Answer:
there are 70 possible choices for the four locations to apply the new ointment
Step-by-step explanation:
Since we have a total of 8 locations ( 4 to the new ointment and 4 to the control) , each one can be chosen and since the order of the locations that are chosen for the new ointment is not relevant , then we know that the number of choices is given by the number of combinations of 4 elements in 8
number of combinations = 8 possible locations to the first ointment * 7 possible locations to the second ( since the first one was already located) * 6 to the third * 5 locations for the fourth / number of times the same combination is repeated ( the same locations but in different positions) = 8*7*6*5 / (4 possible positions for the first ointment* 3 possible positions to the second ointment (since the first one was already located * 2 possible positions of the third * 1 possible position of the fourth)
therefore
number of combinations = 8*7*6*5/(4*3*2*1 ) = 8!/((8-4)!*4!) = 70 possible combinations
thus there are 70 possible choices for the four locations to apply the new ointment
Johnny ate 8 pies in 5 minutes
He must have ate 1 pie in (5/8) minutes
(5/8) minutes = 5/8 * 60 = 75/2 = 37.5 seconds
On each pie he spent 37.5 seconds.
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
Answer:
(-2, -3)
Step-by-step explanation:
2x + 1 = 3x + 3
minus 3 from both sides
2x - 2 = 3x
minus 2x from both sides
-2 = x
then plug in -2 for x
y = 2(-2) + 1
y = -4 + 1
y = -3
(-2, -3).
