Answer:
The circumference of Mario's circle is 75 cm
Step-by-step explanation:
The correct question is
Joe drew a circle whose circumference is 25 cm. Mario drew a circle whose diameter is 3 times the diameter or Joe’s circle. What is the circumference of Mario’s circle?
we know that
All circles are similar
The ratio of the circumferences of two circles, is equal to the scale factor
Let
z ----> the scale factor
x ----> circumference of Mario's circle
y-----> circumference of Joe's circle
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=3\\y=25\ cm[/tex]
substitute the given values
[tex]3=\frac{x}{25}[/tex]
solve for x
[tex]x=3(25)=75\ cm[/tex]
therefore
The circumference of Mario's circle is 75 cm
Answer:
It Is 72 Centimeters
Step-by-step explanation:
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
The central tendency is known as the statistical measure. This statistical measure represents the single value of the data set or entire distribution. The objective of evaluating a central tendency is to provide an accurate description of the entire data in the distribution.
The measure or outcome of the central tendency is a single value. It attempts to explain a set of data by identifying the central position within that set of data. The numerical expressions which represent the characteristics of a group (a large collection of numerical data) are called measures of central tendency. They are also described as measures of central location.
The measures of central tendency are mean, median, and mode. However, in different conditions, some measures of central tendency become more appropriate to use than others.
Mean (Arithmetic)
The most widely known and well-accepted measure of tendency is the mean or average. It is mostly used with continuous data. The mean represents the average value of a dataset. It can be calculated as the quotient of the sum of all the values in the data set by the number of values in the data set. The mean is usually denoted as x⎯⎯ (pronounced “x-bar”).
Example:
If there are n observations in a data set and they have values x1,x2,...,xn, then the mean is equal to:
x⎯⎯=x1+x2+...+xnn
The formula is also written as:
x⎯⎯=∑i=1nxin
Where ∑ is Greek capital letter, which means “sum of…” and is pronounced as “sigma”.
A very significant characteristic of the mean is that it involves every value in the set of data as part of the calculation. Additionally, the mean is the lone measure of central tendency where the sum of the deviations of each value calculated from the mean is always zero.
I hope this helped good luck on yours exams!! =)
