A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 90% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Two hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks

Answers

Answer 1

Answer:

1. How many will be infected next week

From the information, there are 1000 mice in the lab.

200 mice are infected. It is expected that 90% of the mice are expected to overcome the infection and 40% uninfected mice will be infected.

If 200 mice are infected, then number of uninfected mice is:

= 1000 - 200 = 800

90% of infected mice get cured. Out of 200 mice who are infected, the number of mice getting cures is:

N(E) = P(E)×N(S)

= 0.90*200

= 180

The number of mice still infected is 200 - 180 = 20

Out of 800 uninfected mice, 40% will get infected. Number of infected mice is:

N(E) = P(E) * N(S)

= 0.40 * 800

= 320

​Total number of infected mice is 320 + 20  = 340 . Thus, the number of infected mice next week is 340

2. How many will be infected in 3 weeks

After three week, the number of infected mice is 340. Therefore, the number of uninfected mice is 1000 - 340 = 660

Now, out of 340 mice, it is expected that 90% will recover. This indicates that 10% will remain infected. Then the number of infected mice is

N(E) = P(E) * N(S)

= 0.10 * 340

=  34

​  

Out of 660 mice, 40% will be infected. The number of mice becoming infected is

N(E) = P(E) * N(S)

= 0.40 * 660

= 264

Total number of infected mice is 264 + 34 =298. Thus, the number of infected mice after two weeks is 298.


Related Questions

Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. Z+1=Z+6

Answers

Answer:

No solutions

Step-by-step explanation:

I say this because Z could be a lot of things but it would still not be the same

Erin counted 8 commercials in 15 minutes. Find how many commercials are
shown in 1 minute.
Your answer

Answers

Answer:

the answer is 23

Step-by-step explanation:

The coefficient in the expression x + 7 is

Answers

the coefficient in the expression is x

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 2 < x < 4.
C
2
51
3
39
4
29
5
21
6
15

Answers

i would say it could possibly be 67

1. Evaluate 7m + 3mn; when m=8 and n=14?

2. Simplify: 675 ÷ (6+9 ÷ 3)

3. (3x - 2)(4x +1)

Answers

Answer:

1. 392

2. 75

3. [tex]12x^{2} - 5x -2[/tex]

Step-by-step explanation:

1. 7×8 + 3×8×14 = 56 + 336 = 392

2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75

3. [tex]12[/tex][tex]x^{2}[/tex] + [tex]3x -[/tex] [tex]8x - 2[/tex] = [tex]12x^{2} -5x-2[/tex]

12y = 24х
6x = 3y +5

Answers

Answer:

24x-12y=0

6x-3y-5=0

a1/b1  = 4

a2/b2 =4

a1/b1 = b1/b2 ≠ c1/c2

∴ The pair of linear equations in two variables is said to be inconsistent and do not have any solution.

Answer:
The equation has no solutions

Explanation:
0 does not equal 20

Please see the picture attached.

Y is the midpoint of XZ. X has coordinates (2, 8), and Y has coordinates (–3, 10). Find the coordinates of Z.

Answers

Answer:

The coordinates of Z is (-8,12)

Step-by-step explanation:[tex]\frac{2+x^{2} }{2}= -3 \\\frac{8+y^{2} }{2} = 10[/tex]

You multiply -3 by 2 to get -6 then multiply 10 by 2 to get 20

then you create the equations [tex]2+x^{2} =-6\\8+y^{2} =20[/tex] you subtract 2 by -6 and you get -8 (x coordinate) and you subtract 8 by 20 to get 12 (y coordinate)

To check your answer you use the Midpoint formula [tex](\frac{x^{1}+ x^{2} }{2} )(\frac{y^{1}+y^{2}}{2}) =M[/tex]

[tex]\frac{2+-8}{2} =\frac{-6}{2} = -3\\\frac{8+12}{2} =\frac{20}{2} =10[/tex] and you get your midpoint.

Brainliest is gained through the correct answer, that's explained. At 86 km/h, how far can you travel in 8 h? Use unit analysis to check your answer.

Answers

Glad I can help!!!

Answer:

688

Step-by-step explanation:

Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.

If satisfied leave a review to let me know how I did and feel free to give brainiest.

Answer:

688 kilometers.

Step-by-step explanation:

im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)

999x645 using distributive property

Answers

Answer:1. distributive property

2. commutative property (the order of 8x and -24 is swapped)

3. reflexive property ((8-24) = -16; -16 is substituted for 8-24. I prefer "substitution property".)

4. commutative property (the order of 8x and -16 is swapped)

5. distributive property

Step-by-step explanation:

Mary is having a party at the park. She is going to spend $438.
The cost to rent the shelter is $15 plus food is going to cost $6
per person. How many people is she having?

Answers

Answer:

70 people

Step-by-step explanation:

428-15=423

423/6=70.5

she can invite 70 people

1. -7-(-2) *

2. 5-(-3) *

3. -6-4 *

4. -3-(-3) *

Can someone please help me? it would mean a lot

Answers

1. -7-(-2)
= -7+2= -5

2. 5-(-3)
= 5+3=8

3. -6-4
= -6+(-4)= -10

4. -3-(-3)
= -3+3= 0

A 5.5 foot tall woman is standing 14 feet from a streetlamp casts a six foot shadow. How high is the lamp?

Answers

Answer:

The height of the lamp is  18.33 ft

Step-by-step explanation:

We can think in two triangle rectangles, one with cathetus of:

5.5ft and 6ft (the one formed by the woman ad her shadow)

And another triangle with cathetus equal to:

6ft + 14ft (the distance between the end of the shadow and the lamp)

And the other cathetus is the height of the lamp, H.

As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:

H/(6ft + 14ft) = 5.5ft/6ft

H/(20ft) = 5.5ft/6ft.

H = (5.5ft/6ft)*20ft = 18.33 ft

can someone please help me with this geometry question?

Answers

Answer:

25

Step-by-step explanation:

So basically it’s a line that’s has 3 points.
From G-H it’s 8
From H-I it’s 17
The whole line would be named GI so you are basically just adding the 2 parts together 8+17 to get the answer of 25!

solve for y
y + 8 = 2

Answers

Y + 8 = 2
-8 =-8
Y=-6

Answer:

y = -6

Step-by-step explanation:

y + 8 = 2

=> y = 2 - 8

=> y = -6

I roll a number cube twice. What is the probability of rolling a 3 twice? ​

Answers

Glad I can help!!!

1/36

If satisfied give brainiest please :D

please solve: m²j³j⁵/m⁸j⁻²m³

Answers

Step-by-step explanation:

first, simplify each part.

m²j^8

m¹¹j^-2

now put them together:

(m²j^8)÷(m¹¹j^-2)=m^-9 j^10

if anything is unclear, ask freely.

y = f(x) = 4x
Find f(x) when x=1/2
Enter the correct answer.

Answers

Answer:

2

Step-by-step explanation:

4(1/2) = 2

the answer to this question is 2

If f(x)=-3x+4 and g(x)=2 solve for the value of x for which f(x) = g(x) is true

Answers

Set the equations equal to eachother. Make -3x+4 = 2 and solve. You got this!

If the area of a triangular kite is 40 square feet and its base is 4 feet, find the height of the kite. Give solution with units.

Answers

Answer:answer it your self dummy

Step-by-step explanation:

If h(x)=-3x^2-6x, find x when h(x)=-72.

Answers

Answer:

x = 6, -4

Step-by-step explanation:

3x²-6x = -723x² - 6x +72 =03(x²-2x+24) =0x²-2x+24=0(x-6)(x+4)=0x= 6, -4

Which statement is the most precise and correct definition of parallel lines?
Two lines are parallel if they do not intersect.
Two lines are parallel if they are on the same plane.
Two lines are parallel if they intersect at a right angle.
Two lines are parallel if they are at a constant distance apart.

Also does anyone have the Final exam answers for primavera geometry 1a?

Answers

Answer: Two lines are parallel if they are at a constant distance apart

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3xy(5x2 + 2xy + 3y2)
Multiply this

Answers

10x+2xy+6y I answered this must self and solved it

PLEASE HELP ASAP (timed assignment)

Aidan is on vacation and needs to arrange transportation. A rental car costs 45 dollars per day plus a one-time cost of 15 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.

C(x)=________

If Aidan has budgeted 195 dollars for the rental, how many days can he afford?

Answers

Answer:He can afford 4 days

Step-by-step explanation:

45 x 4 is 180$, plus the 15 for insurance equals 195

determine if the following is parallel perpendicular or neither. y=2/3x-5 and 2x-3y=12​

Answers

It is neither did we e

What is the area of the triangle?
(-6,3)
(-3,-5)
(-1,3)

Answers

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

I've been stuck on this for awhile​

Answers

Answer:

B) $3.56

Step-by-step explanation:

The price of one egg: $1.69

The price of a slice of bacon: $1.49

The price of a glass of orange juice: $1.09

Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.

(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =

($3.38) + ($1.49) + ($1.09) = $5.96

Next, add the total gotten with the sales tax.

Sales tax: $0.48

$5.96 + 0.48 = $6.44

Then, subtract the total from the $10 that she used to pay:

$10 - 6.44 = $3.56

B) $3.56 is your answer.

~

Answer:

3.56

Step-by-step explanation:

because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add  0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!

Answer and I will give you brainiliest

Answers

Answer: You can buy 5 shirts if you buy 2 pair of pants.

Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol

Answer:

Step-by-step explanation:

Why are you so mean to me

How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160.d. 40, 320.

Answers

Answer:

C. 20,160

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

Hence this can be done in 20,160 number of ways

Help me this is due last week help me,

Answers

Answer:

1 and 3 are irrational!!! The others are all rational

Step-by-step explanation:

1 and 3 are never terminating and they are not repeating, therefore, they are irrational! All the others are either terminal (they have a decimal that stops) or they are repeting and those repeting numbers can be written as a fraction, for example 0.2222... can be written as 2/9

Gemma and her cousin went to a restaurant for dinner. Gemma's dinner cost $5 more than her cousin's. If their combined bill was under $25 which inequality best describes the cost of their dinners?

Answers

Answer:

Bill of Gemma is x

Bill of her cousin is x+5

Combined bill is: 2x + 5 <25

=> x < 10

Bill of Gemma was under $10

Step-by-step explanation:

Other Questions
Mitochondria have highly folded inner membrane that increase the membranes surface area for atp production. What concept does this illustrate?1) a cell ability to maintain homeostasis is critical for life2) catalysts speed up chemIcal reactions in cells3) all livIng things are composed of cells4) a cells structure is related to its function The cost of one tire if a set of 4 tires cost to $322 The cost of each tire is about $... What was the origin of monotheism in Islam?A. Cultural influence on bedouinsB. Muhammads revelation C. The beliefs of people in Medina D. The compiliing of the Quran 15-105+5?What is the answer The distance from the cafeteria to gym is 0.112 kilometers, How many millimeters would it be? What political improvements did Rome contribute? Hafnium (Hf) has six naturally occurring isotopes: 0.16% of 174Hf, with an atomic weight of 173.940 amu; 5.26% of 176Hf, with an atomic weight of 175.941 amu; 18.60% of 177Hf, with an atomic weight of 176.943 amu; 27.28% of 178Hf, with an atomic weight of 177.944 amu; 13.62% of 179Hf, with an atomic weight of 178.946 amu; and 35.08% of 180Hf, with an atomic weight of 179.947 amu. Calculate the average atomic weight of Hf. Given an integer n and an array a of length n, your task is to apply the following mutation to a:Array a mutates into a new array b of length n.For each i from 0 to n - 1, b[i] = a[i - 1] + a[i] + a[i + 1].If some element in the sum a[i - 1] + a[i] + a[i + 1] does not exist, it should be set to 0. For example, b[0] should be equal to 0 + a[0] + a[1].ExampleFor n = 5 and a = [4, 0, 1, -2, 3], the output should be mutateTheArray(n, a) = [4, 5, -1, 2, 1].b[0] = 0 + a[0] + a[1] = 0 + 4 + 0 = 4b[1] = a[0] + a[1] + a[2] = 4 + 0 + 1 = 5b[2] = a[1] + a[2] + a[3] = 0 + 1 + (-2) = -1b[3] = a[2] + a[3] + a[4] = 1 + (-2) + 3 = 2b[4] = a[3] + a[4] + 0 = (-2) + 3 + 0 = 1So, the resulting array after the mutation will be [4, 5, -1, 2, 1]. How did man enter North America? Which defines a circle? Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers per minute? PLS HURRY IM RUNNING OUT OF TIMEEEEE Evaluate the following expression. 6^-1 3) 24 + 8x = 8(5x + 8) + 8x* Where does Bolsa get many of his stories? from aunt Rosa from Sancho from his uncle Roger The army of defeated all the city-states of Sumer and conquered northern Mesopotamia. (Sargon I/Kish) water is denser than oil. When frozen, the oil sinks to the bottom. Why? We invest $3500 in an account that pays simple interest of 4% each year. How much interest is earned after 10 years? "Genetic power is far more potent than atomic power. And it will be in everyone's hands. It will be in kits for backyard gardeners. Experiments for schoolchildren. Cheap labs for terrorists and dictators. And that will force everyone to ask the same questionWhat should I do with my power? which is the very questionscience cannot answer." Can someone draw a detailed bird for me right now? A rectangular garden has the dimensionsshown in the figure.7.48 meters15.6 metersWhat is the perimeter of the garden?A. 16.24 metersC. 46.16 metersB. 23.08 metersD. 116.688 metersNeed ASAP