Conditional probability problem: ( ) = ? P(A B)=?

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P(A B) = 0.2. P(B) = 0.5. Conditional probability formula = P(A|B) = P(A B) / P(B). P = 0.2 / 0.5. P = 0.4.

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Asked 32 days ago|3/11/2026 6:45:39 AM

Updated 30 days ago|3/12/2026 1:50:32 PM

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Bernette

P(A B) = 0.2.
P(B) = 0.5.
Conditional probability formula = P(A|B) = P(A B) / P(B).
P = 0.2 / 0.5.
P = 0.4.

Added 30 days ago|3/12/2026 1:50:17 PM

This answer has been confirmed as correct and helpful.

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Bernette

Conditional probability: P(A|B) given P(A B)=0.2 and P(B)=0.5.

Added 30 days ago|3/12/2026 1:50:32 PM

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A 12 kg object slides down a 35° incline with coefficient of friction 0.18. Find acceleration.

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Updated 33 days ago|3/10/2026 10:04:48 AM

1 Answer/Comment

cruz30

m = 12 kg
Angle = 35°
Coefficient of friction n = 0.18
g = 9.81 m/s^2
Acceleration a = g(sin(35°) - n cos(35°))
sin(35°) = 0.5736
cos(35°) = 0.8192
a = 9.81(0.5736 - 0.18 × 0.8192)
= 9.81(0.5736 - 0.1475)
= 9.81 × 0.4261
= 4.18 m/s^2
Answer: 4.18 m/s^2

Added 33 days ago|3/10/2026 10:04:48 AM

This answer has been confirmed as correct and helpful.

projectile launched at 45 m/s at 40°. Find maximum height.

Weegy: H_max = v_y? / (2 g), v_y = v sin v_y = 40 ? sin45? = 28.28 m/s H_max = 28.28? / (2 ? 9.8) = 40.8 m So, maximum height = 40.8 m (More)

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Updated 33 days ago|3/10/2026 10:06:30 AM

1 Answer/Comment

cruz30

Initial velocity u = 45 m/s
Angle = 40°
g = 9.81 m/s^2
Vertical velocity uy = u sin(40°)
sin(40°) = 0.6428
uy = 45 × 0.6428
= 28.93 m/s
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= 837.0 / 19.62
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Answer: 42.66 m

Added 33 days ago|3/10/2026 10:06:30 AM

This answer has been confirmed as correct and helpful.

A satellite orbits Earth at altitude 400 km. Earth radius = 6371 km, gravitational parameter = 3.986e14 m^3/s^2. Calculate orbital velocity.

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Updated 33 days ago|3/10/2026 10:05:10 AM

1 Answer/Comment

cruz30

Earth radius = 6371 km
Altitude = 400 km
Orbital radius r = 6371 + 400
= 6771 km
= 6.771 × 10^6 m
Gravitational parameter n = 3.986 × 10^14 m^3/s^2
Orbital velocity v = sqrt(n / r)
= sqrt((3.986 × 10^14) / (6.771 × 10^6))
= sqrt(5.887 × 10^7)
= 7673 m/s
Answer: 7673 m/s

Added 33 days ago|3/10/2026 10:05:10 AM

This answer has been confirmed as correct and helpful.

A transformer steps voltage from 240 V to 12 V with 95% efficiency delivering 60 W. Find input current.

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Updated 33 days ago|3/10/2026 10:04:05 AM

1 Answer/Comment

cruz30

Output power Pout = 60 W
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= 63.16 W
Input voltage Vin = 240 V
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= 0.263 A
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Added 33 days ago|3/10/2026 10:04:05 AM

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A 0.75 kg flywheel radius 0.35 m spins at 1200 rpm. Calculate rotational kinetic energy.

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Updated 33 days ago|3/10/2026 10:03:45 AM

1 Answer/Comment

cruz30

Mass m = 0.75 kg
Radius r = 0.35 m
Speed = 1200 rpm
Angular velocity w = 2n × rpm / 60
w = 2n × 1200 / 60
= 40n rad/s
Moment of inertia (solid flywheel) I = (1/2)mr^2
I = 0.5 × 0.75 × (0.35)^2
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Rotational KE = (1/2)Iw^2
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= 0.5 × 0.04594 × 1600n^2
n^2 = 9.8696
KE = 0.5 × 0.04594 × 1600 × 9.8696
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Answer: 362.7 J

Added 33 days ago|3/10/2026 10:03:45 AM

This answer has been confirmed as correct and helpful.

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