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

all parallelogram are rectangle?true or false​

Answers

Answer. False... All rectangles are parallelograms.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer: False

Step-by-step explanation:

Parallelogram does not include some of rectangle's property

Having four congruent anglesHaving congruent diagonals

If you need a more graphical explanation, refer to the attachment below.

help me please with this answer I'm stuck ​

Answers

linear is the correct answer

You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.

Answers

1800 odkdkcheidncncmk

Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51

The sequence below shows the
number of cells in a sample at
the end of the four hours. 6, 12,
24, 48, which recursive formula
models the sequence?

Answers

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

4. 2x2 + 4x + 10 = 0

Answers

Answer:

Step-by-step explanation:

This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.

a = 2

b = 4

c = 10

You could divide this equation by 2

a = 1

b = 2

c = 5  

These three are smaller and easier to calculate. The answer will be the same.

x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)

x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1

x = (-2 +/- sqrt(4 - 20) ) / 2

X = (-2 +/- sqrt(-16) ) /2

x = (-2 +/- 4i ) / 2

x = ( - 1) +/- 2i

The Westminster Widget Company has an old machine that can produce 24 widgets in three hours. Now they have purchased a new
machine that can produce 48 widgets in four hours. Working together, how long will it take the two machines to produce 120
widgets?

Answers

9514 1404 393

Answer:

  6 hours

Step-by-step explanation:

The old machine produces widgets at the rate of ...

  (24 widgets)/(3 h) = 8 widgets/h

The new machine produces widgets at the rate of ...

  (48 widgets)/(4 h) = 12 widgets/h

The total rate of production of the two machines is ...

  (8 +12) widgets/h = 20 widgets/h

Then the time required to produce 120 widgets is ...

  (120 widgets)/(20 widgets/h) = 6 h

Working together, the two machines can produce 120 widgets in 6 hours.

Answer:

6

Step-by-step explanation:

took the test

Please help, test due in 1 hour! I will give brainliest!

Answers

Answer:

Soooooo, for Part A I got answer choice D.

I didn't want to overthink it like I normally do with everything else in life so i was like, there are 3 boxes on the side and 4 boxes on the bottom, so 3 times 4= 12.

Now i know that the area of the neighborhood is 12 blocks and 20 blocks equals a mile. 12 is obviously not 20, twelve is actually a little bit over half of twenty or .50%, so the best answer would be D.60%.

Now part B, i dont know bout all that, I can only give you half an answer. Copped out at the mention of the word Density XD. Hope that first part helped tho.

PLEASE HELP!!!!!
The model represents the quotient of two fractions.

Which equation does this model represent?

A. 5/6 ÷ 1/2 = 1 2/3
В. 2 1/2 ÷ 1/2 = 5/6
C. 5/6 ÷ 2 1/2 = 1/3
D. 2 1/2 ÷ 1/2 = 5

Answers

9514 1404 393

Answer:

  D.

Step-by-step explanation:

The shaded portion of the three large rectangles is 2 1/2 of them. The divisions indicated by the fractions at the bottom are 1/2. The figure shows that 2 1/2 can be divided by 1/2 with the result that 1/2 goes into 2 1/2 five times.

This description seems to match the equation of choice D.

I need help soo yah cna you help ne?

Answers

The correct answer is 8 in

Which fractions equal the whole number 3?

Answers

Answer:

9/3=3

Step-by-step explanation:

3 goes into 9   3 times

3,6,9

9 thirds of three so 9/3

Find the measurement of angle P.

Answers

DK but hi how are you hope you have a great day

A pair of shoes is on sale for $66.00. This is 75% of the original price. What was the original price?

Answers

Answer:

$88.00

Step-by-step explanation:

66=3/4x

66/.75=66*4/3=88


Find mHK.
pls hurry and answer lol

Answers

It would be mark N? I think

Answer:

mHK= 104

Step-by-step explanation:

X+39=4X

39 = 3x

X=13

13+39=4(13)

52=52

HK=52+52

mHK=104

What is the median of the data set?

73, 20, 63, 23, 20, 40, 67

Answers

Answer:

40

Step-by-step explanation:

if you line the numbers up like so you will see the number in the middle is 40

aka the median

20,20,23,40,63,67,73

Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2​

Answers

B I think I’m not sure because you did not include the type of prism... rectangular triangular? Also if your talking about lateral surface area! so 400mm squared b I think

the sum of two number is 50,and their difference is 30.find the numbers​

Answers

Answer:

40 and 10

Step-by-step explanation:

if you add them you get 50 and if you subtract them you get 30

Answer:

40 and 10

Step-by-step explanation:

Let the bigger number = x

Let the smaller number = y

x+y=50

x-y=30

(add the equations)

(x+x)+(y-y)=(50+30)

2x=80

x=40

x+y=50

40+y=50

y=10

Riley purchased a 30-day International cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte,
or part thereof, of data costs $0.28. Find the cost of the plan if he uses 388 MB of data during the trip.

Answers

Answer:

the cost of the plan in the case when 388MB is used is $101.64

Step-by-step explanation:

The computation of the cost of the plan in the case when 388MB is used

Given that

One time fee is $35

And, it involves 150 MB of data usage

Also for the extra megabyte it charges $0.28

So for 388MB, the cost of the plan is

= $35 + 0.28 × (388 MB - 150 MB)

= $35 + $66.64

= $101.64

Hence, the cost of the plan in the case when 388MB is used is $101.64

For a quadrilateral to be a rhombus, the diagonals __ and __.

Blank one options:
must be congruent
must not be congruent
can be congruent or not congruent

Blank two options:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular

Answers

Blank 1= must be congruent
Blank2= must not be perpendicular


Also search up a quadrilateral rhombus see what it looks like then search up the definition of congruent and perpendicular and you’d be able to see for yourself

factor the linear expression 24y - 40 using the greatest common factor of the terms

Answers

Factor: 24y-40
Answer: 8(3y-5)

Simplifying: 24y-40
Answer: There are no like terms.

Please Help!!!!!!
I need the answer ASAP!

Answers

Bro use Socratic that will help you.

Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode

Answers

Answer:

C

Step-by-step explanation:

C is the answer becasue range is not classified as a measure of central tendency

HELPPP PLEASE AND NO LINKSSS PLEASE !!!!

Answers

Answer:

1. x=1/8 y+7/8

2. x=1/5 y + -14/15

Step-by-step explanation:

Sorry if I'm wrong

Answer:

X=2/3    Y=?

Step-by-step explanation:

Y=8x-7 and y=5x+14

put the Y's together then solve for X

Then plug in X in the equation

Hope it helps

HELP MATH QUESTION!!!!

Answers

Answer:

Keep it up

Step-by-step explanation:

Your teacher is nice for posting it to you iif you can not solve again brick it to me and followed me

Which of the following points( X,Y) lies on the graph of 8X + 2Y = 24

Answers

Step-by-step explanation:

don't see any points to pick from however the following would lie on the graph

(0,12)

(1,8)

(2,4)

(3,0)

(4,-4)

Can someone please help.

Answers

Answer:

26 degrees :)

Step-by-step explanation:

Yeah it’s 26 degrees

Help me please this is due tonight!

Here is a photo of the problem. I’m a little blank on my math tonight, any help is appreciated!

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Using these rules, along with the distributive property, we can simplify the given expression.

  [tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]

It takes ⅙ of a yard of ribbon to make one bow. How many bows can be made with 4 yards of ribbon?

Answers

Answer:

24 bows can be made with 4 yards of ribbon

you can make 24 1/6 yard bows with 4 yards of ribbon

find area,of the triangle
digits only. I counted the lines, 7 and 12 ÷2. and it was wrong ​

Answers

Answer:

33 units²

Step-by-step explanation:

1/2(11 x 6) = 33 units²

5. In quadrilateral RSTW. diagonals RT and SW are perpendicular bisectors of
each other, Quadrilateral RSTW must be a
Rectangle Rhombus m. Square
a,
c. I and IN
d. 1. I, and I​

Answers

Answer:

Rhombus and/or Square

a=5 (the fifth try) The amount of time Chip took to run through the maze on the 5th try can be modeled by t = 0.5a2 - 9a + 48.5 where t = time in seconds. Variable a=5, and then calculate the time t. Compare your time to others. Is it higher or lower? Why?​

Answers

Answer:

lower

Step-by-step explanation:

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