1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serhud [2]
3 years ago
13

A sensor is used to monitor the performance of a nuclear reactor. The sensor accu-rately reflects the state of the reactor with

a probability of .97. But with a probabilityof .02, it gives a false alarm (by reporting excessive radiation even though the reac-tor is performing normally), and with a probability of .01, it misses excessive radia-tion (by failing to report excessive radiation even though the reactor is performing abnormally). (a) What is the probability that a sensor will give an incorrect report, that is, either a false alarm or a miss?
Physics
1 answer:
Helen [10]3 years ago
7 0

Answer:

The probability of an incorrect report is found to be 0.03 or 3%.

Explanation:

We will get an incorrect report in both the cases of false alarm or missing excessive radiation. Since, both are mutually exclusive events. Therefore, the probability of both events to occur simultaneously will be 0. Thus, the probability of an incorrect report will be the sum of the probability of false alarm and the probability of a missing radiation.

P (False Alarm) = 0.02

P (Missing Radiation) = 0.01

P(Incorrect Report) = P (False Alarm) + P(Missing Radiation)

P (Incorrect Report) = 0.02 +0.01

P(Incorrect Report) = 0.03 = 3%

You might be interested in
The belief that scientific psychology should be studying only observable behaviors is known as __________.
kifflom [539]

BEHAVIOURISM holds the belief that scientific psychology should be studying only obserrvable behaviors. The underlying principle of behaviourism is that behavior is influenced by our interaction with the environment and has little to do with factors internal to us. From which follows the assumption that when we are born, our mind is a blank slate

4 0
4 years ago
Read 2 more answers
Very large accelerations can injure the body, especially if they last for a considerable length of time. The severity index (SI)
Ludmilka [50]

Answer:

a) The severity index (SI) is 3047.749, b) The injured travels 0.345 meters during the collision.

Explanation:

a) The g-multiple of the acceleration, that is, a ratio of the person's acceleration to gravitational acceleration, is:

a' = \frac{35\,\frac{m}{s^{2}} }{9.807\,\frac{m}{s^{2}} }

a' = 3.569

The time taken for the injured to accelerate to final speed is given by this formula under the assumption of constant acceleration:

v_{f} = v_{o} + a \cdot t

Where:

v_{o} - Initial speed, measured in meters per second.

v_{f} - Final speed, measured in meter per second.

a - Acceleration, measured in \frac{m}{s^{2}}.

t - Time, measured in seconds.

t = \frac{v_{f}-v_{o}}{a}

t = \frac{\left(12\,\frac{km}{h} \right)\cdot \left(1000\,\frac{m}{km} \right)\cdot \left(\frac{1}{3600}\,\frac{h}{s}  \right)}{35\,\frac{m}{s^{2}} }

t = 0.095\,s

Lastly, the severity index is now determined:

SI = \frac{a'^{5}}{2\cdot t}

SI = \frac{3.569^{5}}{2\cdot (0.095\,s)}

SI = 3047.749

b) The initial and final speed of the injured are 1.944\,\frac{m}{s} and 5.278\,\frac{m}{s}, respectively. The travelled distance can be determined from this equation of motion:

v_{f}^{2} = v_{o}^{2} + 2\cdot a \cdot \Delta s

Where \Delta s is the travelled distance, measured in meters.

\Delta s = \frac{v_{f}^{2}-v_{o}^{2}}{2\cdot a}

\Delta s = \frac{\left(5.278\,\frac{m}{s} \right)^{2}-\left(1.944\,\frac{m}{s} \right)^{2}}{2\cdot \left(35\,\frac{m}{s^{2}} \right)}

\Delta s = 0.345\,m.

8 0
3 years ago
Air pressure is 1.0 · 105 N/m2, air density is 1.3 kg/m3, and the density of soft drinks is 1.0 · 103 kg/m3. If one blows carefu
natita [175]

Answer:

v = 27.456 m/s

Explanation:

The support pressure needed of the water in the straw can be calculated by the formula

Given that,

P = r*g*h

= 1000*9.8*0.05 Pa.= 490 Pa

This pressure is compensated by 0.5*r*v^2 of the air,

Hence,

0.5*1.3*v^2 = 490

velocity of air blown into the straw =

v = 27.456 m/s

8 0
3 years ago
A planet moves fastest in its orbit around the sun when it is at which position?
Nesterboy [21]

Answer:

When it's closest to the sun.

Explanation:

The force of gravity acting on a planet is equal to its mass times its centripetal acceleration.

Fg = m v^2 / r

The force of gravity is defined by Newton's law of universal gravitation as:

Fg = mMG / r^2

Therefore:

mMG / r^2 = m v^2 / r

MG / r = v^2

v increases as r decreases.  So the planet is moving fastest when it's closest to the sun, also known as the <em>perihelion</em>.

6 0
3 years ago
Read 2 more answers
What is the role of equations in this course?
Karolina [17]
That will depend on which course you're talking about. It will be a minor role in, say, Maritime Law or Comparitive Religion, but a major one in, say, Particle Physics or Linear Algebra.
4 0
3 years ago
Other questions:
  • Is the mechanical form of power different from the electrical form?
    5·1 answer
  • If two Force in opposite direction one is 120 N and the other is 5 N were applied on a box . The box equals 30kg. The magnitude
    8·1 answer
  • A car travels 60 miles in the first 2 hours and 68 miles in the next 2 hours
    5·1 answer
  • What type of energy slows down
    11·1 answer
  • What causes diffraction that results in a fuzzy glow around a full moon?
    15·2 answers
  • Which list is in order from smallest to biggest
    5·1 answer
  • When balancing a chemical equation, can a coefficient within a chemical equation be adjusted to
    5·2 answers
  • Eight 7.0W Christmas tree lights are strung in series to a 110 V light source. What is the resistance of each bulb?
    7·1 answer
  • Suppose we wish to use a 8.0 m iron bar to lift a heavy object by using it as a lever. If we place the pivot point at a distance
    13·1 answer
  • 3. What are the forces present on the rope?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!