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3 years ago

To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)

Mathematics

1 answer:

IRINA_888 [86]3 years ago

5 0

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as $x^{-2}$ , that can also be written as $\frac{x^{-2} }{1}$

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: $\frac{1}{x^{2} }$

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The numerical length of UW is 27

Step-by-step explanation:

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A package of dried fruit weighs 1/2 of a pound if one serving size is 1/8 of a pound how many servings would be in the package

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3 years ago

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AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

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".

$\bar X=240$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size

Part a

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=4-1=3$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that $t_{\alpha/2}=5.84$

Now we have everything in order to replace into formula (1):

$240-5.84\frac{15}{\sqrt{4}}=196.2$

$240+5.84\frac{15}{\sqrt{4}}=283.8$

So on this case the 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

What assumption about the data is necessary for the inference derived from the analysis to be valid?

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

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3 years ago

One of the volunteers whose Sam77 test result was

zhenek [66]

Using it's concept, it is found that there is a 0.041 = 4.1% probability the chosen volunteer does NOT possess Yq77.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the interest, it is found that:

There were a total of 590 + 25 = 615 positive tests.

Of those, 25 did not possess Yq77.

Hence:

p = 25/615 = 0.041.

There is a 0.041 = 4.1% probability the chosen volunteer does NOT possess Yq77.

More can be learned about the probability concept at brainly.com/question/15536019

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1 year ago