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Temka [501]
3 years ago
13

The sum of two rational numbers will always be

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

The sum of two rational numbers will always be <u>rational</u>

<u></u>

\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}, therefore it will always be rational

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Please help. Attached as an image
Triss [41]

Distance formula ds = v(dx² + dy²) s = ? v(1 + (dy/dx)²) dx ......... s = the arc length y = 171 - x²/45

chegg

someone solved it on this

https://youtu.be/UGjXlMVdZvc

4 0
2 years ago
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

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

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

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

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:  

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

5 0
3 years ago
Plz help me will give brainliest
rosijanka [135]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I’m having a lot of trouble, can someone guide me, step by step?
shutvik [7]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

6 0
3 years ago
A wall in Marcus's bedroom is 825825 feet high and 18131813 feet long. If he paints 1212 of the wall blue, how many square feet
Alchen [17]
If you would like to know how many square feet of the wall will be blue, you can calculate this using the following steps:

8 2/5 feet high * 16 2/3 feet long = 8 2/5 * 16 2/3 = 42/5 * 50/3 = 140 square feet

1/2 * 140 = 140/2 = 70 square feet

<span>The correct result would be 70 square feet.</span>
5 0
3 years ago
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