The probability of odd or less than 6 is 0.75 which is 75%
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
From the question, there are 4 numbers
These include: 5,6,7,8
Pr(odd) 2/4
Pr(x<6) 1/4
Adding the fractions we have
1/2 + 1/4 = 3/4 = 0.75
Converted to percentage = 75%
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which of the following statements would be appropriate for the introduction section of a research report? group of answer choices past research shows that men generally talk more than women. for men, the average talking time was 10.7 minutes, while for women the average was 7.4 minutes. contrary to popular belief, in groups of mixed gender, men talk more than women, interrupt more than women, and are more likely to direct discussion topics. while the three men and three women discussed the issue, the experimenter measured time spent talking by starting and stopping stopwatches.
Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.
The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.
The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including the precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.
The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.
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Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.
The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.
The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.
The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.
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-13 -9 -12 -16 20 10 put them in least to greatest
Answer:
-16, -13, -12, -9, 10, 20
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
-16, -13, -12, -9, 10, 20
Step-by-step explanation:
This truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, what is mE?
IfIf this truss bridge shows two triangles ABC and DEF with ABC=DEF if mB=60 degrees, mE is 60 °.
How to find angle mE.ΔABC = ΔDEF
M∠E = M∠B
M∠B =60°
By equation 1 and 2
M∠B =60°
Since triangle ABC is congruent to triangle DEF, the corresponding angles are equal
so,
mB = mE
Hence, mE = 60 degrees
Therefore mE is 60 degree.
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If the dot indicates the center of the circle, which equation must be true?
If the dot indicates the center of the circle, the equation that must be true is (c) A + B = 180
How to determine the true equationFrom the question, we have the following parameters that can be used in our computation:
The circle
The angle in a semi-circle is 90 degrees
This means that
A = 90 and B = 90
When these angles are added, we have
A + B = 90 + 90
Evaluate
A + B = 180
Hence, the equation is (c) A + B = 180
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A car is travelling at a speed at 66km/h find its speed in m/s
Answer:
18.33 m/s
Step-by-step explanation:
Convert units.
1 km = 1000 m
1 h = 3600 s
66 km/h × (1000 m)/(1 h) × (1 h)/(3600 s) = 18.33 m/s
Enter your math expression. x2 − 2x + 1 = 3x − 5.
x² − 2x + 1 = 3x − 5, its x value = 3, 2. This can be solved by factorization.
What is an expression?A word may consist of a number, a variable, the product of two or more variables, or the combination of a number and a variable. Both a single term and a collection of terms can be used to create an algebraic expression. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and one or more mathematical terms. Educate yourself about expressive writing. Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.
x² − 2x + 1 = 3x − 5
or, x² - 2x - 3x + 1 + 5 = 0
or, x² - 5x + 6 = 0
or, x² -3x - 2x + 6 = 0
or, x (x - 3) - 2 (x - 3) = 0
or, (x - 3) (x - 2) = 0
or, x = 3, 2
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1- If P(A) = 0.5, P(B) = 0.6, and P(ANB) = 0.4, find (a) P(AUB), (b) P(AB'), and (c) P(A'U B').
For the probability values - P(A) = 0.5, P(B) = 0.6, and P(A∩B) = 0.4, the values are -
a) P(A∪B) = 0.7
b) P(A∩B') = 0.2
c) P(A'∪B') = 0.6
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
The given probability values are -
P(A) = 0.5
P(B) = 0.6
P(A∩B) = 0.4
a) The formula for finding P(A∪B) is -
P(A∪B) = P(A) + P(B) - P(A∩B)
Substitute the values into the equation -
P(A∪B) = 0.5 + 0.6 - 0.4
P(A∪B) = 0.11 - 0.4
P(A∪B) = 0.7
b) To find P(A∩B') use the formula -
P(A∩B') = P(B) - P(A∩B)
Substitute the values into the equation -
P(A∩B') = 0.6 - 0.4
P(A∩B') = 0.2
c) To find P(A'∪B') first find P(A'), P(B') and P(A'∩B').
P(A') = 1 - P(A)
Substitute the value -
P(A') = 1 - 0.5
P(A') = 0.5
Now, find P(B') -
P(B') = 1 - P(B)
Substitute the value -
P(B') = 1 - 0.6
P(B') = 0.4
Now, find P(A'∩B')
P(A'∩B') = 1 - P(A∩B)
Substitute the value -
P(A'∩B') = 1 - 0.7
P(A'∩B') = 0.3
The formula for finding P(A'∪B') is -
P(A'∪B') = P(A') + P(B') - P(A'∩B')
Substitute the values into the equation -
P(A'∪B') = 0.5 + 0.4 - 0.3
P(A'∪B') = 0.9 - 0.3
P(A'∪B') = 0.6
Therefore, the values are P(A∪B) = 0.7, P(A∩B') = 0.2 and P(A'∪B') = 0.6.
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If P(A) = 0.5, P(B) = 0.6, and P(A∩B) = 0.4, find (a) P(AUB), (b) P(A∩B'), and (c) P(A'U B').
find the matrix a of t for the following transformation. is a reflection in the line y=-x
Matrix for reflection in line y=-x is [0 -1; -1 0].
What is matrix ?
A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
A reflection in the line y = -x can be represented as a linear transformation in 2D space. A linear transformation can be represented using a 2x2 matrix.
The matrix for the reflection in the line y = -x is given by:
a = [0 -1; -1 0]
This matrix represents a reflection about the line y = -x in the 2D plane. The first column of the matrix represents the image of the unit vector (1, 0) and the second column represents the image of the unit vector (0, 1).
The reflection is performed by multiplying the matrix a with the vector (x, y) representing the point in the 2D plane. The result is the reflection of the point across the line y = -x.
Matrix for reflection in line y=-x is [0 -1; -1 0].
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(4)I'm stuck pls help me with my algebra work show all ur steps
y=4x+9
y=x+30
Value of x is 7 and value of y is 37 for the equations y=4x+9
y=x+30
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are y=4x+9 and y=x+30
Let us subtract both the equations
y-y=4x+9-x-30
0=3x-21
Add 21 on both sides
21=3x
Divide both sides by 3
x=7
Now let us plug in value of x in any of the equation to get y.
y=4(7)+9
=28+9
y=37
Hence, value of x is 7 and value of y is 37 for the equations y=4x+9
y=x+30
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Theo filled up a 3-liter watering can to water the garden. He has 750 milliliters of water left in the can. How much milliliters of water did theo use?
Theo used 2250 milliliters of water to water the garden.
Theo filled a watering can with 3 liters of water to water the garden. After using some of the water, he has 750 milliliters left in the can.
The amount of water used by Theo can be calculated by subtracting the remaining water from the total amount of water filled in the watering can.
For this, we first need to equate the unit of water present in the can initially with the amount of water left in the can.
We know, 1 liter = 1000 milliliters
Therefore, 3 liters = 3000 milliliters
This means that he used a total of 3000 milliliters - 750 milliliters = 2250 milliliters of water to water the garden.
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How do you redefine a removable discontinuity to make it continuous?
Although certain functions have discontinuities, it is feasible to redefine the function so that it becomes continuous at that point.
A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous.
We only need to change the function's value at this point to make f(x) continuous at x=0. To satisfy the concept of continuous functions and resolve the example issue, make the necessary adjustment to make the one-sided limits equal. We therefore set f(0)=4 f(0) = 4
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A photograph is 14 centimeters by 21 centimeters. A frame shop charges $1.00 per centimeter for a silver frame. How much would it cost to buy a silver frame for the photograph?
Answer:
$70.00
Step-by-step explanation:
Please find the attachment for detail
the number of flaws per square yard in a type of carpet material varies with mean 1.6 flaws per square yard and standard deviation 1.2 flaws per square yard. calculate the probability of the second event in randomly selecting 50 square yards of material and finding an average of 2 or more flaws
The probability of the second event is close to 1.
We can use the Central Limit Theorem to calculate the probability. According to the Central Limit Theorem, the distribution of the mean of a large number of independent random variables will be approximately normal, with mean equal to the mean of the individual variables and standard deviation equal to the standard deviation of the individual variables divided by the square root of the sample size.
In this case, the mean of 50 square yards is 50 * 1.6 = 80 flaws. The standard deviation of the mean is 1.2/sqrt(50) = 0.24.
So, we want to find the probability that the mean of 50 square yards is 2 or more, which is equivalent to finding the probability that a standard normal random variable is greater than or equal to (2 - 80)/0.24 = -333.33.
We can use a standard normal table to find this probability. The probability of a standard normal random variable being less than or equal to -333.33 is close to 0, so the probability of being greater than or equal to -333.33 is close to 1.
Therefore, the probability of the second event is close to 1.
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The probability of the second event is close to 1.
We can use the Central Limit Theorem to calculate the probability. According to the Central Limit Theorem, the distribution of the mean of a large number of independent random variables will be approximately normal, with mean equal to the mean of the individual variables and standard deviation equal to the standard deviation of the individual variables divided by the square root of the sample size.
In this case, the mean of 50 square yards is 50 * 1.6 = 80 flaws. The standard deviation of the mean is 1.2/sqrt(50) = 0.24.
So, we want to find the probability that the mean of 50 square yards is 2 or more, which is equivalent to finding the probability that a standard normal random variable is greater than or equal to (2 - 80)/0.24 = -333.33.
We can use a standard normal table to find this probability. The probability of a standard normal random variable being less than or equal to -333.33 is close to 0, so the probability of being greater than or equal to -333.33 is close to 1.
Therefore, the probability of the second event is close to 1.
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3. Zakele needs to draw up a budget of his monthly expenses. He earns R6 500 per month. His bills in one month are: Rent R1 650, Electricity R300, Car payment R1 200, Insurance R750, Petrol R400, Account repayments R500 and Groceries R1 200. Given his current expenses, how much money is available for saving?
R500 is available for Savings.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Zekele earns = R 6500
His bills in one month are:
Rent R1 650,
Electricity R300,
Car payment R1 200,
Insurance R750,
Petrol R400,
Account repayments R500
and Groceries R1 200.
So, after spending on expenses he would save
= 6500 - ( 1650 + 300+ 1200+ 750 +400+ 500+ 1200)
= 6500- 6000
= R 500
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Question 11.
Solve for x.
Answer:
isn't it 90? it has the box next to it
Clarissa made 5 identical sundaes using 4 pints of ice cream. How much ice cream did Clarissa use for each sundae?
The number of pints of ice cream used for each sundae is 0.8 pints.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
4 pints of icecream = 5 sundaes
Divide both sides by 5.
4/5 pints of icecream = 1 sundaes
0.8 pints of icecream = 1 sundaes
Thus,
0.8 pints of ice cream is used for each sundae.
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The equation y=10.5x estimates the amount that businesses will spend, in billions of dollars, on a certain business technology, where x is the number of years after 2004. For what years will the spending be more than $34 billion?
Answer:
2007 and beyond.
Step-by-step explanation:
y = 34 ==> y doesn't equal 34 billion as y is already measured in billions
Since y=10.5x:
34 = 10.5x ==> solve for x
x = 34 / 10.5 ==> divide both sides by 10.5
x = 3.2 ==> x is approximately 3.2 years
2004 + 3.2 = 2007.2
2007.2 rounded to the nearest year is 2007
Hence, businesses will spend more than $34 billion in the year 2007 and beyond.
Can you guys pls help?
Answer:
Step-by-step explanation:
Please help me - 15 points
The percentage of battery remaining, y, on a tablet's battery after x hours can be represented by the given graph.
coordinate grid with the x axis labeled time in hours and the y axis labeled percent of battery remaining, with a line that passes through the points 0 comma 80 and 8 comma 0
What is the meaning of the y-intercept in the context of the problem?
The tablet will not have any battery remaining after 8 hours.
The tablet loses 8 percent of battery every hour.
After 80 hours, the tablet will have 0 percent of battery left.
The tablet starts with 80 percent of battery remaining.
The y-intercept in the context of the problem means that the tablet starts with 80 percent of the battery remaining.
Option D is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates from the graph are:
(0, 80) and (8, 0).
Now,
(0, 80) is the y-intercept.
It means that at 0 hours, the percentage of battery is 80%.
Now,
(8, 0) is the x-intercept.
It means that after 8 hours, the percentage of battery is 0.
Thus,
The y-intercept means,
The tablet starts with 80 percent of the battery remaining.
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given the balanced equation 2pbo (s) o2 (g) ⇌ 2pbo2 (s), calculate the value of δngas.
This equation is balanced, meaning that there is an equal number of atoms on both sides of the equation.
Since there are no gases on either side of the equation, the value of δngas (the change in the number of moles of gas) is 0.
The balanced equation 2pbo (s) o2 (g) ⇌ 2pbo2 (s) states that two moles of lead (II) borate (s) react with one mole of oxygen gas (g) to form two moles of lead (II) borate (s). Since the reaction does not involve any gases, the value of δngas (the change in the number of moles of gas) is 0.
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how many milligrams (mg) is this in 171 kg.
The conversion of the weight 171 kg to milligrams is 171000000 milligrams.
How to convert from one units to another?The question want us to convert the weight from kilograms to milligrams. The actual weight of the substance is 171 kilograms.
Therefore, the conversion to milligrams can be calculated as follows:
1 kilograms = 1000000 milligrams
171 kilograms = ?
cross multiply
weight in milligrams = 1000000 × 171
weight in milligrams = 171000000 milligrams
Therefore, the weight is 171000000 milligrams.
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Suppose ∠A and ∠B have the same measurement. Which statements are expressed correctly?
I. ∠A = ∠B
II. m∠A = m∠B
III. m∠A ≅ m∠B
IV. ∠A ≅ ∠B
a) II, III, and IV only
b) II and IV only
c) I, II, and IV only
d) I and IV only
e) II and III only
f) None of the above
If angle A and angle B have the same measurement then m∠A = m∠B and ∠A ≅ ∠B. So, the correct option is B: II and IV only.
What is an angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
It is given that ∠A and ∠B have the same measurement.
This represents that ∠A and ∠B must be equal and congruent also.
This can be written in expression form as -
∠A ≅ ∠B
For example if ∠A = 90° then ∠B = 90°.
This can be written in expression form as -
m∠A = m∠B
The measure of angle A is equal to measure of angle B.
Therefore, option II and option IV are correct.
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. which interval describes all values of x for which the function f(x) = 2 sin–1(2x) is defined?
The correct option for given trigonometric function is C.
What are trigonometric functions?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.
Now,
For f(x)=2sin^-1()2x
the value of x can be in range {-π/2,π/2}
because sine values are in range {-1,1} for given values of x.
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Right question is provided in image.
I keep on getting the answer to be 163/12 (which is wrong, but im doing the correct method so I don’t know where I’m going wrong), the correct answer is supposed to be 37/12
The minimum of y = f(x) occurs at (x,y) = (3,1). Hence y= f(x) >=1 for all other x in its domain of definition.
What is Quadratic equation ?
Quadratic equation can be defined as equation in which it is in the form of ax^2 + bx + c = 0
where c is a constant.
y = f(x) + 3 merely increases the value y by 3 for any x, or just raises its graph up 3. The x-value for its minimum remains at x=3 and y = f(3) + 3 = 1 + 3 = 4. Hence, new minimum = (3,4)
y = f(x-2) just shifts or translates the graph of f to the right by 2. So what occurred at x=3 (the minimum y) now occurs at x=5 without changing y = 1. Hence, new minimum = (5,1).
y = f(1.5x) compresses the x-scale without changing y. So what happened at x=3 before now happens at x'=2 on the new scale.
Therefore, the minimum point now becomes (2,1).
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A cyclist rode for 3. 5 hours and completed a distance of 60. 9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?.
If the cyclist rode for 1 hour at the same average speed, she would have ridden 17.4 miles.
To find the average speed of a cyclist, you can divide the total distance covered by the total time taken. In this case, the cyclist rode for 3.5 hours and completed a distance of 60.9 miles, giving an average speed of 60.9 miles ÷ 3.5 hours = 17.4 miles per hour. This average speed is constant, meaning that the cyclist would have traveled the same distance in 1 hour as she did in 3.5 hours if she kept the same pace.
Therefore, if the cyclist rode for 1 hour at the same average speed, she would have ridden 17.4 miles. This calculation is important for cyclists and other athletes as it helps them to determine their speed and track their progress over time.
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Solve 3(x – 5) + 8(x – 5) = 22 by interpreting the
expression in parentheses as a single quantity.
Answer:
see below
Step-by-step explanation:
let n = x-5
so 3n+8n = 22
n = 22/11 =2
so x-5=2
x=7
PLEASE HELP ASAPP!!!
We will have 0.44 or 44% of original money after 8 quarters. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
Four fundamental mathematical operations can be used to represent any real number, and they are as follows:
1. The sum of the numbers is calculated using the addition operator ('+').
2. Subtraction with the "-" sign, which results in the difference between the numbers.
3. Multiply ('×') the result when it is the product of the numbers.
4. Division ('÷'), which yields the numbers' quotient.
We are given that we started the company with $5,000,000 and we lose 7% of that start up cash every quarter.
So,
Amount lost every quarter = $5,000,000 * 7% = $350,000
Now,
Amount lost in 8 quarters = $350,000 * 8 = $2,800,000
Therefore,
Money left = $5,000,000 - $2,800,000 = $2,200,000
Thus,
Percentage left of original money = $2,200,000/$5,000,000 * 100 = 44%
Hence, we will have 0.44 or 44% of original money after 8 quarters.
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After his football game malik drinks 1/2 Liter of water and the 1/3 liter of juice did malik drink more juice draw an estimate to partition explain your answer
Answer:
Step-by-step explanation:
After his football game malik drinks 1/2 Liter of water and the 1/3 liter of juice did malik drink more juice draw an estimate to partition explain your answer
After his football game, Malik drank 1/2 liter of water and 1/3 liter of juice. To compare the amounts, we can draw an estimate by partitioning the 1 liter unit into equal parts. For example, we can divide 1 liter into 6 parts, each representing 1/6 of a liter.
If 1/2 liter of water is represented by 3 parts, then 1/3 liter of juice is represented by 2 parts. We can see that Malik drank more water than juice. This is because the partition representing 1/2 liter of water is longer than the partition representing 1/3 liter of juice.
Therefore, the answer is that Malik drank more water than juice.
what is the value of x in the following figure?
A: 128 degrees
B: 142 degrees
D: 52 degrees
C: 38 degrees
Show work
Answer: 128
Step-by-step explanation:
Good evening. A straight line forms a 180° angle, so if you split it up, everything is supposed to add up to 180.
[tex]180-52=128[/tex]
Hope this explanation helped.
14a. Can you tell from this tree whether a C at position 15 evolved before or after a T at position 15?
14b. Explain your answer.
The evolutionary tree is not observed here but it is possible to answer this question by observing which nucleotide is found in the root of the node. It indicates the first substitution.
What is an evolutionary tree?A phylogenetic evolutionary tree is a diagram used to show the evolution of a given taxonomic group (for example, a group of species).
It is possible to trace the evolution of a given taxon by tracing the nucleotide substitution observed from a common ancestor.
In an evolutionary tree, the root of the node is represented by the common ancestor and therefore the presence of a particular nucleotide (either T or C) in that position can be considered as the ancestral character.
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