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


Related Questions

please help asap!!!!

Answers

Answer:

Hello! answer: 585

Step-by-step explanation:

This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...

15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!

During a school event Mario is selling pizza at a stand for $ 2.50 per slice. How many slices of pizza would Mario have to sell to earn $195? Explain your reasoning.

Answers

Answer:

78 slices

Step-by-step explanation:

195/2.5=78

Answer:

78

Step-by-step explanation:

195/2.5=78

he will need to sell 78 pizzas in order to get $195

Which phrase best describes this polygon?




convex hexagon


concave dodecagon


convex dodecagon


concave hexagon

Answers

The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The figure of hexagon is shown.

Since, We know that;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards is called ''Convex Hexagon''.

Here, By graph of figure;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards.

Hence, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

Thus, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Carlos is making a model pyramid for a history project. A net of his pyramid is
shown. What is the lateral surface area of the pyramid?

Answers

9514 1404 393

Answer:

  60 cm²

Step-by-step explanation:

The lateral surface area is the area of the four blue triangles. Each one has an area of ...

  A = 1/2bh

  A = 1/2(6 cm)(5 cm) = 15 cm²

The lateral surface area is 4 times the area of one triangle, so is ...

  LA = 4(15 cm²) = 60 cm²

Select the correct difference.
-3z^7- (-5z^7)

Answers

2z^7 the first choice
the first choice will the correct answer

jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction​

Answers

Answer:

2+4+5 = 11. since there are 5 green marbles the answer is 5/11

a water tank is filled with 10 gallons of water in 2 minutes. what is the volume of the water, in gallons, that is in the tank in 1 minute?

Answers

Answer:

5 gallons of water in 1 minute

Park View Apartments has 2 buildings Each building has 3 floors Each floor has
16 windows What is the total number of windows in the Park View Apartment
buildings?

Answers

Answer:

96

Step-by-step explanation:

Solve
8 (d+2) – 36 = 2 + 6(1 – d)

Answers

Answer:

d=2

Step-by-step explanation:

8(d+2)-36=2+6(1-d)

Expand the equation

8d+16-36=2+6-6d

Put like terms together

8d+6d = 2+6-16+36

14d= 28

Divide 14 on both sides to get the value of d

[tex] \frac{14d}{14} = \frac{28}{14} [/tex]

d=2

i have a lot of work but anyone know the answer to this one pls

Answers

Answer:

0.24

Step-by-step explanation:

Convert [tex]\frac{6}{25}[/tex] into decimal

which will give 0.24

Every 10th student was chosen from the cafeteria line to answer a question about pets. This is an example of:
A)Simple Random Sample
b)Convenience Sample
C)Systematic Random Sample
D)Voluntary Response Sample

Answers

Answer:

C)Systematic Random Sample

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this case:

Every kth element(in this exercise 10th) is systematic sample. So the answer is given by option c.

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44 Click here for the Excel Data File (a) Find the mean, midrange, geometric mean, and 24 percent trimmed mean. (Round your answers to 2 decimal places.)

Answers

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

Find the value of x in the figure.

A. 18
B. 33
C. 35
D. 41

Answers

Answer:

D 41

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180 degrees.

so, we have already 35 for one angle, that leaves 145 for the other two.

x + 2 + 2x + 20 = 145

3x + 22 = 145

3x = 123

x = 41

A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function represents y, the teenager’s pay when he mows a lawn that is x square feet in size?

y = 10x + 600
y = 10x + 12
y = 1/60x + 12
y = 1/60x + 1/60

Answers

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

okay so a circle has half a line of 11 in. , what's the circumference and area?? i'm not good at math and so confused

Answers

Answer:

C = 69.12 in.

A = 380.13 in.²

Step-by-step explanation:

Circumference of a circle is the length around the circle.

Circumference, C = 2πr

where,

Radius (r) = 11 in. (Given)

To find the circumference, substitute r = 11 into the circumference formula

C = 2*π*11

Input this into your calculator, you would get:

C = 69.1150384

C = 69.12 in. (Approximated to nearest hundredth)

Area = πr²

Plug in the value of r

A = π*11²

A = 380.132711

A = 380.13 in.² (to nearest hundredth)

Find the Z-scores that separate the middle 22% of the distribution from the area in the tails of the standard normal distribution.
The Z scores are _____?
Find the value of z a The value of α = 0.27
The value of z 0.27 is _____
Find the Z-score such that the area under the standard normal curve to the left is 0.33
_____ is the z - score such that the area under the curve to the left is 0.33.

Answers

Answer:

0.279

0.613

-0.44

Step-by-step explanation:

The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.

To obtain the Zscore that seperates the middle 22% is equivalent to :

The probability to the left of the distribution :

P(x < (0.5 + 0.22/2) = p(x < 0.61)

Using the Z probability calculator :

P(x < 0.61) is equivalent to a Zscore of 0.279

α = 0.27

Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613

P(x < 0.33) = - 0.44 (Z probability calculator)

math Question Help to solve Multiple Choice

Answers

Answer:

B. 49

Step-by-step explanation:

f(7) = 7² = 49

_______

Find an equation for the perpendicular bisector of the line segment whose endpoints
(5, -3) and (-7, -7).
are

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3, etc.)

1) Determine the midpoint of the line segment

When two lines bisect each other, they intersect at the middle of each line, or the midpoint.

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Plug in the endpoints (5, -3) and (-7, -7)

[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]

Therefore, the midpoint of the line segment is (-1,-5).

2) Determine the slope of the line segment

Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the endpoints (5, -3) and (-7, -7)

[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]

Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

3) Determine the y-intercept of the perpendicular bisector (b)

[tex]y=-3x+b[/tex]

Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:

[tex]-5=-3(-1)+b\\-5=3+b[/tex]

Subtract 3 from both sides

[tex]-5-3=3+b-3\\-8=b[/tex]

Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x-8[/tex]

I hope this helps!

ten more than x times 6 is 11 more than y times 4

Answers

I’m supposing you are writing an equation for this. The equation could be written as 6x+10=4y+11.

Answer:

6x+10 = 4y+11

Step-by-step explanation:

6x+10 = 4y+11

The slope intercept form is:

y = 3/2x-1/4

PLS ANSWER ASAP!!person with correct answer will be marked brainliest

Answers

the answer is 114 because angle 1 and 2 are the same measure because they are parallel lines which creates equal angles

Answer:

114

Step-by-step explanation:

angle one is vertical opposite angle and also angle on a straight line

Solving the following system using any method.

−3x+y=5

−2y=−6x+10

Answers

Answer:

No solution

Step-by-step explanation:

see the steps below:)

Please Only jack2k can answer

Answers

Answer:

Larger number is 7, and the smaller number is 3. This is because 7 + 3 = 10, and 7 - 3 = 4.

Step-by-step explanation:

Prodigy perhaps???

GUYS HELP PLS

You have 100ml of a solution that has a strength of 10mg/50ml.

This is diluted with a further 100ml of water.

How strong is the solution now per 50ml?

Answers

2x strong. I’m not to sure. I’ve done this but I forgot I’m sorry :(

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96

Answers

Answer:

z₁(s)  = - 1.53

Step-by-step explanation:

a)  Value of  z   or   z₁(s)   area to the right is .9370

 1  -  0.9370  =  0.063

Then if area to the left is   0.063     z₁(s)  = - 1.53

What times 4 gives me 1/5

Answers

Answer:

0.05

Step-by-step explanation:

Because 1/5 divided by 4 gives you 0.05 or 1/20

0.05 times four will give you 1/5

A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are:

Answers

Answer:

The null hypothesis is [tex]H_0: \mu = 16.1[/tex].

The alternate hypothesis is [tex]H_1: \mu < 16.1[/tex]

Step-by-step explanation:

A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces.

This means that at the null hypothesis, we test if the mean amount of juice is of 16.1, as claimed, that is:

[tex]H_0: \mu = 16.1[/tex]

A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.

This means that at the alternate hypothesis, we test if the mean amount of juice is less than the claimed mean of 16.1 ounces. So:

[tex]H_1: \mu < 16.1[/tex]

PLEASEEEEE HELPPPPP IM BEGGINGGGG. SOMEONE PLEASEEEEEEE​

Answers

9514 1404 393

Answer:

  3.  (x, y) = (-1, -2)

  4.  (x, y) = (-8, 6)

Step-by-step explanation:

The equations are graphed in the attachments.

3. The equations of problem 3 are easily graphed using the slope and intercept. The second equation is ...

  y = 2x

when solved for y.

__

4. The equations of problem 4 may be more easily graphed using the x- and y-intercepts. These are found by dividing the constant by the coefficients of x and y, respectively. Once the intercepts are plotted, a line can be drawn through them to make the graph of the equation.

what are prime factors i cant understand​

Answers

Prime Factor. A factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original number. Example: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers).

Please help and if you can explain it please

Answers

Answer:

1) 1/3   2a)2/5  2b)1/2  2c)9/20

Step-by-step explanation:

1) A fair die has 6 sides (1,2,3,4,5,6) so there are 2 sides that are greater than 4. Probability is chance of occurance/total chances so 2/6 which simplifies to 1/3

2) The set is (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19, 20) The prime numbers in that set are (2,3,5,7,11,13,17,19)

a)So the probability that a prime number is picked is 8/20 which simplifies to 2/5

b) The odd numbers are (1,3,5,7,9,11,13,15,17,19) so probability of odd is 10/20 which simplifies to 1/2

c) The single digit numbers are (1,2,3,4,5,6,7,8,9) so the probability is 9/20

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answers

Answer:

Step-by-step explanation:

cosine W=9/41

Answer:

cos W = [tex]\frac{9}{41}[/tex]

Step-by-step explanation:

cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]

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