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
Answer:
13.16
Step-by-step explanation:
formula= (absin∅)/2
= (4×9×sin47)/2
= 13.16
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
