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
Free_Kalibri [48]
3 years ago
9

In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

t 95% of those who went to class on Fridays pass the course, while only 10% of those who did not go to class on Fridays passed the course. If a student passes the course, what is the probability that they did not attend on Fridays?
Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95,  P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

You might be interested in
Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. Whic
Salsk061 [2.6K]

Answer:

Not possible scores: 6, 15, 23, 31 and 58.

Step-by-step explanation:

We have been given that Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. We are asked to choose the total scores that can be quickly identified as "not possible".

Given scores: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15.

Since the maximum score is 10 and number of hits are 5, therefore, the maximum score can be hitting 10 each of the 5 times.

10\times 5=50

Since the maximum score is 50, therefore, 58 is an impossible score.

Since the minimum score is 2 and number of hits are 5, therefore, the minimum score can be hitting 2 each of the 5 times.

2\times 5=10

Since the minimum score is 10, therefore, 6 is an impossible score.

Since all scores on board are even, so the sum of 5 hits must be even, therefore, odd numbers like 15, 23, 31 are not possible scores.  

5 0
3 years ago
Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
almond37 [142]

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

4 0
3 years ago
James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (–4,6). Find the distance between their s
pshichka [43]

Answer:

4√2 units (Answer C).

Step-by-step explanation:

Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units.  We need to use the distance formula to determine how far apart these seats are.

d = √(change in x)^2 + (change in y)^2 ).

That works out to:

d = √(4^2 + 4^2) = √(32) = 4√2 units (Answer C).

8 0
3 years ago
Read 2 more answers
I have 3 Sisters each<br>Sister has 3 sisters. How<br>many of us are there?​
fgiga [73]

Answer:

4 sisters

Step-by-step explanation:

-This is a logic question.

-Given that she has 3 sisters, it only means that the 4 are siblings of the same family.

-As such, eaxh sister can correctly claim to have 3 sisters.

Hence, there is a total of 4 sisters.

7 0
3 years ago
A. Is the statement​ "Every elementary row operation is​ reversible" true or​ false? Explain.
Tatiana [17]

Answer:

This statement is "TRUE".

Step-by-step explanation:

Every elementary row operation is reversible. You can get the reverse answer  by multiplying by a constant or by multiplying by its inverse. You can  add one row to another row and subtract row 1 from row 2 to get it back.

3 0
3 years ago
Other questions:
  • Whats the value of 4 in 46,395 and the value of 4 in 14,906
    8·1 answer
  • Determining Sine and Cosine Values
    9·1 answer
  • What is the slope and y-intercept of a vertical line
    5·1 answer
  • Someone please help me with this and explain it please.
    13·1 answer
  • Use cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + 7 = 8 6x + 3y = 24 que
    11·2 answers
  • Select the graph that represents two quantities in a proportional relationship.
    12·1 answer
  • adult tickets to a movie cost $12 while children tickets cost $5. if a total of 500 tickets were sold and if $3550 was collected
    10·1 answer
  • How many cubes unit fit the container​
    8·1 answer
  • Come on plz tell me someone is awake
    13·2 answers
  • The diagram shows the cross-section of a wall of a cinema.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!