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emmainna [20.7K]
3 years ago
15

Find the circumference of a circle with an area of 289.Round to the nearest tenth.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:I hope this helps c=60.26

Step-by-step explanation:

The area is 289

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What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?
liubo4ka [24]

The quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x+6 is (x-2_.

Given the polynomial x^{3}+3x^{2} -4x-12 and x^{2} +5x+6 and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of x^{3}+3x^{2} -4x-12 divided by  , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

x^{3}+3x^{2} -4x-12=x^{2} +5x-6*(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x-6 is (x-2).

Learnmore about quotient at brainly.com/question/673545

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Question is incomplete as the given expressions are incomplete as they should be like this:

x^{3}+3x^{2} -4x-12 and x^{2} +5x-6.

4 0
2 years ago
If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

Assuming 20 is the hypotenuse cus there is no picture:

a^{2} + 16^{2} = 20^{2}

a^{2} +256 = 400

a^{2} = 144

a=144

If It's not the hypotenuse:

16^{2}+ 20^{2} =c^{2}

256+400 =c^{2}

656=c^{2}

c = 25.61249695

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

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3 years ago
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A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand
Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

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\mu_G = 15

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The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

\mu_E = 13.4

s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92

So the correct answer is given by option b.

8 0
3 years ago
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