An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO. An individual can be either susceptible (S) or infected (I), the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. Calculate the probability of a person going through the following string of states: SISI.

Answers

Answer 1

Answer:

a)  P (COO)  = 0,135

b) P ( SISI) = 0,00015

Step-by-step explanation:

a) the probability of an ion channel in open position is 50 %   0,5

   the probability of an ion channel in close position is 50 %   0,5

probability for the following sequence of states COO

to be closed   0,5    (C)

from (C) to pass to open  0,3  (O)

and to stay O  is 0,9

Then the probability of the sequence of states COO is

P (COO)  = 0,5 * 0,3 * 0,9  

P (COO)  = 0,135

b) If people are either infected or susceptible, then

Probability of an individual infected is  0,5

Probability of an individual susceptible  is 0,5

to pass from susceptible to infected is 0,05

to pass from infected to susceptible is 0,12

then

P ( SISI) = 0,5 * 0,05*0,12*0,05

P ( SISI) = 0,00015

probability for the following sequence of states COO


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I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

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Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes

Calculate the gradient of the line 2y =8x+4

Answers

Answer:

m=4

2y/2=y

8x/2=4x

4/2=2

so

y=4x+4

y= mx+c
y= 2/8x+4
y=4x+2

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Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

1: 1/100
2: 1/100
3: 100

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Answer:

I would love to help you but what am I helping with there is no question there other that "Help me plssssss"

Step-by-step explanation:

Solve the expression: x = 5, y = 8. x² - 3y =

Answers

Answer:

x^2-3y

5^2-3*8

25-24

1

Step-by-step explanation:

5/2x + 3 = 4/x x = -1 x = -4 x = 4

Answers

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]

[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]

5 + 6x = 8

5 - 5 + 6x = 8 - 5

6x = 3

[tex]\frac{6x}{6} =\frac{3}{6}[/tex]

x = 0.5

express 21/4 in the decimal form by long division method​

Answers

Answer:

5.25

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

1) complete the special right triangle
what is length of BD
what is length of BC

Answers

Answer:

[tex]BD = 4[/tex]

[tex]BC =4\sqrt 3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find BD and BC

Solving BD

Considering angle at D, we have:

[tex]\cos(D) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(60) = \frac{BD}{8}[/tex]

Solve for BD

[tex]BD = 8 * \cos(60)[/tex]

[tex]\cos(60) = 0.5[/tex] So:

[tex]BD = 8 * 0.5[/tex]

[tex]BD = 4[/tex]

To solve for BC, we make use of Pythagoras theorem

[tex]CD^2 = BC^2 + BD^2[/tex]

This gives

[tex]8^2 = BC^2 + 4^2[/tex]

[tex]64 = BC^2 + 16[/tex]

Collect like terms

[tex]BC^2 =64-16[/tex]

[tex]BC^2 =48[/tex]

Take square roots

[tex]BC =\sqrt{48[/tex]

Expand

[tex]BC =\sqrt{16*3[/tex]

Split

[tex]BC =\sqrt{16}*\sqrt 3[/tex]

[tex]BC =4\sqrt 3[/tex]

Help pls I’ll give extra points

Answers

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

A coffee vending machine fills 100 cups of coffee before it has to be refilled. On a Monday, the mean number of ounces filled in a cup of coffee was 7.5. The machine is known to have a standard deviation in filling volume of 0.25 ounces. Find a 99% confidence interval for the mean number of ounces dispensed by this machine.

Answers

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

I need help with this asap thank you

Answers

Answer:a

Step-by-step explanation:a

Answer for brainlest

Answers

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]

find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees​

Answers

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

PLEASE HELP IM BEING TIMED

Answers

Answer:

missing angle=36 degree

What does 7 x 1/3 equal to

Answers

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]

increase 21 kobo by 35%​

Answers

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

A cellphone tower casts a shadow 30 feet
long at the same time that a man 6 feet tall
cast a shadow of 2.4 feet. How tall is the
cellphone tower?

Answers

Answer:

75ft

Step-by-step explanation:

if the shadow of a 6ft = 2.4ft

then the shadow of x=(30/2.4)×6=75

A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?

○ $40

○ $120

○ $135​

Answers

answer:
$120

explanation:
160(0.75)=120

Solve for the value of x. Round to the nearest tenth.

Answers

the answer would be 19.3

If w = 7a + 4b, which of the following equations is solved for a?

Answers

Answer: a= w - 4b/ 7

Step-by-step explanation:

Identify the vertex by completing the square: f(x) = x2 - 6x +8

Answers

Answer:

(3,-1)

Step-by-step explanation:

f(x)=(x2 - 6x)+8

f(x) = (x2 - 6x +9) + 8 - 9

f(x) = (x2 - 6x + 9) - 1

f(x) = (x - 3)^2 - 1

Since the completing square formula = a(x - h) + k

The vertex = (h,k)

= (3,-1)

Match the base to the corresponding height.
Base (b)
Height (h)
b
b
h
b

Answers

Answer: See the diagram below

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

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

Find the sum and product of zeroes of the quadratic polynomial 3x² + 5x-2.​

Answers

Answer:

see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta

now , we will find value of a , b, c

so,

a= 3

b= 5

c= -2

now, sum of the zeros ( alpha + beta) =-b/a

so,-5/3

now product of zeros (alpha *beta) = c/a

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convert 0.5kg to ounces

Answers

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

My math assignment is due in 15 min pls help with this question

Answers

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Graph y = -2 – 6.
could someone graph this on a khan academy number line?

Answers

Answer:

plot ur x,y coordinates as (0,-8) (1,-8)

Which function is a translation of the parent absolute value function?
A: f(x) = 2/1
B. f(x) = |x+61
C. f(x) = x1
D. f(x) = -4/41

Answers

Answer:

B. f(x) = | x + 61 |

Step-by-step explanation:

An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.

The only option with this indication is option B.

B. f(x) = | x + 61 |

This equation can be solved in two ways;

first; f(x) = - (x + 61)

second; f(x) = x + 61

Can someone answer this?

Answers

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

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A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)

Answers

Answer:

The total amount of pollution discharged during the first 7 years of operation is 1.955 tons

Step-by-step explanation:

Given

[tex]r(t) = \frac{t}{t^2 + 1}[/tex]

Required

The total amount in the first 7 years

This implies that:

[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]

The total amount is calculated by integrating r(t) i.e.

[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]

So:

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

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

We have:

[tex]t^2 + 1[/tex]

Differentiate

[tex]d(t^2 + 1) = 2t[/tex]

Rewrite as:

[tex]2t = d(t^2 + 1)[/tex]

Solve for t

[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]

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

So:

Make t the subject

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

Integrate

[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]

Expand

[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]

[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]

[tex]v = \frac{1}{2}[3.91 - 0][/tex]

[tex]v = \frac{1}{2}[3.91][/tex]

[tex]v = 1.955[/tex]

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