In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?
I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer
Answers
Answer:
10%
Step-by-step explanation:
If 40% failed chemistry then 60% passed chemistry.
If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.
If we let p' represent failing physics and c represent passing chemistry, then ...
P(p'|c) = P(p'c)/P(c)
P(p'|c) = 6%/60% = 0.10 = 10%
If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.
__
Your answer is correct.
To solve this problem, we can use conditional probability.
Let's assume that there were 100 students in the final exam.
According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.
We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]
We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).
Therefore,
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]
So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.
Related Questions
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
Answers
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
To know more about an expression follow
https://brainly.com/question/14161914
#SPJ2
What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.
Answers
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3
The slope of the line is 2/3.
_____
The attached graph shows the equation of the line in point-slope form.
help pls :))))))))))))
Answers
Answer:
yes, the triangle are congruent by SAS
the sum of x and 4y is 9
Answers
Answer:
y= -1/4x +9/4
Step-by-step explanation:
I don't know which form you wanted, so heres the slope form
determine the slope and y intercept and write the equation in slope intercept form
Answers
Answer: slope is 2 and the y-intercept is 1 intercept form is y=2x+1
Step-by-step explanation:
30 liters in 2 minutes = liters per minute
Answers
Answer:
0.06 would be the answer.
Step-by-step explanation:
Answer:
15 liters per minute
Step-by-step explanation:
30/2=15
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answers
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
help me please guys! for the most brain lol
Answers
Answer:
-3<-1
-3[tex]\leq[/tex]-1
Step-by-step explanation:
[tex]\leq[/tex] Means less than or equal to
< Means less than
is this linear or not and why
Answers
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
which expression represents the product of 3 and 1 1/4 n 1.8
Answers
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
3•1 1/4•1.8= 6 3/4
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
Let’s start of with 3•1 1/4~
3 times 1 and 1/4 is 3 3/4
Now let’s multiply 3 3/4 • 1.8
1.8 is also 1 8/10, simplified: 1 4/5.
3 3/4 • 1 4/5 = 6 3/4
THERE IS YOUR ANSWER! >o<
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
help me will mark as brainlist
Answers
Answer:
11/9 OR 1 and 2/9
Step-by-step explanation:
5/9 + 4/6
get like deonimators by mutiplying top and bottom by same thing --- afterall mutiplying by 2/2, 3/3, 4/4.. etc is mutiplying by 1... not changing anything!
So:
(2/2)*(5/9) + (3/3)(4/6) = 10/18 + 12/18 = 22/18
Which can be simplified :)
11/9 ORRR 1 and 2/9
Step-by-step explanation:
rules? I like get brainlist pleaseee :00 it's totally A
Jasmine wants to make more cleaning solution
Answers
Answer:
here
Step-by-step explanation:
Method 1 Method 1 of 3: Making Liquid Cleaners
Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.
Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.
Add dish soap for persistent stains on carpet. ...
Tackle tough stains and grime with undiluted vinegar. ...
Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)
Answers
Answer:
x – 4y = 20
Step-by-step explanation:
Put the line above in Slope Intercept Form
You can do that by solving for y
y = (1/4)x - 5
The slope, m above is 1/4
The perpendicular will a negative inverse slope m = -4
In Slope Intercept Form your perpendicular line starts below
y = -4x + b
Use the coordinates of the given point on the line (2, -5) to insert and solve for b
-5 = -4(2) + b
-5 = - 8 + b
Add 8 to both sides of the equation
-5 + 8 = b
3 = b
Finally your perpendicular line
y = -4x + 3
I hope this helps
Check my arithmetic
Answer:
×4y=20
Step-by-step explanation:
mark me as brainlist please
f x and r are inversely proportional and x = 9 when r = 72, then what is x when r = 40?
Answers
Answer:
16.2
Step-by-step explanation:
r = k/x
when x = 9 and r = 72 ,72 = k/9
k = 72*9
When r = 40 ,
x = k/r
x = 72*9/40 = 16.2
geomtry plz help 10 points
Answers
Answer:
22.3<x<27.6
Step-by-step explanation:
X=greater than a number but less than another
22.3<27.6
Knowing that we can place 27.6 to the right of x and 22.3 to the left.
Hope this helps :)
Answer:
[tex]4.3<x<50.9[/tex]
Step-by-step explanation:
To find our Inequality sentence we have to add the largest number with the smaller much
[tex]27.6+23.3=50.9[/tex]
To find the second part of our inequality sentence we have to subtract the larger number from the smaller number
[tex]27.6-23.3=4.3[/tex]
Our inequality sentence is [tex]4.3<x<50.9[/tex]
Brainliest please
evaluate 6^2 - (9 divided by x) when x = 3
Answers
Answer:
33
Step-by-step explanation:
The graph of the linear function is shown on the coordinate grid. What is the equation of this line?
Answers
Hope this helps!! :)
Which value of x is a solution of the inequality?
3x−3≥9
Answers
Answer:
It's probably X since X doesn't have a written number for it it equals 1.
Step-by-step explanation:
what is the change from 3 to -8?
Answers
Answer:
-11
Step-by-step explanation:
3 - 11 = -8
25Y^2/5y-4 + 16/4-5y
Answers
Answer:
5Y2y-5y
Step-by-step explanation:
5
Y
2
y
−
5
y
Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m
Hope that helps
Answers
Answer:
ok thank u ig
Step-by-step explanation:
Let C1 and C2 be two smooth parameterized curves that start at P0 and end at Q0 ≠ P0, but do not otherwise intersect. If the line integral of the function f(x, y, z) along C1 is equal to 43.1 and the line integral of f(x, y, z) along C2 is −15.9, what is the line integral around the closed loop formed by first following C1 from P0 to Q0, followed by the curve from Q0 to P0 along C2, but moving in the opposite direction? Incorrect: Your answer is incorrect.
Answers
We're given that
[tex]\displaystyle \int_{C_1} f(x,y,z) \,ds = 43.1[/tex]
and
[tex]\displaystyle \int_{C_2} f(x,y,z) \,ds = -15.9[/tex]
The closed loop formed by joining C₁ and C₂ is then C₁ U (-C₂), which is to say we follow C₁ normally, then traverse C₂ in the opposite direction. Then
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds + \int_{-C_2} f(x,y,z) \,ds[/tex]
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds - \int_{C_2} f(x,y,z) \,ds[/tex]
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = 43.1 - (-15.9) = \boxed{59}[/tex]
a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox
Answers
Hey help please math I need help good luck I’ll I’ve point
Answers
Answer:
180 degrees
Step-by-step explanation:
180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.
What is the position of B on the number line below?
Write your answer as a fraction or mixed number
Answers
Step-by-step explanation:
B = 1 4/5
because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.
and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.
and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.
therefore, we have 9×1/5 = 9/5.
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha. Which expressions both calculate the number of hours Demetrius works in a 5-day work week? 5 x + 1 and 5 ( x + 1 ) 5 x plus 1 and 5 times open paren x plus 1 close paren ( x + 1 ) × 5 and 5 × x + 1 open paren x plus 1 close paren times 5 and 5 × x + 1 5 ( x + 1 ) and 5 x + 5 5 times open paren x plus 1 close paren and 5 x plus 5 ( x + 1 ) × 5 and 5 + ( x × 1 )
Answers
The number of hours worked by both Latisha and Demetrius is; 5x + 5(x+1)
According to the question:
We are required to generate an expression that can be used to calculate the number of hours used to work by Latisha and Demetrius.Since Latisha works x hours per day; In 5 days she works 5x hours.Demetrius works 1 more hour each day than Latisha; In 5 days; she must have worked; 5(x +1) hours.The sum of both of them gives; 5x + 5(x +1).
Read more:
https://brainly.com/question/16989990
y-3=1/2(x-7)
PLS HELP ME OUT GUYS
Answers
Answer:
X = -1
Step-by-step explanation:
y - 3 = 1/2 (x - 7)
x would equal -1.
Can someone please answer this question? Someone answered and they deleted their answer, so I need someone else to help me!
Please do not delete your answer, steal the points, or send links, I really need some help!
Answers
Check the picture below.
now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.
looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.
Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.
so 1 ≅ 2 and 1 ≅ 4.
how is 7 square root 2 is equal to 49?
Answers
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Write two numbers that multiply to −33 and add to 8
Answers
Answer:
-3 and 11
Step-by-step explanation: