Write in exponential notation

Standard deviation of a normal data distribution is a _______.

Keith_Richards [23]

Answer:

Measure of Data Dispersion

Step-by-step explanation:

Standard deviation is used to show the variation and dispersion in a group of data. It shows how separated the data's are to each other and how each data can be related to the other.

A normal data distribution are those group of data, that are distributed in a wide range. The standard deviation helps to to measure how they are been spread out.

Standard deviation does not measure the shape, quality, and center of data. This are measured with graphs, range, mean and median.

5 0

2 years ago

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Find the inverse of the function f(x)= 4x-2

Tju [1.3M]

Answer:

f⁻¹(x) = x/4 + 1/2

Step-by-step explanation:

To find the inverse of a function, switch the x and y variables, then isolate y.

f(x) replaced y, so you can replace it back.

y = 4x - 2

x = 4y - 2 Switched x and y

x + 2 = 4y Added 2 to both sides

y = x/4 + 2/4 Divided both sides by 4

y = x/4 + 1/2 Simplified

f⁻¹(x) = x/4 + 1/2 Use function notation

4 0

4 years ago

A. Student study times. A class survey in a large class for first-year college students asked, "About how many hours do you stud

insens350 [35]

Answer:

A. 12.68 - 14.72 hours

B. Normal distribution.

Step-by-step explanation:

Part A

This question is using quantitative data. A 99% confidence interval means that you want to know the range where 99% of the population will be. To find this you have to convert the 99% CI into the z-score which is -2.58SD to + 2.58SD.

Note that the standard deviation(SD) is from the sample, not the population. We still need to find the standard deviation of the population. The formula is:

population SD = $\frac{o}{\sqrt[]{n} }$

Where the o= sample SD = 7.4

n= number of sample = 463

The calculation will be:

population SD = $\frac{o}{\sqrt[]{n} }$

population SD = $\frac{7.4}{\sqrt[]{463} }$ = 0.3951

The bottom limit will be:

Mean - SD * z-score= 13.7 - 0.3951*2.58 = 12.68 hours

The upper limit will be:

Mean + SD * z-score= 13.7 + 0.3951*2.58 =14.72 hours

The 99% CI range will be 12.68 - 14.72 hours

Part B

The table used to convert confidence interval into z-score depends on the distribution type of the data. Most data is classified as normal distributed, a data type that will concentrated at mean and spread equally from the mean. Normal distribution data will look like a bell which make it also called bell curve.

The question tells you that the data is normal distribution, but that doesn't mean every data is normally distributed. There are a lot of other data distribution type so we have to do some tests to know the normality of the data in real-life data.

4 0

3 years ago

Add 34 and 6 and then multiply by 3

Sophie [7]

3(34+6)=90

add 34 and 6 together in the parenthesis and then multiply the sum by 3.

5 0

4 years ago

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2) Which variables represent the slope and y-intercept in slope-intercept<br> form?

oee [108]

Answer:

The variable that represent the slope is 'm' and the variable that represent the y-intercept is 'b'.

Step-by-step explanation:

The equation of a line in slope-intercept form is given as:

$y=mx+b$

Here, the variable 'm' is the coefficient of independent variable 'x' and represents the slope of the line.

The constant term in the given equation is 'b' and it represents the y-intercept of the given line.

Slope is defined as the ratio of rise or fall over run. In other words, slope is the ratio of change in value of 'y' with change in value of 'x'.

Slope is positive if change in 'y' is positive with increasing 'x' and it is negative if change in 'y' is negative with increasing 'x'.

y-intercept is the point where the line crosses the y-axis. So, the 'y' value of that point is y-intercept. The coordinates of the point is given as (0, b).

So, the variable used for the slope is 'm' and 'b' is used for y-intercept.

5 0

3 years ago