Mathematics College

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

Estimate the square root to the nearest (a) integer and (b) tenth.
[tex]\sqrt{27/4}[/tex]
a.neartest integer:____
b.nearest tenth:_____

Answers

Answer:

√(27/4) = 2.6

=> a.neartest integer: 2

b.nearest tenth: 6

Step-by-step explanation:

What is the value of x?

Answers

it’s d hope this helps

Helpppppppppppppppp

Answers

Tan 57 = x/15

x = 15tan57 = 23.1

The answer is A

Solve for x. 3x + 8x = 44

Answers

Answer: x=4

Step-by-step explanation: 3x+8x= 11x. Divide 44 by 11 and it equals 4

Hey there! [tex]\bold{3x + 8x = 44}[/tex]COMBINE your LIKE TERMS[tex]\bold{3x+8x = 11x}[/tex]NEW EQUATION[tex]\bold{11x =44}[/tex]DIVIDE by [tex]\bold{11}[/tex] on BOTH SIDES[tex]\bold{\dfrac{11x}{11} = \dfrac{44}{11}}[/tex]CANCEL out: [tex]\bold{\dfrac{11}{11}}[/tex] because that gives you [tex]\bold{1}[/tex]KEEP: [tex]\bold{\dfrac{44}{11}}[/tex] because it gives us the balue of [tex]\bold{x}[/tex]SOLVE ABOVE AND YOU HAVE YOUR ANSWER FOR [tex]\bold{x}[/tex][tex]\bold{\dfrac{44}{11} = 44\div 11 = 4}[/tex][tex]\boxed{\bold{Answer: x=4}}}\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

(30 points)
in the figure AB/CD. What are the values of x and y?
A: x=32, y=140
b: x=140, y=52
c: x=52, y=140
d: x=38, y=154

Answers

Answer:

Step-by-step explanation:

interior angles for ABCD is 360° and for ABO(triangle above) is 180°

from triangle,

you will get angle for OBA which is 180° - 38° - 90° = 52°

from angle B, we know that, straight line is 180°.

so,

180° = 52° +y- 12°

y = 140°

so, we can calculate x.

360° = 90° + 90° + 128° + x

x = 52°

While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis
spent $43. Write and solve an equation to find how much Jaclyn spent. Let x represent how much
Jaclyn spent.

Answers

Just multiply 44 times 3 the you should get your answer

You work 12 hours for $69. Find the rate per hour.

Answers

5.75 an hour good luck lollllllll

can sombody help me ill make you brainliest

Answers

Answer:

6^22

Step-by-step explanation:

15-(-7) = 22

6^22

Answer:

1679616

Step-by-step explanation:

WILL GVIE BRAINLIEST Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.

Answers

The answer is C
Hopefully it’s right

Maggie has already run 14 miles on her own, and she expects to run 1 mile during each
track practice. How many track practices would it take for Maggie to run 44 miles?

Answers

Answer:

Step-by-step explanation:

44 - 14 = 30 more

Answer:

30 practices

Step-by-step explanation:

If a+b=20 and ab=50
Then find the value of a^2+b^2

Answers

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

a² + b² = 300

Step-by-step explanation:

a + b = 20 ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

a² + b² = 400 - 100

a² + b² = 300

Help please who ever correct brainliest

Answers

Answer:

Step-by-step explanation:

3 _

A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon

Answers

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Select the correct image.
Which quadrilateral is similar to quadrilateral LMNO?

Answers

Answer:

The second one

Step-by-step explanation:

If you divided all the dimensions by 2 they will al, simplify to the second image

The quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.

What is the similarity law?

It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

The quadrilateral LMNO is shown in the picture

As we know from the similarity law, the ratio of the corresponding sides is in the same proportions.

Applying the similarity law in the quadrilateral LMNO and quadrilateral SRQP:

LM/PQ = MN/RQ = NO/RS = LO/SP

3/1.5 = 4/2 = 2/1 = 5/2.5 = 2

Thus, the quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.

Learn more about the similarity here:

brainly.com/question/8045819

#SPJ5

b)convert 24 kilometres into miles - 1

Answers

Answer:14.9129

Step-by-step explanation:

Answer:

hmmm sorry i dont really know

expand and simplify (3x-3)(2x-1)

Answers

Answer:

[tex]6x^{2} -9x+3[/tex]

Step-by-step explanation:

[tex](3x-3) (2x-1)[/tex]

[tex]3x (2x-1)-3(2x-1)[/tex]

[tex]6x^{2} -3x-6x+3[/tex]

[tex]6x^{2} -9x+3[/tex]

5+19x2
What is the correct answer

Answers

Answer:

Step-by-step explanation:

PEMDAS 19 times 2 is 38 plus 5 equals 43

Please I need help! Answer as soon as possible

Answers

D.

Because the pattern so far has gone blue, red, blue so the next one must be red.

And the section numbers are increasing by one each time. 1, 2, 3 so the next one must be 4.

Select all the correct answers.
Which values of x are solutions to this equation?
-1/2+ 5x = 8
11.5
-1.5
-2
-8
8
3

Answers

Answer:

x = 1.7

Step-by-step explanation:

Given

-½ + 5x = 8

Required

Find x

-½ + 5x = 8

Multiply both sides by 2

-1 + 10x = 16

Collect like terms

10x = 16 + 1

10x = 17

Divide both sides by 10

x = 1.7

Answer:

8, and 2

Step-by-step explanation:

(btw the three in the question is suppose to be a 2)

but those two are the only ones that you can add and the equation still equal 8.

Four more than twice a number is the same as 8 less than three times the same
number. What is the number?

Answers

Answer:

Step-by-step explanation:

PLS HELP I WILL GIVE BRAINLEST

Michelle is an architect who builds skyscrapers. She has a sheet of measurements that she needs convert before she can begin her next project. One wall is 12 ⅜ ft long and has a width of 19.73 ft. Change the given mixed number to a decimal. Circle the correct response.
A 12.3 ft
B 12.375 ft
C 12.38 ft
D 12.83 ft

Answers

Answer:

B 12.375 is the answer

Step-by-step explanation:

Key skills needed: Fraction to Decimal Conversion

1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]

2) We need to find 12 and 3/8 as a decimal.

[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]

This means it would be 12."something"

We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.

3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).

4) Check the image I posted to see how I did 3 ÷ 8.

5) Well based on the division, 3 divided by 8 is 0.375

This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]

Therefore 12.375 is your answer

Hope you understood and have a nice day!! :D

Please help me thank you and show work

Answers

Answer:

m=-18

Step-by-step explanation:

6m=-108

m=-108/6

m=-18

Answer:

okay so the answer is -18

Can someone help me asap.

Answers

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

2. What is the value of 6x – 3y if x = 5 and y = 1

F.11.
G.33
H.6 with an exponent of 5
I.65

Answers

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

Mary wants to buy 8 pounds of
grapes. Each pound costs $1.89.
Mary has $15. Does she have enough
money to buy the grapes? Explain.

Answers

Answer:

No, he does not have enough money to buy the grapes because he only has 15$ when in total the the grapes are $28.35.

Step-by-step explanation:

ASAPPP!!!!
A large pizza costs $12 and each topping costs an additional $2.50.
This situation can be represented by the equation y = 12 + 2.5x, where x represents the number of toppings and y represents the total cost.
What is the total cost for 9 toppings?
-$23.50
-$14.25
-$ 34,50
-$ 22.50

Answers

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Help please I need help .Solve 0.1x=3 for x
A. 3.100 B. 300.000 c. 2.900 D. 30.000 E. 3.000

Answers

it’s D because you divide both sides by 0.1 and get 30

Chau runs 10 miles in 58 minutes. How many minutes does he take per mile?

Answers

Answer:

Per mile Chau takes 5.8 minutes per mile.

Step-by-step explanation:

To find this answer you would have to do the amount of time divided by the amount of miles. Always remember when dividing time most of the time goes first unless the problem / instructions say differently. So, when you do 50 divided by 10 you will get 5.8. So, Chau takes 5.8 minutes per mile.

is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

10 points please help

Answers

I think he went wrong in step 3 ur welcome

He went wrong at step one so A. Because 3^2 is 9 not 6.

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