Answer:
C
Step-by-step explanation:
This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.
Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:
10 C 6 = 10!(6!4!)
If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1
10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]
10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]
We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3
10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]
We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:
10 C 6 = 10*3*7*/1 = 210/1= 210
So, option C
Answer:
Answer:
A. 2 sinx cosx - 1 + 2 sin^2 x.
Step-by-step explanation:
sin2x = 2 sinx cosx
cos2x = cos^2x - sin^2x
So sin2x - cos2x = 2 sinx cosx - ( cos^2x - sin^2x)
But cos^2 x = 1 - sin^2 x, so we have:
2 sinx cosx - (1 - sin^2 x - sin^2x)
= 2 sinx cosx - 1 + 2 sin^2 x.
The answer is d (180-95) 85+60=145 180-145= 35
you do not give a value for PI so I am using 3.14
V=PI x r^2 x H
you know volume and radius so put those into the equation
525 = PI (3.14) x 5^2 x H
525 = 3.14 x 25 x H
525 = 78.5 x H
divide both sides by 78.5
6.687 = H
round off answer as needed 6.7cm or 6.69cm
NOTE : the answer may vary slightly depending on the value of PI used.
but this is how you calculate the height.
Answer:
You tell them
Step-by-step explanation:
Never stop being postive