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german
2 years ago
14

4x find the degree with steps​

Mathematics
1 answer:
Alex787 [66]2 years ago
3 0

9514 1404 393

Answer:

  1

Step-by-step explanation:

The term has 1 variable, which has no exponent shown. When the exponent is not shown, it is understood to be 1. The degree of the term is the exponent of this single variable, so the degree is 1.

_____

<em>Additional comment</em>

If the term is a product of more than one variable, the degree is the sum of their exponents.

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When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
ahrayia [7]

Hi!

<h3>First, solve the equation. </h3>

<u>1480 ÷ 12 = 123 + with the remainder</u>

<u>If you write it with a remainder, it would be </u><u>123 R4</u>

If you write it as a decimal, it would be 123.33...

<h2>The answer is 123 R4</h2>

Hope this helps! :)

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3 years ago
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Circle O has a circumference of 36pi cm
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Circumference = 2 pi r , so

36 pi = 2 pi r

r = 36 pi / 2 pi

= 18 cm  answer

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3 years ago
Reberto must make his costume for the school play. He needs a piece of fabric that is 1 1/3 yards long and 1 1/2 yards wide. Wha
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What is the first step in evaluating this expression?
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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
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