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3 years ago

Which number is in the correct format for scientific notation?

Mathematics

1 answer:

olchik [2.2K]3 years ago

6 0

Answer:

The answer to your question is: letter A

Step-by-step explanation:

Rules for using scientific notation:

1.- The number before the decimal point must be between 1 and 10.

2.- Determine the exponent

3.- It must be in decimal format, ( x 10)

A 3.8*10^12 This number is in correct scientific notation.

B 33.8* 10 This number is incorrect, because before the decimal point the number must be between 1 and 10.

C 3.8 *20^8 This number is incorrect because the power must be 10 not 20.

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Colt1911 [192]

Use the Order of Operations.

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3 years ago

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The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an

AURORKA [14]

Answer:

171 newspapers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 150, \sigma = 25$

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

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$0.84 = \frac{X - 150}{25}$

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3 years ago

Which r-value represents the strongest correlation?<br> –0.83<br> –0.67<br> 0.48<br> 0.79

maks197457 [2]

Answer:

–0.83

Step-by-step explanation:

An r-value, or correlation coefficient, tells us the strength of the correlation in a linear regression. This number ranges from -1 to 1; -1 is a perfect linear fit for a decreasing set of data, while 1 is a perfect linear fit for an increasing set of data.

The closer the r-value is to either -1 or 1, the stronger the correlation is.

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stiks02 [169]

Answer:

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