Answer:
-1 this equation is in slope intercept for y=mx+b. the slope is variable m, which in this case is -1. the one is always invisible in front of variable
Answer: 423
Step-by-step explanation:
Ur outlier is 22....so we will remove it.
now we find the mean (average) of the data set...
(9+4+10+9+5+2+10+3+3+5) / 10 = 60/10 = 6...this is ur mean
now we subtract the mean from every data value...and find its absolute value
9 - 6 = 3....| 3| = 3
4 - 6 = -2...|-2| = 2
10 - 6 = 4..|4| = 4
9 - 6 = 3....|3| = 3
5 - 6 = -1..|-1| = 1
2 - 6 = -4...|-4| = 4
10 - 6 = 4..|4| = 4
3 - 6 = -3...|-3| = 3
3 - 6 = -3...|-3| = 3
5 - 6 = -1...|-1| = 1
now we find the mean (average) of these numbers...that is ur MAD
(3+2+4+3+1+4+4+3+3+1) / 10 = 28/10 = 2.8
ur answer : on average, the height of the plant varies 2.8 inches from the mean of 6 inches
Answer:
A). {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}
(B). {HHH, HHT, THH, THT}
Step-by-step explanation:
Given:
A coin is to be tossed three times and each tossed will be recorded as Head(H) and Tails(T).
To Find:
(a). Sample Space
(b). Event that the second toss is Heads
Explanation:
(A). Sample Space: When a coin is tossed 3 times
{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}
(B). Event that second toss is Head
{HHH, HHT, THH, THT}
Part A
F = 50 N is the force applied along the purple vector
r = 1.5 is the radius (half the diameter 3)
theta = 110 is the angle in which the force vector is applied
Use this formula to plug in the values to find the torque T
T = F*r*sin(theta)
T = 50*1.5*sin(110)
T = 70.4769
<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>
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Part B
Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.
<h3>Answer: 90 degrees</h3>
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Part C
Use the values from part A, but make theta = 90 so that the torque T is maxed out. So we would get the following
T = F*r*sin(theta)
T = 50*1.5*sin(90)
T = 50*1.5*1
T = 75
<h3>Answer: The max torque possible is 75 Newton-meters</h3>