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OlgaM077 [116]
3 years ago
15

Write the following inequality in slope intercept form -12x - 2y is greater than or equal to -42

Mathematics
2 answers:
Radda [10]3 years ago
7 0

Answer:

y ≤ -6x + 21 is the inequality.

Step-by-step explanation:

A slope intercept form of a line is represented as y = mx + c

where m = slope of the line

and c = y intercept

The given inequality is -12x - 2y ≥ -42

Now we divide the inequality by 2

\frac{(-12x-2y)}{2}\geq  \frac{-42}{2}

-6x - y ≥ -21

Now we add y on both the sides of the inequality

-6x - y + y ≥ -21 + y

-6x ≥ y - 21

We add 21 on both the sides of the inequality

-6x + 21 ≥ y - 21 + 21

-6x + 21 ≥ y

Or y ≤ -6x + 21

tino4ka555 [31]3 years ago
5 0

First of all, we write the requested inequality:

-12x-2y\geq -42

The slope-intercept form of a line is y=mx+q, so we basically have to solve the inequality for y: we move the -12x term to the right:

-2y\geq 12x-42

And we divide both sides by -2. Note that, since -2 is negative, this division also inverts the inequality sign:

y \leq -6x+21

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From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

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z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

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Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

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