Step-by-step explanation:
If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are <u>supplementary</u><u>.</u>
y + 68° = 180° { being opposite angles of cyclic quadrilateral }
y = 180° - 68°
y = 112°
x + 82° = 180° { being opposite angles of cyclic quadrilateral }
x = 180° - 82°
x = 98°
Hope it will help :)❤
The common ratio of 2, 10/3, 50/9 is 
<u>Solution:</u>
Given, series of elements are 
We have to find the common ratio of the above given series.
We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.
So, now take
and 2


Hence, the common ratio of the given series is 
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes
desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100
so theoretical probablity=20/100=2/10=0.2=20%
Answer:
The sample mean is
min.
The sample standard deviation is
min.
Step-by-step explanation:
We have the following data set:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
The formula for the mean of a sample is

where,
is the number of values in the data set.

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.
To find standard deviation we use the following formula

The mean of a sample is
.
Create the below table.
Find the sum of numbers in the last column to get.

