1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka57 [31]
3 years ago
6

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha

t 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
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

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

You might be interested in
HEELLLLPPPP PLEEEAASSSEEEE
sesenic [268]

Answer:

D

Explanation:

7 0
3 years ago
25x²+0x-1<br><br> Factor completely<br><br> Please provide an explanation if able
kati45 [8]

Answer:

(5x-1)(5x+1)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is given by the expression 10x^3+46x^2-21x-27. The area of the base of the prism is given by t
andrezito [222]
H = V/B

h =  \frac{10x^3+46x^2-21x-27}{2x^2+8x-9} = 5x + 3 \\  \\ c)5x+3&#10;&#10;

The base of the prism is given by the expression 2X^2+8x-9
then c)5x+3
5 0
3 years ago
Read 2 more answers
Ms.diaz wants to to divide her class of 30 students into 10 groups. The groups do not need to be equal size. What are some of he
Alja [10]
10 and 3 since that equals 30.
7 0
3 years ago
Read 2 more answers
To which family does the function y= (x+2)^1/2 +3 belong? A.quadratic B.square root C.exponential D.reciprocal
Alex Ar [27]
It belongs to the square root family. Your answer is B. Why the square root family? Because y = (x+2)^{\frac{1}{2}} +3 can be written as y = \sqrt{(x+2)} + 3

When you raise to 1/2 or 1/3 it is like saying the square root or the cube root.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the correct letter answer of the value of the log equation?
    15·1 answer
  • A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.19. They have also deter
    11·2 answers
  • The product of 5 and y added to 3 algebraic expression
    7·1 answer
  • Which is the larger value below?<br> A) 9.54 x 10-3<br> B) 6.54 x 10-4
    7·2 answers
  • explain how using partial quotients to divide is similar to using the distributive property to multiply
    5·2 answers
  • the globe arena in stockholm, sweden is the worlds largest hemispherical bulilding. the diameter of the arena is 110 meters. the
    15·1 answer
  • A line passes through point (3, 7) and has a slope of 3/4 .
    13·1 answer
  • Transversal / cuts lines a, b, c, and d.<br> Which two lines are parallel?
    5·1 answer
  • Need help please! I'll give you BRAINLESIT!​
    10·2 answers
  • the graph shows a line of the best fit for data on the age of a car and the overall mileage of the car.What is the mileage of a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!