Which statements are true? Select the two correct answers.

Mathematics

1 answer:

denpristay [2]3 years ago

8 0

Answer:

5.the square root is positive number lessthan 1 is beteween 0 and 1

1.the square root of a positive number greater than 1 is less thsn number

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The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *

Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

5 0

3 years ago

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting: