During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?

Answers

Answer 1

Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu


Related Questions

Quinn and Alexander are painting their bedroom. Quinn has painted 2/5 of his room. Alexander has painted 2/3 of his room. Who has the more left to paint? Explain in a sentence and solve?

Answers

Answer:

Alexander

Step-by-step explanation:

Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, [tex]\frac{2}{3}[/tex] · 5 = [tex]\frac{10}{15}[/tex] and [tex]\frac{2}{5}[/tex] · 3 = [tex]\frac{6}{15}[/tex].

[tex]\frac{10}{15}[/tex] > [tex]\frac{6}{15}[/tex]. So, Alexander has painted more of his room than Quinn has.

helpppppppppppp meee

Answers

Answer:

-8

Step-by-step explanation:

Plz give brainliest

i dont have any

-8 is the correct answer!-1 - 7is the same as-1 + -7

Please help fast!!! Thank you:)

Answers

Answer:

Step-by-step explanation:

1. 1.325 x 10^7 = 13,250,000

2. 1.02 x 10^-6 = 0.00000102

Answer:

1 one is correct

3 one is correct

5 one is correct

Step-by-step explanation:

$500 at 12% for 6 months (0.5 years) Find the interest

Answers

Answer:

Step-by-step explanation:

500(.12)(.5)= $30 interest

f(x) = 3x + 7. What is f(4) ?

Answers

Answer:

I believe the answer is 19.

Cómo se formaron los conjuntos numéricos?

Answers

Answer:

Step-by-step explanation:

Los conjuntos numéricos son agrupaciones de números que guardan una serie de propiedades estructurales. Por ejemplo el sistema más usual en aritmética natural está formado por el conjunto de los números naturales, con la suma, la multiplicación y las relaciones usuales de orden aditivo.


Angle Relationship: Complementary OR Supplementary

Answers

Answer:

supplementary because this is not a 90 degree angle

also i know this person, if anyone want someone to do there homework they can text yktv.sham on insta gram and you can pay her

Write a quadratic function f whose only zeros are -3 and -12

Answers

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

how many oz do you think this cup is​

Answers

Answer:

I'm gonna say 12??

Step-by-step explanation:

Am I close?

Have a nice day! <3

Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold.

Answers

This funnel will hold approximately  2387.61    the volume of oil that the funnel can hold is approximately  2387.61 ?

HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =

Answers

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

Which is the graph of y= 2 8x - 3?
Graph B.
Graph C
Graph A
Please help!

Answers

Answer:

Graph C

Step-by-step explanation:

We can tell because the equation states that the y intercept is -3 and has a steep slope

7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.

Answers

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

How do I Solve 6=18x

Answers

Answer:

1/3

Step-by-step explanation:

6=18x

for x

x=6/18

x=1/3

Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?

Answers

Answer:

Incorrect

Step-by-step explanation:

Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.

Answer:

Incorrect

Explanation:

Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.

Solve the inequality write the answer in interval notation 5x<10 or 15-x<7

Answers

Answer:

[tex]\left \{ {{x<2} \atop {y>8}} \right.[/tex]

Step-by-step explanation:

WILL MARK BRAINLIEST PLEASE HELP!!!

A right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?

A. A Pair of intersecting lines
B. A Parabola
C. A Point
D. A Pair of parallel lines

Answers

Answer:its D. A pair of parallel lines

Step-by-step explanation:

Answer: parallel lines

Step-by-step explanation:

Formulate the null and alternative hypotheses that can be used to determine whether the school is losing money out of the raffle. Note that the issue is whether the school is losing money, not whether the school is breaking even. Please think about what the implication is when formulating the null and alternative hypotheses.

Answers

Answer:

https://brainly.com/question/23195326

Step-by-step explanation:

Alice earns M dollars for working 40 hours in a week.Which expression represents the amount of money alice earns each hour?
A.40M
B.40+M
C.40/M
D.M/40​

Answers

Answer:

m/40

Step-by-step explanation:

Please help me fast if possible :(

Answers

It’s b I hope this helps!

Answer:

B

Step-by-step explanation:

Hi there!

The first one is addition because if she got more, we are adding to it.

The last one seems to be a multiplication problem, "each friend"

I am so sorry if this is wrong, Hope you have a good day/night.

What is m∠G to the nearest tenth?

Answers

Answer:

Step-by-step explanation:

tan(G) = 28.2/45.8

G = arctan(28.2/45.8) = 31.6°

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Equal sides and Equal angles

Step-by-step explanation:

An online retailer wants to study whether more lenient return policies increase purchasing behaviors. They
select a random sample of 2000 customers who have made purchases in the past year.
They use a random number generator to select 1000 customer account numbers to assign to the treatment
group. The remaining 1000 customers are assigned to the control group.
What type of experiment design is this?

A) randomized block
B) stratified
C) completely randomized
D) marched pairs
E) cluster

Answers

Answer: Completely Randomized

Step-by-step explanation:

effect of one primary factor rather than many different variables

As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.

He uses matched pair of designs in his experiment design in which participants of the same traits get grouped in pairs.   After which within each pair, one participant gets randomly allotted to either the treatment, and the other is assigned to the other part.

Hence the option D is correct.

Learn more about the study whether more.

brainly.com/question/14894261.

(X-1)(-5X+1)=0
lesser X=
Greater X=

Answers

Lesser X= 1/5 (-5x+1)
Greater X= 1 (x-1)
Hope this helps!

Answer:

lesser x is -5x+1

Greater x is x-1

In a sequence of numbers, a4=12, a5=14, a6=16, a7=18, and a8=20.

Which equation can be used to find the nth term of the sequence, an?

a) an=2n+4

b) an=2n+12

c) an=3n

d) an=3n+12

I'm pretty sure it's a, but I just wanna check if I did the work right!

Answers

Answer:

you are right, it's a)❤

Step-by-step explanation:

a4=12---> put the formula in it

2×4+4=12

a5=14---> 2×5+4=14

a6=16---> 2×6+4=16

.

.

.

hope it helps

Answer please and explain

Answers

The picture isn’t loading for me I’m sorry dude :/

____________________

Answers

Answer:

the equation for that line would be y=0

Step-by-step explanation:

The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)

Find missing side lengths

Answers

Answer:

[tex]y=30\sqrt{2}[/tex]

Step-by-step explanation:

[tex]In[/tex]Δ[tex]ABC[/tex]

[tex]tan45=AB/BC[/tex]

[tex]1=30/BC[/tex]            [tex][tan45=1][/tex]

[tex]-------\\BC=30 \\-------[/tex]     ⇒   [tex]OC=30\\[/tex]

[tex]and[/tex] [tex]In[/tex] Δ[tex]ABC[/tex]

[tex]Cos45=Bc/AC[/tex]  

[tex]1/\sqrt{2} =x/y[/tex]

[tex]y=\sqrt{2}*x[/tex]

[tex]y=30\sqrt{2}[/tex]

------------------

hope it helps....

have a great day!!

Please help, test due in 2 hours! Will give good review and brainliest.

Answers

Answer:

B. Ellipse

...............................................

DUE SOON PLEASE HELP

Answers

Answer:

106 million tons

Step-by-step explanation:

Plastic takes up 24%, metal 8%, and 'other trash' 21%. Add those up and you get that those three take up a total of 53%. Now multiply 200 by 53% and you have 106 million tons.

Other Questions
What does a Keystone species do for the environment? Is bacteria a living or nonliving I NEED MY ANSWER I MARK BRANILISTS AN GIVE YOU A PUNCHhow can the sentences BEST be combined to logically show that one event follows the other? jack woke up extra early. he made breakfast for the whole family. after the french and indian war, tension between colonists and the birtish government increased becauseA: the british increased taxesB: British troops refused to leaveC: colonists went ahead with plans for a unionD: the British began to ignore the colonies A chef uses a large aluminum spoon with a mass of 38.0 g to stir a pot of boiling water. As a result, the spoons temperature increases by 3.60C. Consider that the specific heat capacity of aluminum is 0.90 J/gC. How much heat has the spoon absorbed? For credit, you must show all steps of your calculations. What is happening when an oxygen molecule is formed from two separate oxygen atoms? Unit 2 TestWhich postulate can be used to prove that the following triangles are congruent?A) ASAB sssC SASDAAS Which of the following are changes that occurred in Europe during the MiddleAges? (Check all 3 that apply).DA third of thepopulation inEurope diedPeople were ableto votePeople went fromliving in manors totownsWestern Europewas divided intosmall kingdoms The scatter plot below shows a plants height over time. Based on the graph, what is the best prediction for the plants height after 10 weeks? A. 5 inches B. 5.8 inches C. 6 inches D. 7.1 inches Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *hyperbolemetaphorpersonificationalliteration??? What do people give up in a command economy? What could be the average human density? Justify? 10 steps of orographic rain fall 3. Proceso, que desde el vientre materno nos mantiene en contacto con otras personasA) Comunicacin B) Dialogo C) Conversacin D) Incomunicacin4. Proceso que impide una relacin interpersonal fluida y sanaA) Comunicacin B) Dialogo C) Conversacin D) Incomunicacin5. La comunicacin tiene un procesoA) Unidireccional B) Bidireccional C) Tridireccional D) Todas las anteriores The different forms of the beef cattle color gene are called_ Entrega comida al estmago Which reformer active in the late 1800s most likely wrote this excerpt? a) jane addams b) lucretia mott c) "mother" jones d) maria montessori need helpppppp so can some of ya help me pls Why should Mike repeat this investigation?Mike needs to make sure that all the skateboards are not affected by friction.Mike needs to have more than one set of numbers to make an accurate graphThe investigation needs multiple trials to determine which board is the control.The investigation needs to be repeated several times to have the most accurate data. PLEASE HELP ASAP!!!!!!!!!!