A single strand of a DNA molecule is a sequence of nucleotides. There are four possible nucleotides in each position (step), one of which is cytosine (C). In a particular long strand, it has been observed that C appears in 34.1% of the positions. Also, in 36.8% of the cases where C appears in one position along the strand, it also appears in the next position.1. What is the probability that a randomly chosen pair of adjacent nucleotides is CC (that has cytosine in both locations).2. If a position along the strand is not C, then what is the probability that the next position is C?3. If a position n along the strand is C, what is the probability that position n + 2 is also C? How about position n + 4?4. Answer parts (a)- (c) if C appeared independently in any one position with probability 0.341.
Answers
Answer:
The probability of C appearing in two adjacent positions is the product of the probability of C appearing in the first position and the probability of C appearing in the second position given that C appeared in the first position:
P(CC) = P(C in first position) * P(C in second position | C in first position)
Using the given information, we know that P(C in first position) = 0.341 and P(C in second position | C in first position) = 0.368. Therefore:
P(CC) = 0.341 * 0.368 = 0.125488
So the probability of a randomly chosen pair of adjacent nucleotides being CC is approximately 0.125.
The probability that the next position is C given that the current position is not C is the conditional probability:
P(C in next position | not C in current position) = P(C in next position and not C in current position) / P(not C in current position)
The numerator is the probability of C in the next position and not C in the current position, which is equal to the probability of not C in the current position times the probability of C in the next position given that the current position is not C:
P(C in next position and not C in current position) = (1 - 0.341) * P(C in next position | not C in current position)
The denominator is the probability of not C in the current position, which is equal to 1 minus the probability of C in the current position:
P(not C in current position) = 1 - 0.341
Using the given information, we know that P(C in next position | not C in current position) = 0.159. Therefore:
P(C in next position | not C in current position) = [(1 - 0.341) * 0.159] / (1 - 0.341) = 0.159
So the probability that the next position is C given that the current position is not C is approximately 0.159.
If a position n along the strand is C, then the probability that position n + 2 is also C is:
P(C in n + 2 position | C in n position) = P(C in n + 2 position and C in n position) / P(C in n position)
The numerator is the probability of C in both position n and position n + 2, which is equal to the probability of C in position n times the probability of C in position n + 2 given that C appeared in position n:
P(C in n + 2 position and C in n position) = 0.341 * 0.368
The denominator is the probability of C in position n, which is equal to 0.341:
P(C in n position) = 0.341
Therefore:
P(C in n + 2 position | C in n position) = (0.341 * 0.368) / 0.341 = 0.368
So the probability that position n + 2 is also C given that position n is C is approximately 0.368.
Similarly, the probability that position n + 4 is also C given that position n is C is:
P(C in n + 4 position | C in n position) = P(C in n + 4 position and C in n position) / P(C in n position)
The numerator is the probability of C in both position n and position n + 4, which is equal to the probability of C in position n times the probability of not C in position n + 1 times the probability of not C in position n + 2 times the probability of C in position n + 3 times the probability of C in position n + 4 given that C appeared in position n + 3:
P(C in n + 4 position and C in n position) = 0.341 * 0.659 * 0.632 * 0.368
The denominator is still the probability of C in position n, which is equal to 0.341:
P(C in n position) = 0.341
Therefore:
P(C in n + 4 position | C in n position) = (0.341 * 0.659 * 0.632 * 0.368) / 0.341 = 0.158
So the probability that position n + 4 is also C given that position n is C is approximately 0.158.
If C appeared independently in any one position with probability 0.341, then the probabilities calculated in parts (a)-(c) would be different. In particular:
(a) The probability of C in two adjacent positions would be the product of the probability of C in each position, since the positions are independent:
P(CC) = 0.341 * 0.341 = 0.116281
So the probability of a randomly chosen pair of adjacent nucleotides being CC is approximately 0.116.
(b) The probability that the next position is C given that the current position is not C would be the same as the overall probability of C, since the positions are independent:
P(C in next position | not C in current position) = P(C) = 0.341
(c) The probability that position n + 2 is also C given that position n is C would be the same as the overall probability of C, since the positions are independent:
P(C in n + 2 position | C in n position) = P(C) = 0.341
Similarly, the probability that position n + 4 is also C given that position n is C would also be the same as the overall probability of C:
P(C in n + 4 position | C in n position) = P(C) = 0.341
Related Questions
the horizontal, continuous lintel on a classical building supported by columns is called a stylobate. T/F
Answers
The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.
The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.
In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.
The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.
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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
Answers
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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please help 20 points
Answers
30–5(4)
30-20
=10
PLEASE HRY ILL MARK BRAINLIEST
give the equation of the line passing through the points (-2,-5)
and (1,-1/2)
Answers
I need help with this question....
Solve the variable for 2e=6.8
Answers
Answer:
e=3.4
Step-by-step explanation:
Your equation is 2e=6.8
All you have to do is divide both sides by 2 and get that:
e=3.4
The solution for 2e=6.8 is 3.4
What is equation?Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given equation is: 2e=6.8
Divide both by 2, to make the coefficient of e 1.
2e/2=6.8/2
e=3.4
Hence, the solution of the equation is 3.4.
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Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added
Answers
Complete question :
Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.
1. Standard deviation 11) Median 111) Mean
Answer:
Standard deviation - increased
Median - cannot be determined
Mean - decrease
Step-by-step explanation:
The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.
The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
Michael to 12 tests in his math class.
His lowest test score was 78.
His highest test score was 98.
On the 13th Test, he earns a 64.
Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.
The standard deviation will increase because the gap between the mean and 64 will increase.
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
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-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
Answers
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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in triangle abc the measure of angle a is 3x+5 the measure of angle b is 4x-2 and the measure of angle c is 2x+6 what are the measures of the angle
Answers
Answer:
a=62
b=74
c=44
Step-by-step explanation:
☆interior angles of triangle =180
a+b+c=180
3x+5+4x-2+2x+6
like terms
3x+4x+2x+5+6-2
9x+9=180
9x=180-9
9x=171
x=19
a=3 (19)+5=62
b=4 (19)-2=74
c=2(19)+6=44
If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, will she also need to file a tax return?
Answers
If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, then she do not need to file a tax return because her total income is below the filing threshold.
Whether Jenny needs to file a tax return or not depends on her total income and the types of income she received.
If Jenny had the same income of $7,000 last year as Susan and is single with no dependents,
She will not be required to file a federal tax return for the 2022 tax year as long as her total income is below the filing threshold because for tax year 2022, the filing threshold for single taxpayers under the age of 65 is $12,950.
Therefore , Jenny do not need to file a tax return .
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A triangular prism is 40 yards long and has a triangular face with a base of 32 yards and a height of 30 yards. The other two sides of the triangle are each 34 yards. What is the surface area of the triangular prism?
Answers
The surface area of the triangular prism is 4800 square yard.
How to find the surface area of the triangular prism?The surface area of a triangular prism is sum of the areas of the faces that make the prism.
The surface area of a triangular prism is given by:
SA = (a + b + c)L + bc
Where a and b are the bases of the rectangular faces, c is the height of the triangle and h is the total length of the prism
In this case:
L = 40, a = 34, b = 32 and c = 30
SA = (34 + 32 + 30)40 + (32 * 30)
SA = 3840 + 960
SA = 4800 square yard
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Find the missing values in the ratio table. Then select the equivalent ratios.
Answers
Answer:
Dogs = 2Cats = 80
Step-by-step explanation:
d = dogs
c = cats
10 : 4 = 5 : d
d = 4 * 5 : 10
d = 2
5 : 2 = c : 32
c = 5 * 32 : 2
c = 80
4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!
Answers
Answer: 12
Step-by-step explanation:
I need help take all my points I really need help .
Answers
Answer:
1. Median
2. 4.5
Step-by-step explanation:
There are 10 numbers so the median is 4 and 5 which makes the median 4.5.
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
1. Median
2. 4.5
Step-by-step explanation:
There are 10 numbers so the median is 4 and 5 which makes the median 4.5.
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
What is the solution to 3x+2=x+8
Answers
Find x
Help me please
Answers
Answer:
19
Step-by-step explanation:
what number could make this equations have no value of x. 3x+8 = 3x + ?
Answers
Answer:
All values of x :- 3x + 8 = 3x + 8 has Infinite solutions .Just one value of X :- 3x + 8 = 3x + x is equal to 3x + 8 = 4x , which has one solution at x= 8 .Step-by-step explanation:
I hope this helps you !!this is because the slope is the slopes are the same in both equations so they will cancel each other.
$9,400 at 5.6% for 9 months
Answers
Answer:
$15349.81
Step-by-step explanation:
the equation would be 9400(1+5.6%)^9. Simplify it to the nearest hundredth
Select the correct description for the expression 8(x + 4).A. The quotient of a difference and a numberB. The product of a number and a sumC. The product of a number and a differenceD. The quotient of a sum and a number
Answers
The expression 8(x+4) is a product between 8 and (x+4), which is a number (8) and a sum.
Then, it correspond to Option B: The product of a number and a sum.
Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
Answers
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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Item 6
To make muffins, you need about 4 cups of flour per dozen. How many cups of flour will you need to make 5 dozen muffins?
Answers
Answer:
answer is 20
Step-by-step explanation:
do the math five times four equals 20
what if there were three colors of marbles in the bag, how many would you have to pull out to get two marbles of the same color? three? four? generalize by finding a formula for predicting the number of marbles you would have to pull out to get the same color of any amount you desire. repeat for four colors in the bag. please note that this is still not a probability problem.
Answers
For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
The number of marbles you would have to pull out to get two marbles of the same colour, when there are three colors in the bag, let's consider each case individually:
Case 1: Three colors in the bag
To guarantee two marbles of the same color, you would need to pull out four marbles. This is because the worst-case scenario would be pulling out one marble of each color first, and then the fourth marble would be guaranteed to match one of the previously pulled marbles.
General formula: For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
Case 2: Four colors in the bag
To guarantee two marbles of the same color, you would need to pull out five marbles. Following the same reasoning as before, pulling out four marbles could result in one of each color, and the fifth marble would guarantee a matching pair.
General formula: For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
Remember, this analysis assumes that all marbles are equally likely to be chosen and does not involve probability calculations.
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Use the diagram to the right to answer the
following questions.
a. Using parallel line relationships, find the value of
x. Use the relationship between the two marked
angles to set up your equation.
Show your work to support your answer. (
Answers
Answer:
a=14
b=166
c=166
d=166
e=166
f=14
x=5
A triangle is inscribed in a rectangle if each vertex of the triangle lies on a side of or at a vertex of the rectangle. This diagram shows shaded triangle ACE inscribed in rectangle ABDE. Find the number of square units in the area of shaded triangle ACE, if the area of the rectangle is 13.5 square units. NEED QUICKLY
Answers
Answer:
6.75
Step-by-step explanation:
So basicly we know the area of the rectangle which really helpful.
So lets take the formula of the are for the triangle, which is b*h*1/2
So we know that the height and bass of the triangle is the same as the rectangle's legnth and width.
Meaning that we can replace b*h with 13.5.
So plug that into the quation.
13.5*1/h= Area of ACE
6.75= Area of ACE
hence, 6.75 is your answer
The area of the triangle ACE is; 6.75 square units.
According to the question; a triangle is inscribed in a rectangle with each vertex of the triangle lieing on a side of or at a vertex of the rectangle.
From the statement above, it is evident that the triangle in question covers half the area occupied by the rectangle.In essence, to find the number of square units in the area of shaded triangle ACE,
We have to divide the area of the rectangle by 2.
Therefore, the area of the triangle ACE is;
6.75 square units.
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PLEASE HELP
question 5,
The average starting salary for a lawyer is $79,590 but can vary by as much as $4,236. Which inequality could be used to determine the average salary range, if x represents the starting salary?
|x − 4,236| ≥ 79,590
|x − 4,236| ≤ 79,590
|x − 79,590| ≥ 4,236
|x − 79,590| ≤ 4,236
Answers
The other inequalities given in the question do not accurately represent the average salary range, because they do not take into account the fact that the salary can vary both above and below the average.
For example, the inequality |x - 4,236| ≥ 79,590 states that the starting salary must be at least $79,590 more than the average starting salary. This does not accurately represent the salary range, because the starting salary can be both above and below the average.
I hope this helps.
f(-4); f(x) = x2 + x - 4
Answers
Answer: 8
Step-by-step explanation: In this problem,
we're asked to find f(-4) or the value of the function when x = -4.
To find the value of the function when x = -4,we simply plug in a -4 for
the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.
So f(-4) = 8.
la edad de juan y su hijo suman 60 años ,si la edad de juan se disminuyera en 15 años el tendria el doble de la edad del hijo ,la edad de juan es?
Answers
Answer:
serie de 20 años ya que primero te pide 60 años que se suman y después dice que la edad del hijo es el doble entonces lo normal sería que el hijo tenga 20
Azucena y Juan Carlos se conocieron en un viaje de trabajo en México un 15 de noviembre de 2020; si azucena viaja cada 15 días y Juan Carlos 18, ¿dentro de cuántos días como mínimo volverán a coincidir?
Answers
The minimum number of days it will take for Azucena and Juan Carlos to coincide again is 90 days.
To determine the minimum number of days it will take for Azucena and Juan Carlos to coincide again, we need to find the least common multiple (LCM) of their travel intervals.
Azucena travels every 15 days, and Juan Carlos travels every 18 days.
To find the LCM, we can list the multiples of each interval and find the smallest common multiple:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, ...
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, ...
From the lists above, we can see that the first common multiple is 90. Therefore, Azucena and Juan Carlos will coincide after 90 days.
So, the minimum number of days it will take for Azucena and Juan Carlos to coincide again is 90 days.
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What are the coordinates of point S?
Answers
Answer:
I think you forgot to attach the notes/picture
Four less than the product of one and a number x
.
Answers
Answer:
x-4
Step-by-step explanation:
The product of one and a number x is 1x which is basically x.
Four less than x is x-4.
Which statement best describes a characteristic of money market accounts?
A. Money market accounts have a predetermined time limit before a withdrawal can be made.
B. Money market accounts allow for more withdrawals than regular savings accounts but with higher interest rates.
C. Money market accounts have higher interest rates than regular savings accounts but with more restrictions.
D. Money market accounts have no withdrawal minimums.
Answers
Answer:
Correct answer is C- Money market accounts have higher interest rates than regular savings accounts but with more restrictions
Step-by-step explanation:
took the quiz