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

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]

Required probability = 0.8015


Related Questions

If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10

Answers

Answer:

D) -10

Step-by-step explanation:

We will assign g(x) to be equal to 25, and then solve for x:

25 = -3x-5

30 = -3x

10 = -x

-10 = x

So D is correct

Answer:

-10 is correct option

Step-by-step explanation:

g(x)=-3(x)-5

g(-10)=-3(-10)-5

=30-5

=25

The double number line shows the amount of time a hen needs to lay 1 egg.
Complete the table to show the same information as the double number line.
Eggs Time (hours)
3
100
12

Answers

I realize the double number line in this exercise can be as shown in the attached image, in that case, the table, correctly completed is:

Eggs      Time (hours)

 3                   75

 4                  100

 12                300

Method to complete the table.

First, you must see the double number line (attached image), in this we identify a hen needs 25 hours to lay 1 egg, by this reason, to identify the time required for a certain number of eggs, just multiply the number of eggs by 25 (the number of hours shown on the double number line), then:

3 * 25 = 7512 * 25 = 300

To calculate the number of eggs taking into account the time, you must divide the hours by 25:

100 / 25 = 4

In this way, you can check that the answers are 75, 4, and 300 respectively, to complete the table in the correct form.

You can review more exercises and test your new knowledge about the double number line at the following link: https://brainly.com/question/13553589?referrer=searchResults

Answer: eggs  time

                3          75

                 4         100

                12          300

Step-by-step explanation:

FAR is to DISTANCE as DEEP is to __?__.

Answers

Answer:

depth

Step-by-step explanation:

far is a describing distance

deep is describing depth

Please help ASAP this is due today

Answers

Answer:

good luck

Step-by-step explanation:

the mean is all of them added up then divided by how many numbers there are the median is where you put them in order putting the numbers in order then finding the middlel mode is the most of the same numbers and range is the biggest number

Answer:

mean- 104.83

median- 102

mode- 101

range- 28

Step-by-step explanation:

mean is all numbers added together then divided by however many numbers there are. sum of all numbers is 629, divided by 6 is 104.83 repeating.

median is the number in the middle. since there are six numbers and no middle one, the two in the middle (when ordered smallest to largest) are 101 and 103. the number between those two is 102 and therefore the median.

mode is the number that appears the most in the data set, which is 101 in this case.

range is the difference between the largest number and the smallest. the largest number is 121, minus 93, the smallest number, gives you 28.

hope this helps!

4764 to the nearest ten

Answers

4,760 and then if there’s a unit of measurement

I NEED YALL HELP PLEASE !!!! On 1,2,3

Answers

Answer:

1) 20%

2) 30%

3) 50%

Step-by-step explanation:

Answer:

1. 40%

2. 25%

3. 60%

Step-by-step explanation:

Solve the polynomial equation = 3

Answers

Answer:

lol the is no equation there to solve

What is 442 divided by 13

Answers

442 divide 13 = 34!!!!!!!!

of the students in the lunch room 40% are girls there are 20 girls in the the lunch room how many students are in the lunch room

Answers

Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

b bananas cost $1.45 and a apples cost $2.35.
(a) How much does one banana cost?
(b) How much does one apple cost?
(c) Write as a single fraction the cost of one
banana and one
apple.​

Answers

The required one banana cost, one apple cost, and a single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

There is b number of bananas and a number of apples.
The cost of total bananas and apples is $1.45 and $2.35.

(a) Cost of one banana is,
       For b bananas = $1.45
              dividing both side by b
             b/b bananas = $1.45/b
              1 banana = $1.45/b

(b) Cost of one apple is,

For a apples = $2.35
dividing both side by a
         a/a = $2.35/a
      1 apple = $2.35/a

(c) Single fraction is given by = cost of one banana/ cost of one apple
                                                =    (1.25/b) / (2.35/a)
                                                =   0.54* a/b

Thus the required one banana cost, one apple cost and single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.


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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:

C closed

Step-by-step explanation:

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

1 /13

Answer:

1/13???

Step-by-step explanation:

1/7 divided by 20/21

Answers

Answer: 3/20

Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20

FOR BRANLIEST PLEASE HELP!!

Answers

Answer:

75°

Step-by-step explanation:

<4=<105 because they are corresponding angles.

Angles along a straight line add to 180°, so <1+<4=180. Therefore <1=180-105=75°

Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?

Answers

His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25

Answer:

75% correct and 25%error

Step-by-step explanation:

As 12÷16×100=75%

The error =100-75=25%

Any help? I need to describe the change of the equation, in terms of it getting thinner (>) or wider (<). I don't exactly understand how to do this, can anyone explain? ​

Answers

9514 1404 393

Answer:

  no change to the width of the curve

Step-by-step explanation:

Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.

The equation represents a transformation of the parent function

  y = x²

The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.

Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."

The curve does get wider for larger y-values. It is said to "open upward".

__

Additional comment

The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."

Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.

Answers

The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!

Cost to store-$152, Mark up 50%, Selling Price-?

Answers

Answer:

Amount of selling cost = $228

Step-by-step explanation:

Given:

Amount of cost to store = $152

Mark up = 50%

Find:

Amount of selling cost

Computation:

Amount of mark up = Amount of cost to store x Mark up

Amount of mark up = 152 x 50%

Amount of mark up = $76

Amount of selling cost = Amount of cost to store + Amount of mark up

Amount of selling cost = 152 + 76

Amount of selling cost = $228

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

What is the median of the numbers 63,5,0,0,45,2,23,16

Answers

Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

Please help in lost. :(


Burger king can make burgers at a rate of 4 burgers/minute. In order to address the heavy volume of customers, they need to continue at this rate for 15 minutes. If they continue to make burgers at this rate, how many hamburgers will Burger King make in 15 minutes?

Answers

Answer:

60

Step-by-step explanation:

This is 4x15.

60 Burgers.

This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?
A 120
B 80
C 60
D 30

Answers

Pretty sure it’s has 8 faces so if I’m not wrong the answer should be 30

Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset includes many features of houses such as the selling price($), total living area (square feet), age (years), value of the land ($1000) the house was buildon, number of bedrooms and bathroom. We want to predict the selling price of a house ($)based on the total living area.(a) Identify the response variable (y): (Choose one.)i. total priceof all houses in the U.S.ii. average priceof houses in the U.S.iii. priceof a house in Saratoga, N.Y.

Answers

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

Answers

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

How to solve this problem?

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

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What is the constant in 24y-8

Answers

Answer:

8 ( 3 − 1 )

Step-by-step explanation:

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

what is the value of 9 in the number 2,093,507 please no links​

Answers

Answer:

ten thousands

Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given. find p(x y>2)

Answers

Answer:

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Step-by-step explanation:

Given

The question has missing details, and it is poorly formatted.

See attachment for complete question

From the attachment, we have:

Calculate: [tex]P(Y = 3 | X = 2)[/tex]

This is calculated as:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

From the attached image, we have:

[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3

[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2

This gives:

[tex]P(X = 2) = 0.35[/tex]

So, we have:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

I just need the q1 med and q3

Answers

Answer:

Q1 = 6

Med = 12

Q2 = 15

Step-by-step explanation:

10. What is the measure of ZP?*
E
(15m + 17)º
-Q
(4m – 10)
P
(7m - 9)

Answers

Answer:

m∡P = 40°

Step-by-step explanation:

15m + 17 + 4m - 10 + 7m - 9 = 180

26m - 2 = 180

26m = 182

m = 7

∡P = 7(7) - 9 = 49 - 9 = 40

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