Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.

Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

[tex]d=\frac{1}{3} (1+d+d2)[/tex]

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.


Related Questions

Please help I am super confused and would really appreciate it ♥️♥️♥️♥️

Answers

x---- independent variable

f(x)--- dependent variable(can also be "y")

The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.

Ok... Lemme explain

Say you have an equation

f(x)=2x+1

let x be take value from all natural Numbers (1,2,3..….)

When x is 1

f(x) = f(1) = 2(1)+1

=3

when x is 2

f(x)=f(2) = 2(2)+1 =5.

So for every x value... There's a unique value for f(x).

You dig?

Now

let's proceed to your question.

We're already given tbe values of x and f(x)

What we now need to find is the equation that corresponds to the values being gotten

From the table

When x =1 ...….f(x)=8

When x=2 .........f(x) = 32

When x=3 ...........f(x)=128

Etc

Which equation from the options will give you these values of f(x)???

You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).

Fun right?

OK. From Observation....

OPTION A WILL DO THE JOB.

f(x)=2.4^t where "t" represents x in this case.

Input your values of x in this

You'll get the exact f(x) value

Eg

when x= 1... f(x)= 2.4¹ =8

x=2 ...f(x) = 2. 4² = 2.16 = 32.

OPTION A IS OUR ANSWER.

HAVE A GREAT DAY BRO!

Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when music is played during an exam. She selects 10 of her friends to take an exam with the lights off and another 10 of her friends to take an exam with music playing.

Required:
What is problematic about the way that Elena selected her groups?

Answers

Answer:

Problematic is that - only one factor should be analysed at a time. However she has considered both.

Step-by-step explanation:

Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.

In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.

She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.

If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.

I don't know what the answer is.

Answers

Answer:

C.) 87

Step-by-step explanation:

if you look at it from the other side, its counting down from 91 from the left.

Answer: 87

No explanation :)

Express 75cm/s in m/s​

Answers

Step-by-step explanation:

75 cm/s

75/100 m/s

0.75 m/s

(SINCE 100 CM =1M-------75 CM=75/100M)

Please help me with this please

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The forces are equal and opposite, so the net force is zero.

  5N -5N = 0

An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number

Answers

Answer:

The mean of this sample is 203.

The variance of this sample is 3154.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

In this case:

[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]

Rounding to the nearest whole number, 203.

Variance:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]

Rounding to the nearest whole number, 3154.

The mean of this sample is 203.  The variance is 3154.

The variance of this sample is 3154.

Mean is given by,

[tex]M=\frac{192+113+200+287+225}{5}[/tex]

M=203.4

Sum of all values divided by the number of values.

In this case:

[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]

Rounding to the nearest whole number, 203.

What is the variance?

Some of the differences squared between each value and the mean are divided by the number of values. So

[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]

Rounding to the nearest whole number, 3154.

To learn more about the variance visit:

https://brainly.com/question/25639778

#SPJ5

What is 0.08 written as a percent?
8%
0.8%
0.08%
80%

Answers

8% since you need to multiply by 100 to reach convert it to a percentage

Plz help me well mark brainliest if correct!!..

Answers

Answer: A/The LINE graph

Step-by-step explanation:

What is the first term of a 14-term arithmetic sequence where the last term is −12 and the sum is 42?
A. 6
B. 7
C. 13
D. 18

please explain answer

Answers

Answer:  D) 18

=========================================

Work Shown:

Here are the variables we're working with

a = first termb = last term (aka nth term)n = number of termsS = sum of the first n terms

In this case, we know that

a = unknown (what we want to solve for)b = -12 n = 14S = 42

We can use this formula to help find the answer

S = (n/2)*(a+b)

This formula only works for arithmetic sequences

So,

S = (n/2)*(a+b)

42 = (14/2)*(a+(-12))

42 = 7(a-12)

42/7 = a-12

6 = a-12

6+12 = a

18 = a

a = 18 is the first term of this arithmetic sequence

That's why the answer is choice D.

-----------

Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.


Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52? ​

Answers

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

What is the degree of the polynomial below?
7x^5+6x^3+ 4x + 2
A. 0
B. 3
C. 1
D. 5

Answers

Answer:  D) 5

Reason: It's the largest exponent

When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on.  So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.

This is considered a quintic polynomial due to the degree of 5.

Prodigy
GCA Connect
C Clever | Portal
☆ Member Log
Find the Volume.
10 points
7 m
5 m
4 m

Answers

Answer:

140 m^3 = 7 x 4 x 5

Step-by-step explanation:

Volume = H * W * L

Mr. Reid​'s storage bin is 4 feet​ long, 3 feet​ wide, and 7 feet tall. Can he fit 81 boxes that each has a volume of 1 cubic foot in his bin​? Explain your answer

Answers

Answer:

Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Step-by-step explanation:

Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:

4 x 3 x 7 = X

12 x 7 = X

84 = X

84 - (81 x 1) = X

84 - 81 = X

3 = X

Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Can someone help me please

Answers

9514 1404 393

Answer:

  24.5 units

Step-by-step explanation:

The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.

The desired perimeter is ...

  P = CF +FX + XC

  P = (1/3)YF + (1/2)XZ +(2)CE

  P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10

  P = 24.5 . . . . units

The perimeter of ΔCFX is 24.5 units.

The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost

Answers

Answer Answer:

The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.

Step-by-step explanation:

Check answer

Rewrite the expression in the form

Answers

In Exponential form 2(X x 4x^-5/2)^1/2

I need help fast plz
You don’t need to show work

Answers

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.

what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent

Answers

Answer:

A = $1311 and 96cents

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]

HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant

Answers

a segment which goes through two points of a circle is a Radius

1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.​

Answers

Answer:

See below

Step-by-step explanation:

This is how I solved it.

Plotted the given points. See the attached.

Identified two pairs to connect, the two chords.

(5. 5) with (7, 1) and (6,4) with (-2, 4).

Determined the equation of both lines:

y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒  y - 5 = -2(x - 5)y = -2x + 15

and

y = 4 (horizontal line)

Identified perpendicular bisectors of those two chords, they both pass through the center of circle.

Midpoints of the chords:

[(5 + 7)/2, (5 + 1)/2] = (6, 3)

and

(6 - 2)/ 2 = 2

The equations:

y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)

Solving the system found the intersecting of those, the center.

Found the center:

(2, 1)

Found the distance from the center to one of the points (7, 1):

7 - 2 = 5, this is the radius

The equation of circle:

(x - 2)² + (y - 1)² = 25

Verified all the other points are on same circle, confirmed.

What is perimeter of 300 315 55

Answers

Just add so it will be 670

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]

Step-by-step explanation:

Given,

Gallon of juice drank in 5 weeks = 4

Therefore,

Gallon of juice drank in 1 week

[tex] = \frac{4}{5} (ans)[/tex]

Select the correct answer.
Which function is the inverse of function
f(x) = -2

Answers

Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

B ..................

SOMEONE HELP PLEASE!!!

Answers

Answer:

0=0  1=1   2=0  3=0  4=1   5=3   6=1   7=0   8=0   9=1   10=2   11=1   12=2   13=0   14=0   15=3   16=0

Step-by-step explanation:

There was no question so here above is the Dollars spent graph in numbers not dots!

Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55

Answers

Answer:

1/4; 0.4; 0.55; 3/5

0.25, 0.40, 0.55, 0.60

Already in order.

0.4; 1/4; 0.55; 3/5

0.40, 0.25, 0.55, 0.60

1/4; 0.4; 0.55; 3/5

1/4; 3/5; 0.4; 0.55

0.25, 0.60, 0.40, 0.55

1/4; 0.4; 0.55; 3/5

3/5; 0.4; 1/4; 0.55

0.60, 0.40, 0.25, 0.55

1/4; 0.4; 0.55; 3/5

What is the volume of the rectangular prism?

Answers

Answer:

54 in³

Step-by-step explanation:

9×3×2 = 54 in³

_______

Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?​

Answers

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

What is the measure <G?


(Explain how you got the answer if you could so I can understand.)​

Answers

Answer:

59°

Step-by-step explanation:

½×(175-57) = ½×118 = 59°

Help- No links please!!

Answers

Answer:

2 times length of AB

Step-by-step explanation:

Given

[tex]AB =50\%[/tex]

Required

Length of line with 100%

To get the length of line segment that is 100%, simply multiply AB by 2

i.e.

[tex]2 * AB =2 * 50\%[/tex]

[tex]2 AB =100\%[/tex]

Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm

3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).​

Answers

Answer:

See below

Step-by-step explanation:

Given:

Points (- 3,3) and (3,1) on a circler = 5

i.

There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.

ii.

Let the points are A and B and the centers of circles are F and G.

The midpoint of AB, the point C is:

C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)

The length of AB:

AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]

The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]

The distance FC or GC is:

FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]

Possible coordinates of center are (h, k).

We have radius:

(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25

Comparing the two we get:

(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²

Simplifying to get:

k = 3h + 2

We consider this in the distance FC or GC:

h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5

Then k is:

k = 3√1.5 + 2 ork = -3√1.5 + 2

So coordinates of centers:

(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)

-------------------------------------------------------------------------------------

b.

Diameters:

x - y - 4 = 02x + 3y + 7 = 0

The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:

x = 1, y = -3

The point (2, 4) on he circle given.

Find the radius which is the distance between center and the given point:

r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]

The equation of circle:

(x - 1)² + (y + 3)² = 50
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