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
exis [7]
4 years ago
5

To reduce costly shutdowns caused by false alarms, management introduces a sec- ond completely independent sensor, and the react

or is shut down only when both sensors report excessive radiation. (According to this perspective, solitary reports o excessive radiation should be viewed as false alarms and ignored, since both sen- sors provide accurate information much of the time.) What is the new probability that the reactor will be shut down because of simultaneous false alarms by both the first and second sensors?
Mathematics
1 answer:
vovikov84 [41]4 years ago
3 0

Answer:

a) 0.03

b) 0.0004

c) 0.0001

Step-by-step explanation:

Probability that the sensor reports what is going on accurately = 0.97

Probability that the sensor gives a false alarm = 0.02

Probability that the sensor gives a miss = 0.01

(a) Probability that the sensor reports what is going on accurately = 0.97

Probability that the sensor will give incorrect report = 1 - 0.97 = 0.03

It could also be evaluated as the probability that the sensor gives either a false alarm or gives a miss = 0.02 + 0.01 = 0.03.

b) Probability of false alarms on one sensor = 0.02

Since the two sensors are independent of each other,

The probability that the reactor will be shut down because of simultaneous false alarms by both the first and second sensors

= 0.02 × 0.02 = 0.0004

c) Probability of a miss with one sensor = 0.01

Since the two sensors are independent of each other,

The the new probability that excessive radiation will be missed simultaneously by both the first and second sensors

= 0.01 × 0.01 = 0.0001

Hope this Helps!!!

You might be interested in
kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter
SVEN [57.7K]
To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket. 

25.5 - 5.2 = 20.3 Litres  

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units. 

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel. 

20300 <span>÷ 800 = 25.375 

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26. 

Hope this helps :) </span>
6 0
4 years ago
Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divi
Tresset [83]

Solution: We know that:

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divided by 2(3) + 1.

Looking at the solution's by Paul and Brett, we clearly see that the Paul made a mistake at step 3.

6 + 12 ÷ 2(3) + 1

6 + 12 ÷ 6 + 1                       Correct

18 ÷ 6 + 1                             Incorrect  It should have been 6 + 2 +1

According to order of operation's rule, division needs to done before addition.

Therefore, solution by Paul carries a mistake, while the solution by Brett is correct.

5 0
3 years ago
Describe how to create an equivalent equation from an equation that has fractions or decimals. explain how to decide what number
Ivan

Answer:

for the fractions or decimals part, round it up then make your equation, just multiply properly, what I do is, if I have a question like 23x17, I do 23x7, then 23x1, then add it,

Step-by-step explanation:

7 0
3 years ago
Helpppppp!!!!!!!!!All you need to do is explain the steps!!!!
galben [10]

Answer: Heyy Bestie <3

The Answer Steps are down below

Stay Sliving

7 0
3 years ago
Read 2 more answers
∣∣x+34∣∣=−11, How do you solve this
VMariaS [17]

Answer:

The answer is No Solutions

Step-by-step explanation:

Since this is absolute value, we know the answer has to be positive, because distance has to be positive. We see it is negative, and that cannot be, so the answer is no solutions.

3 0
3 years ago
Other questions:
  • You are choosing a book from your friend’s book collection. You can choose 1 of 6 science fiction books, 1 of 2 mystery books, o
    14·1 answer
  • What is a rigid transformation
    14·1 answer
  • How do you find BD show work
    13·2 answers
  • PLS HELP HELP HELP!!
    10·1 answer
  • 1. Write an inequality for the graph.
    8·1 answer
  • Help please anyone please help please
    9·1 answer
  • A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons. A crayon is chosen at random from the box. Find the pr
    15·1 answer
  • (6^4) (6^-2) <br>I still can't find the answer.​
    9·2 answers
  • Plz helpp will brainlist
    10·1 answer
  • Triangle ABC has vertices A(–3, 1), B(–2, 3) and C(–1, 1). Find its image after a rotation of 90° counterclockwise about (0, –1)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!