Answer:
The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.
Step-by-step explanation:
Total number of lottery tickets = 6
Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = ![\left[\begin{array}{ccc}6\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
= 15.
Now the population mean is given by 
× ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.
Summation of the lottery ticket numbers is 162
Thus the population mean is given by 
= 27.
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.
The length of the entire dash is 700 meters.
Answer:
B
Step-by-step explanation:
The pattern is to add 4 each time. So 17+4 is 21, 21+4 is 25, and 25+4 is 29
Step-by-step explanation:
theta = 180 - 123 = 57 degree
arc length = 2 * pi * R * ( theta / 360)
= 2 * pi * R * ( 57 / 360)
= 0.994R cm
Answer:
-11
Step-by-step explanation:
Triangle ABC
SO,
AB = AC +BC
x + 8 = 2x -5 + (BD + DC)
x + 8 = 2x-5 + 10 +14
x + 8 = 2x + 19
2x - x = -19 + 8
x = -11
