Answer:
a) a combination
b) The probability = 1 ÷ [ Number of ways to select the four dancers ]
Step-by-step explanation:
a) Here it is only required to calculate the number of ways to select the four dancers and the order of the dancers is not required i.e not important for us.
Hence, we will use a combination to select 4 out of 22 dancers
i.e ²²C₄
b) Since the dancers selected are 4 predetermined individuals
therefore,
number of ways to select selecting dancers Laura, Matthew, Lakiesha, and Santos will be '1'
Hence,
The probability = 1 ÷ [ Number of ways to select the four dancers ]
= 1 ÷ ²²C₄
1/4
if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish
Angle 1 and 2 are supplementary angles and need to equal 180 degrees
so angle 1 + angle 2 = 180:
6x+50 + 4x+40 = 180
combine like terms:
10x + 90 = 180
subtract 90 from each side:
10x = 90
divide both sides by 10
x = 9
Answer: B. I prefer the warranty that covers repair costs of a new car
