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Tresset [83]
3 years ago
11

I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many w

eeks will it take for me to save at least $0. a) Write an inequality to represent the situation. b) Solve the inequality
Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer: 17x=153

It would take 9 weeks to reach a balance of 0.

Step-by-step explanation:

So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.

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So 8x+4+4x+8=15x-9

Combine like terms.

12x+12=15x-9

Add 9 to both sides.

12x+21=15x

Subtract 12 from both sides.

21=3x

Divide both sides by 3.

x=7

Now plug in 7 for x in 8x+4.

8(7)+4

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Answer:

The slope of the line is: 1

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Vlad1618 [11]

Answer:

Confidence =1-\alpha=1-0.01=0.99

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

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n= 100 sample size selected.

The confidence interval is given by this formula:

\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}   (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

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25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}

And we can find the critical value z_{\alpha/2} like this:

z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576

And we know that on the right tail of the z score =2.576 we have \alpha/2 of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=\alpha/2, so then \alpha=0.00498*2=0.009995 \approx 0.01, and then we can find the confidence like this:

Confidence =1-\alpha=1-0.01=0.99

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Answer:

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