Five friends share 3 bags of trail mix equally. What fraction of a bag does EA friend get

Zina [86]

Hi there

You made per hour
342÷18
=$19
You made for 8 hours
$19×8
=$152

Hope it helps

5 0

2 years ago

Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th

KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

$IQR= Q_3 -Q_1$

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0

3 years ago

Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units, and

Studentka2010 [4]

Answer: 12.25

Step-by-step explanation:

Given the following details :

DAC = 90° and ABC = 90° = right angled

Segment AB is Parallel to segment DC

FROM THE DETAILS ;

Triangle ABC and ACD are similar triangles.

Length AC = 7 Units

Length AB = 4 Units

For similar triangles :

Segment CD /AC = Segment AC / AB

CD / 7 = 7 / 4

Cross multiply

CD × 4 = 7 × 7

CD × 4 = 49

CD = 49 / 4

CD = 12.25 Units

3 0

2 years ago

A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop

Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$