Answer:
P(X > 10), n = 15, p = 0.7
P(X > 10) =P(10 < X ≤ 15) = P(11 ≤ X ≤ 15) = P(X = 11, 12, 13, 14, 15)
=P(X = 11) + P(X =12) + P(X = 13) + P(X =14) + P(X = 15) (because these are disjoint events)
Step-by-step explanation:
See attached image for detailed explanation
Answer:
The equation of this line would be y = 11x - 48
Step-by-step explanation:
To get this equation, we first have to find the slope. We do that with the slope eqaution.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 7)/(4 - 5)
m = -11/-1
m = 11
Now we can use this slope and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
y - 7 = 11x - 55
y = 11x - 48
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
Yes. I believe so. If u solve the equations you get x=1/2 and y=-1
To multiply fraction do top x top and bottom x bottom
so convert
into
then do
