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%.
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Step-by-step explanation:
B = 1 4/5
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Step-by-step explanation:
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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
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I hope this helps
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
33
Step-by-step explanation:
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
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Answers
Answer:
16.2
Step-by-step explanation:
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k = 72*9
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
5
Y
2
y
−
5
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Step-by-step explanation:
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We're given that
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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
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Answers
9514 1404 393
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2/3
Step-by-step explanation:
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The slope of the line is 2/3.
_____
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Answer:
YesStep-by-step explanation:
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Answer:
yes
Step-by-step explanation:
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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
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 )♥♥︎
Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m
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Answer:
ok thank u ig
Step-by-step explanation:
the sum of x and 4y is 9
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Answer:
y= -1/4x +9/4
Step-by-step explanation:
I don't know which form you wanted, so heres the slope form
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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).
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https://brainly.com/question/16989990
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