't know how to calculate it, is by taking 10%. So 10% of 639 is 63.9. Now since there is 29%, we need to multiply 63.9 x 2, to get 127.8. However, we only have 20% out of the 29%. So we need to find the other 9%. If 10% is 63.9, then 1% is 6.39. So we need to multiply 6.39 x 9, and that equals 57.51. Now, we need to add 127.80 and 57.51 together. That will give us 185.31. Add that to the 639, and you have your answer. Hope this helped!

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Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in slo

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Answer: $y=-\dfrac67x-\dfrac{34}{7}$

Step-by-step explanation:

Slope-intercept form: y=mx+c (i) , of linear equations, m= slope and c= y-intercept of the line.

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Comparing to (i) , $m = \dfrac{-6}{7}$

Slope of parallel lines are equal.

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Equation of line with slope m and passes through point : $(y-b)=m(x-a)$

So, equation of required line:

$(y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}$

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dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

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