Janice went out to eat and bought a hamburger, a bag of chips,

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

siniylev [52]

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.

8 0

3 years ago

3. The sum of two numbers is 17. The difference between the larger number and the

Leno4ka [110]

Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24

x = 12 (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17

y = 5 (Subtract 12 from both sides)

So, the smaller number is 5.

4 0

2 years ago

I need help please my home work not to sure how to do it

Artyom0805 [142]

1. x+5y=8
2x- 5y=1 What you do is find the number/variable that are the same( here is is the +5y and -5y. You want them to be opposites(-,+) so that they cancel each other out. if they are not opposites, then multiply one equation by a negative sign to change it. Cross out the 5y's. Now you can combine like terms-x+2x=3x, and 8+1=9, so now your equation will look like this:
3x=9
x=9/3
x=3
now take x=3 and plug it into the first equation to solve for y. x+5y=8, so 3+5y=8
5y=8-3
5y=5
y=5/5
y=1
(3,1) are your answers.
now do the same with the other problems.

4 0

2 years ago

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What is the answer to this equation - 1/20 + 5/11?

Law Incorporation [45]

i think the answer is 89/220

7 0

2 years ago

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The endpoints of line segment CD are C (1, -9) and D (7, 5 ). Find the coordinates of the midpoint M.

Sidana [21]

Answer:

(4, -2)

Step-by-step explanation:

To find the midpoint of two points you have to take the average of those two points. So, I can do (1+8)/2, which is 4, to find the midpoint of the x coordinates. I can then do (-9+5)/2, which is -2 to find the midpoint of the y coordinates.

7 0

2 years ago

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