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3 years ago

How do u solve 2x +2= -2

2 answers:

7 0

Subtract 2 from both sides. Then isolate the x, so divide 2 by both sides.

2x+2=-2
-2=-2
________
2x=-4
--- ---
2 2

x=-2

dybincka [34]3 years ago

4 0

First you subtract two from both sides.
2x+2=-2
2x -2=-4
2x=-4 (because the two in the middle cancels out because you subtracted it. subtracting from the other side keeps it a negative since it's already in negative territory.)
Then you divide by 2 with the numbers remaining.
2x=-4
divided by 2 =
x=-2.

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3 years ago

Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver

katrin [286]

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(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) Margin of error formula is given by;

Margin of Error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

where, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error = $\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Also, $\hat p$ = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, Margin of Error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

= $1.96 \times \sqrt{\frac{0.66(1-0.66)}{1,018} }$ = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

P.Q. = $\frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}$ ~ N(0,1)

So, 95% confidence interval for p = $\hat p \pm \text{Margin of error}$

= $0.66 \pm 0.03$

= [0.66 - 0.03 , 0.66 + 0.03]

= [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

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4 years ago

Charlotte is running at a rate of 9\,\dfrac{\text{km}}{\text{h}}9 h km 9, start fraction, start text, k, m, end text, divided

OverLord2011 [107]

Answer:

2.5 meters per second

Step-by-step explanation:

Given,

The speed of Charlotte = 9 km/h

That is, the distance covered in 1 hour = 9 km,

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So, the distance covered in 1 hour = 9000 m,

∵ 1 hour = 60 minutes and 1 minute = 60 seconds,

⇒ 1 hours = 3600 seconds,

∴ The distance covered in 3600 seconds = 9000 m,

⇒ Distance covered in 1 second = $\frac{9000}{3600}$ = 2.5 m,

Hence, his/her speed = 2.5 meters per second

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4 years ago