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3 years ago

How do you solve 2x=10

Mathematics

2 answers:

kotegsom [21]3 years ago

8 0

Hello!!

So when we have 2x = 10 we are looking for what x equals. This means you'll want to eliminate what you can to get your answer. What you do on one side must be done on the other. Let's give that a go, sha'll we?

2x = 10

We need to use the inverse operation to eliminate a factor. Since 2x is 2 times x we'll have to divide it.

2x/2 = 10

2 divided by 2 cancels each other out and leaves us with the following;

x = 10

So, x = 10

I hope I helped!!

Savatey [412]3 years ago

7 0

2x=10
Divide both sides by 2 so x=5 (Because 10 divided by 2 is 5 and 2x turns into just x)

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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

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

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:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

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

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 = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

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3 years ago

At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth. Sixteen seconds pass from the time

lisov135 [29]

Answer:

See attached for a graph

Step-by-step explanation:

We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.

The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...

(x, y) = (0, -8)

The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.

The second point you will put into your sine tool is ...

(x, y) = (8, -3)

7 0

3 years ago

Help this makes no sense to me and its due in 1 day

Ganezh [65]

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

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The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

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I hope this answer helped if you have any questions feel free to ask me in the comments.

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Svetlanka [38]

A. <span>2x + 5y= 10
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b. The slope is 2

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y= -2/5(0)+2
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(0,2) is the y-interecpt

d. Please veiw below

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