Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
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Answer:
The probability that a student who completed the homework failed the test is 0.211.
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.
The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:
Denote the events as follows:
P = a student passes the test
F = a student fails the test
X = a student completes the assignment
Y = a student does not completes the assignment
From the information provided the summary table is as follows:
P F Total
X <u>15</u> <u>4</u> 19
Y <u>2</u> <u>6</u> <u>8</u>
Total 17 <u>10</u> 27
Compute the probability that a student completed the assignment and failed the test as follows:
Compute the probability that a student completed the assignment as follows:
Compute the probability that a student failing the test given that the student completed the assignment as follows:
Thus, the probability that a student who completed the homework failed the test is 0.211.
To solve the question we must know about the conservation of momentum.
<h2>Conservation of Momentum</h2>
According to the law of conservation of momentum, when two bodies collide with each other then their momentum is conserved if no external force acts on the system. therefore, the combined momentum of the two objects before collision will be equal to the combined momentum of the two objects after the collision.
the momentum of the two objects before the collision
= momentum of the two objects after the collision
The mass of the box is 0.30141 kg.
<h2>Explanation</h2>Given to us
- Mass of racquetball, m = 0.0427 kg,
- Velocity of racquetball before Collision,
= 22.3 m/s,
- Velocity of box before Collision,
= 0 m/s,
- Velocity of racquetball after Collision,
= 11.5 m/s,
- Velocity of box after Collision,
= 1.53 m/s,
Let the mass of the box be M.
<h3>Conservation Of Momentum</h3>Momentum before collision = Momentum after collision
given, the box was stationary before the collision,
Substituting the values,
Hence, the mass of the box is 0.30141 kg.
Learn more about Conservation of Momentum: