Name the properties that were used to derive the properties of logarithms.

1 answer:

defon3 years ago

6 0

The properties that were used to derive the properties of logarithms are:
1. a^x · a^y = a^(x+y) 2. a^x / a^y = a^(x - y) 3. a^0 = 1 4. a^(-x) = 1 / x 5. (a^x)^y = a^(xy)

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A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri

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Answer:

The correct option is (b).

Step-by-step explanation:

If X $\sim$ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z $\sim$ N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

μ = 60 minutes

σ = 12 minutes

Compute the z-score for the student being active 48 minutes as follows:

$Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0$

Thus, the z-score for the student being active 48 minutes is -1.0.

The correct option is (b).

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3 years ago

The box plots below show attendance at a local movie theater and high school basketball games:

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The standard deviation is a better measure of spread for movies than it is for basketball games.

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

As, Movies is more centric to mean and not skewed on a particular side whereas basketball games is not centric to mean but is skewed right then left.

Now, Standard deviation just measures the deviation or spread with respect to mean of collected data.

So, In the movies the data is more collected. Thus standard deviation is best suited for movie data.

Now, interquartile range. IQR relies on if the data is skewed.

So, in the basketball data the standard deviation will not give the information.

Hence, the standard deviation is a better measure of spread for movies than it is for basketball games.

Learn more about this concept here:

brainly.com/question/17157714

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2 years ago

Which of the following graphs represents a line that is parallel to the line y = - 1/3x - 2?

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