Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 16% of all ticks in a certain location carry Lyme disease, 10% carry HGE, and 10% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease

Answers

Answer 1

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364


Related Questions

Please help me!!!!!!!!!!!!!!

Answers

Answer:

The first, third, and last statements are true.

First, third, and last

Help me with this please.

Answers

Answer:

JL = 78

Step-by-step explanation:

MN is a midsegment. Based on the midsegment theorem,

MN = ½(JL)

MN = 5x - 16

JL = 4x + 34

Plug in the value

5x - 16 = ½(4x + 34)

5x - 16 = ½*4x + ½*34

5x - 16 = 2x + 17

Collect like terms

5x - 2x = 16 + 17

3x = 33

Divide both sides by 3

x = 11

✔️JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34

JL = 44 + 34

JL = 78

Estoy realmente aburrido, así que aquí están algunos de mis puntos ~ ¿Cuál es la respuesta a la cosa en la captura de pantalla? ¿No sabes qué es?

Si obtienes la respuesta de inmediato si no, lo siento jajaja

Answers

Answer:

c = 7x

Step-by-step explanation:

espero que esto ayude

Question is in the jpg link

Answers

Answer:

B

Step-by-step explanation:

A pool holds 19,900 gallons of water. There are two

Answers

Answer:

396010000

Step-by-step explanation: You multiply 19,900 * 19900 because there are 2 pools and you will get your answer

361,000,000 is your answer. Hope this helps

There is 1/3 gallon of water in a 3-gallon container. What fraction of the container is filled?​

Answers

Answer:

ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH

Step-by-step explanation:=1/9

What Multiple Of 7 is less than 45 but greater than 40? A.41 B. 42 C.43 D.44

Answers

Answer:

The correct answer is B, 42.

Step-by-step explanation:

In order to know the answer to the given question, the following logical reasoning has to be made:

The multiple number of 7 that is less than 45 but greater than 40 is 42. This is so since 42 is the result of multiplying 7 by 6 (7 x 6 = 42). In turn, 7 multiplied by 5 is equal to 35 (7 x 5 = 35), which does not exceed the number 40, while 7 multiplied by 7 is equal to 49, which is not less than 45 (7 x 7 = 49).

How to solve:

5 1/2 + x/6 ≤ 3 1/3

Answers

Answer:

x≤-91

Step-by-step explanation:

Three students can wash a car in 16 minutes. If the time varies inversely with the number of students washing the car, how many minutes will it take two students to complete that same job?

A. 20
B. 22
C. 24
D. 26

Answers

C. 24

I did this question and got 24, im 100% this is correct.

Cory and Everett have collected model cars since the third grade. Cory has 80 model cars in his collection, which is 25% more than Everette has. How many model cars does Everette have?

Answers

Answer:

64 model cars.

Step-by-step explanation:

What we know.

Cory has 80 cars in his collection.

That is 25% more than Everett has.

We can deduce that the equation would be c = 1.25e.

So, how do we figure out e?

Well, 1.25 is the same as 5/4.

So, find the reciprocal of 5/4 and multiply by 80.

4/5 * 80 = e

64 = e

Everett has 64 model cars in his collection

h + 8.1 = −8.1
what does h equal

Answers

Answer:

H= -16.2

Step-by-step explanation:

Answer:

h = -16.2

Step-by-step explanation:

h + 8.1 = -8.1

Subtract 8.1 from both sides of the equation

h + 8.1 - 8.1 = -8.1 - 8.1

h = -16.2

Hope this helps :)

HELP PLEASE QUICK!!!!!!!!!!!!
A plumber charges a flat fee of $75 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.

Answers

C=25x+75 would be the equation

Step-by-step explanation:

75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain

Does anyone know the answer?

Answers

Answer:

HAS A BIG NO SIGN

Step-by-step explanation:

a board game that normally costs $30is on sale for 25 percent off. what is the sale price of the game

Answers

Answer:

22.5

Step-by-step explanation:

Hey there! first, we find 25% of 30 which equals 7.5 then we subtract 30 - 7.5 which is 22.5

Answer:

$22.50

Step-by-step explanation:

  25/100 times 30 = 7.5

30 - 7.5 = 22.5

The answer is then $22.50

For questions 9 and 11, solve for the remaining angles.

Answers

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

Choose the equation for the graph below

Answers

The answer to your question is “D”

Btw you can use DESMOS for future questions like this

An 8-cup bucket of paint costs $14.24. What is the price per pint?

Answers

Answer:

1.78$

Step-by-step explanation:

Step-by-step explanation:

8 cup bracket of paint coats [tex]\tt{14.24\$ }[/tex] ⠀

per paint backet costs=[tex]\tt{\dfrac{14.24}{8} }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{1.78\$ }[/tex] ⠀

Please help me with my homework!


Michael mowed 3/4 of the lawn. Andy mowed 1/2 of what was left. What fraction of the total lawn did Andy mow?

Answers

Answer:

1/8

1/4 left to mow he only mowed half so u times by 2 so 1/8

Please help me with this?

Answers

Answer: The answer is 3

Step-by-step explanation:

an exercise machine with an orignal price of $910 is on sale at 8% off. a. what is the discount amount? b. what is the exercise machine's sale price​

Answers

Answer:

it is and not b

Step-by-step explanation:

b is incorrect

Answer:

1. 72.80

2. 837.20

Step-by-step explanation:

Help me please
I’ll make it brainliest !!!!!

Answers

Answer:

The answer is the first option

Step-by-step explanation:

A company makes a profit of $5.8 million. This is $1.2 million
more than twice last year's profit.
What was last year's profit?

Answers

Answer:

I think last year, the company's profit was 2.3 million $

Step-by-step explanation:

5.8 - 1.2 = 4.6

4.6 divided by 2 = 2.3

Will give brainless asappppp

Answers

Answer:

$50 withdrawal from bank account

Step-by-step explanation:

If your withdrawing money, that's consider as taking away.

$50 withdraw from band account

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?

Answers

277 squared above the perimeter of the circular building find the markings of both sides

A gym coach needs to buy badminton supplies. Rackets cost $10 each, and a pack of birdies costs $4. The coach has a budget of $100 and needs at least as many packs of birdies as rackets. Which graph shows the possible number of rackets and packs of birdies that the coach can buy?

Answers

Answer:

u aren't showing any graphs but he can buy 8 rackets and 5 birdies :)

(−6x+3)−(−2x^2+6x−10)

Answers

i simplified it to, 2x^2 - 12+13

Answer:

2x^2-12x+13

Step-by-step explanation:

1. Distribute the - sign to all #'s within the parentheses

-6x+3+2x^2-6x+10

2.Combine like terms

2x^2-12x+13

Simplify the expression 8k + 3m - 2k - 8m.

Answers

Answer:

6k-5m

it is answerm.........

Answer:

6k - 5m

Step-by-step explanation:

8k - 2k =6k

3m - 8m = -5m

put the terms together

Ann Nguyen would like an installment loan for $5,750. Her bank will loan her the
money at 18% for 18 months. Her insurance company will loan her the money at
18% for 24 months. How much money will she save by choosing the smarter loan?

Answers

9514 1404 393

Answer:

  $281.40

Step-by-step explanation:

A financial calculator tells you the payment for the 18-month loan is $361.46, so her total payback amount is $6506.28.

Similarly, the payment for the 24-month loan is $282.82, and the total amount repaid is 6787.68.

The shorter-term loan costs less by ...

  $6787.68 -6506.28 = $281.40

Ann can save $281.40 by choosing the shorter-term loan.

Alice used a $250 cash advance from her credit card company to get cash while on a trip. The company charges a daily finance fee of 0.047%. She reported the advance plus the finance fee 40 days later. What amount did Alicia repay the company?

Answers

you do 0.047×40 and what ever that gives you you add it to 40 and it will give you the answer

The amount Alicia repaid to the company after 40 days is $254.7.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Advance cash = $250

Daily finance fee = 0.047%

The daily finance fee for 40 days.

= 40 x (0.047% x 250)

= 40 x 0.1175

= $4.7

The total amount paid after 40 days.

= 250 + 4.7

= $254.7

Thus,

The amount paid to the company is $254.7.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

A candy jar contains pieces of cherry and cinnamon candy. Seventy five percent of the candies
in the jar are cherry candies. The jar contains 24 cherry candies. How many pieces of candy
are in the jar?
A 32
OB 16
OC 40
D 8

Answers

Answer:

A

Step-by-step explanation:

I believe the answer is A) 32. I hope this helps!

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