Answer:
75%
Step-by-step explanation:
Begin by converting the fraction 3/4 into decimal.
Divide the numerator by the denominator: 3 ÷ 4 = 0.75
Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.
Therefore, 3/4 = 75%
What is the area of the rectangle shown below?
Answer:
27 square units------------------
The length is the difference of x-coordinates:
9 - 0 = 9 unitsThe width is the difference of y-coordinates:
3 - 0 = 3 unitsArea of a rectangle:
A = lwA = 9*3A = 27 square unitsAnswer:
Step-by-step explanation:
The table below shows the ages of 50 people on a bus.
Age (years) Frequency
0 < h ≤ 20 20
20 < h ≤ 40 10
40 < h ≤ 60 10
60 < h ≤ 80 10
Calculate an estimate for the mean age.
An estimate for the mean age of the 50 people on the bus is 34 years.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us calculate the sum of the products of the midpoints and their respective frequencies, and divide by the total frequency to obtain the estimated mean age.
The midpoint and frequency data for each age group can be represented as follows:
Age group Midpoint Frequency
0 < h ≤ 20 10 20
20 < h ≤ 40 30 10
40 < h ≤ 60 50 10
60 < h ≤ 80 70 10
To calculate the estimated mean age, we can use the formula:
Estimated mean age = (Σ(midpoint × frequency)) / total frequency
Estimated mean age = ((10 × 20) + (30 × 10) + (50 × 10) + (70 × 10)) / (20 + 10 + 10 + 10)
Estimated mean age = (200 + 300 + 500 + 700) / 50
= 1700 / 50
= 34
Therefore, an estimate for the mean age of the 50 people on the bus is 34 years.
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Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?
There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
What do you mean of ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
How to find the ratio?Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
For n/(8+9+10), where n is an integer <27
Ali : Ben : Cathy
8 : 9 : 10
Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
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In a grou of 6 people 45 like apple 30 like banana 15 like orange .if total number of people who like only two fruit is 22 and they like atleast one of the fruits .find the no. of people who like all the fruit
To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.
The total number of people who like only two fruits is 22, and they like at least one of the fruits.
Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:
6 - (23 + 8 + 0)
= 6 - 31
= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.
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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.
This principle helps us calculate the number of elements that belong to at least one of the given sets.
Let's break it down:
1. Start by adding the number of people who like each individual fruit:
- 45 people like apples
- 30 people like bananas
- 15 people like oranges
2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.
3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".
Using the inclusion-exclusion principle, we can set up the following equation:
45 + 30 + 15 - 22 + x = 6
Simplifying the equation, we get:
68 + x = 6
Subtracting 68 from both sides, we find that:
x = -62
Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.
In conclusion, there are no people in the group who like all three fruits.
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Compare 0. 3 and 0. 8 uing >,=, or <. Draw a model or number line to upport your olution
On solving the provided question, we got that - 0.8 > 0.3, 0.8 is greater as , it is more closer to 1 than 0.3.
What is Number Line?The term "number line" refers to a horizontal line with numbers placed equally apart. Depending on the numbers present, you can choose how to respond to the numbers on the line. The corresponding question dictates how to use numbers. B. When arranging the points.
From the provided question,
we have to compare between 0.3 and 0.8.
Here,
Obviously, 0.8 is greater than 0.3.
as on number 0.8 is closer to 1 than 0.3,
and 0.3 is more closer to 0 than 0.8.
Therefore,
0.8 > 0.3.
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Can y’all plz help me plz
Answer:
i think it will be 70 yd
Step-by-step explanation:
(14×5)yd= 70 yd
Answer:
The total area is 179.25yd²
Step-by-step explanation:
You need to break this down into two parts: the rectangle on the left side, and the semicircle on the end.
The radius of the circle is five yards, giving it a diameter of 10 yards. That diameter is also the height of the rectangle, meaning that the rectangle has an area of 14yd × 10yd = 140yd²
The area of a circle is equal to pi times the square of its radius. Given that we only have a semicircle, we need to take that and divide it by two:
a = πr² ÷ 2
a = π × 5² ÷ 2
a = 3.14 × 25 ÷ 2
a = 3.14 × 12.5
a = 39.25
So the circle has an area of 39.25 square yards.
We can then can then add the areas together, giving us a total of 179.25 square yards.
you scored 85 percent on your math quiz. the quiz was out of 40 points how many points did you get
Answer: Said person scored 34 points on their math quiz.
Step-by-step explanation: To identify how many points the person got, what we need to do is multiply 40 by 0.85 because 85% is less than a whole, which would be 100.
40 x 0.85 = 34
Final answer: Out of the 40 maximum points, the person scored 34 points on their math quiz.
Answer:
34
Step-by-step explanation:
First, divide 85 by 100 to get 0.85. Then, multiply the percent (in decimal form) by 40 to get the answer 34.
What is the slope of the line that passes through the points (-10,5) and (3,4)
Answer:
-1 / 13
Step-by-step explanation:
(x 1,y1) = (-10,5)
(x2, y2) = (3,4)
y2 - y1 / x2 - x1
Answer:
m= -1/13
Step-by-step explanation:
Use the method y2-y1/ x2-x1 to find the slope to this problem. Then you plug in the numbers and solve you will get the answer of -1/13.
A selection method is said to have utility when it 0 out of 1 points Which one of the following is the best example of a behavioral (or work sample) question? uestion 3 1 out of 1 points Artificial intelligence (AI) is sometimes used to analyze a candidate's psychological profile to whether it will fit Question 4 0 out of 1 points Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer
Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...
This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.
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on a piece of paper, graph y≥-2x-2
Attached to this post is the graph that illustrates the function of inequality that is presented below.
This is further explained below.
What is a Graph?Generally, a representation of the fluctuation of one variable in comparison with that of one or more other variables, typically in the form of a diagram consisting of a sequence of one or more points, lines, line segments, curves, or regions. a representation of the fluctuation of one variable in comparison with that of one or more other variables.
A compilation of all of the sites whose coordinates satisfy the conditions of a certain connection (such as a function)
In conclusion, The Graph that depicts the function of inequality shown below is attached below
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If f(x + 1) = x² - 1 and g(x + 1) = x² + 1, find f(x) + g(x).
If \(f(x+1) = x^2 - 1\), then
\(f(x) = f((x - 1) + 1) = (x - 1)^2 - 1\)
Similarly,
\(g(x + 1) = x^2 + 1 \implies g(x) = g((x-1) + 1) = (x-1)^2 + 1\).
Then
\(f(x) + g(x) = \bigg((x-1)^2 - 1\bigg) + \bigg((x-1)^2 + 1\bigg) = \boxed{2(x-1)^2}\)
what's the surface area of a cylinder with radius 3 feet and height 4 feet?
Answer: The answer is 226.2 feet.
Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.
UR MOM
the first step in developing a competency model is:
The first step in developing a competency-model is to gather background information and analyze the existing standards within the workplace.
The first-step involves conducting a thorough examination of the organization's goals, strategies, and the specific job roles or positions for which the competency-model will be developed.
By gathering background information, organizations can understand the context in which the competency-model will be applied.
Analyzing existing standards within the workplace involves assessing the current performance expectations, competencies, and criteria used for evaluating employees in their respective roles.
The purpose of this step is to identify any gaps or areas for improvement in the existing standards and to ensure that the development of the competency model aligns with the organization's overall objectives.
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The first step in developing a competency model is conducting a job analysis.
developing a competency model is a systematic process that helps organizations define the key competencies needed for their employees. The first step in this process is conducting a job analysis.
A job analysis involves gathering information about the job, such as its purpose, tasks, responsibilities, and required qualifications. This information can be collected through methods like interviews, observations, and surveys. By analyzing the job, organizations can identify the critical competencies that are necessary for effective job performance.
These competencies can then be used to guide various HR processes, including recruitment, selection, training, and performance management. By aligning the competencies with job requirements, organizations can ensure that they have the right people with the right skills in the right positions.
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The volume of this cylinder is 1,469.52 cubic millimeters. What is the height?
Use a 3.14 and round your answer to the nearest hundredth.
Answer:
13
Step-by-step explanation:
Hope this is helpful
The number of boysin a club is 48 and the number of girls is 20. Express this ratio in its simplest form
Answer:
the ratio is 12:5
Step-by-step explanation:
48:20 divided in half 24:10 divided in half 12:5
A variable is normally distributed with mean 16 and standard deviation 2.
determine the quartiles of the variable
obtain and interpret the 85th percentile
find the value that 65% of all possible values of the variable exceed
find the two values that divide the area under the corresponding normal curve into middle area of 0.95 and two outside areas of 0.025
Quartiles are the values that divide an ordered dataset into four equal parts, and they are frequently used in box plots to depict the distribution of data. There are three quartiles in total: the first, second (which is the median), and third quartiles.
1. Determine the quartiles of the variable:We know that the mean of the variable is 16, and the standard deviation is 2.To calculate the quartiles, we first need to standardize them and find the z-score:For Q1:z = (Q1 - μ) / σ0.25 = (Q1 - 16) / 2Q1 = (0.25 x 2) + 16 = 16.5For Q3:z = (Q3 - μ) / σ0.75 = (Q3 - 16) / 2Q3 = (0.75 x 2) + 16 = 17.5Therefore, the first and third quartiles are 16.5 and 17.5, respectively.2. Obtain and interpret the 85th percentile:The 85th percentile is the value beneath which 85% of the data falls. We can find it by calculating the z-score that corresponds to the 85th percentile and using it to find the corresponding x-value from the standard normal distribution table.z = invNorm(0.85) = 1.04x = (1.04 x 2) + 16 = 18.08The 85th percentile for this variable is 18.08, which means that 85% of all values in the dataset are beneath this value.
3. Find the value that 65% of all possible values of the variable exceed:This implies that we must first locate the 35th percentile and then add the corresponding value to the mean.z = invNorm(0.35) = -0.39x = (-0.39 x 2) + 16 = 15.22The value that 65% of all possible values of the variable exceed is 15.22.z1 = invNorm(0.025) = -1.96z2 = invNorm(0.975) = 1.96x1 = (-1.96 x 2) + 16 = 12.08x2 = (1.96 x 2) + 16 = 19.92Therefore, the two values that divide the area under the corresponding normal curve into the middle area of 0.95 and two outside areas of 0.025 are 12.08 and 19.92.
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Can please name line d
Answer:
a) tangent
b) radius
c) diameter
d) chord
Step-by-step explanation:
You want the vocabulary words associated with various segments in and around a circle.
TangentA tangent is a line or segment that is external to the circle and intersects it at one point. A tangent is always perpendicular to a radius. (Segment a is a tangent.)
RadiusA radius of a circle is a line segment between the center and a point on the circle. (Segment b is a radius.)
ChordA chord is a line segment internal to the circle that joins two points on the circle. (Segment d is a chord.)
DiameterA diameter of a circle is a chord that contains the center of the circle. (Segment c is a diameter, and also a chord. The more specific descriptor is "diameter.")
At Jefferson middle school 82 students were asked which sport they plan to participate in for the upcoming year. 20 students plan to participate in track and cross-country,six students in cross country and basketball, and a total of forty students plan to participate in cross country. Ten students don’t plan to participate in any three sports.
how many plan to particapate in cross country
Answer:
2 kids plan to do cross country
Step-by-step explanation:
What is the annual discount rate if a cashflow of £52 million in 5 years' time is currently valued at £25 million?
a. 86.37\% b. 15.77% c. 21.60% d. 115.77% e. 108.00%
The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.
Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.
The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:
£25 million = £52 million / (1 + r)^5.
Dividing both sides by £52 million and taking the fifth root, we have:
(1 + r)^5 = 25/52.
Taking the fifth root of both sides, we get:
1 + r = (25/52)^(1/5).
Subtracting 1 from both sides, we obtain:
r = (25/52)^(1/5) - 1.
Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.
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Determine the values of the following quantities. (Round your answers to three decimal places.) A. t0.10,14 B. t0.05,14C. t0.05,27D. t0.05,60E. t0.005,60
The values of such following quantities are (A), 1.345, (B), 1.761, (C), 1.706, (D), 1.676, and (E), 2.678 according to the stated statement.
What types of amounts are there?Any logical combining of a number, changeable, or other quantity is referred to as a quantity in a mathematical equation. For example, the equation x + 6 = Fifteen denotes four different numbers: 6, 15, x, and the sum of x plus 6, or x + 6. The concept is that just being exposed to something increases our likelihood of like it more. We are far more likely to enjoy someone or something the more often we interact with them.
The following table lists the quantities of the quantities:
(A). Here,
\($\alpha=0.10, d f=14$$t_{0.10,14}=1.345$\)
(B). Here,
\($\alpha=0.05, d f=14$$t_{0.05,14}=1.761$\)
(C). Here,
\($\alpha=0.05, d f=26$$$t_{0.05,26}=1.706$$\)
(D). Here,
\($\alpha=0.05, d f=50$$$t_{0.05,50}=1.676$$\)
(E). Here,
\($\alpha=0.005, d f=50$$$t_{0.005,50}=2.678$$\)
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Solve |2x - 3| < 7.
Answer:
5 or (-2,5)
Step-by-step explanation:
|2x-3|<7
2x-3<7
2x=10
x=5
Answer:
x < 5
Step-by-step explanation:
Add 3 to both sides of the equation. This is to balance the equation.2x - 3 + 3 < 7 + 3
Now, add 7 and 3.7 + 3 = 10
Add -3 and positive 3.-3 + 3 = 0
= 2x + 0
= 2x
Now, the problem becomes,2x < 10
Divide by 22x/2 < 10/2
Divide by 2: 10/210/2 = 5
Divide by 2: 2x2x/2 = 2/2
= x (We assume x = 1)
Divide both numbers= 5/1
= 5
Therefore,
x < 5
Hope this helps!
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.
Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.
Answer:
Step-by-step explanation:
he has to take the marbles and put them in a container. then he puts the marbles into the glass tank gently. Finally he can fill up a jar with water and pour it into the glass tank to fill it up.
Convert into an exponential expression
Answer:
Step-by-step explanation:
Sally has 42 cookies she wants to eat some and share some with her class if she hopes to share at least 35 with them with her class how many cookies can she eat?
Answer:
7 cookies
Step-by-step explanation:
42 - 35 = 7
using the clausius‐clapeyron equation determine what variables related to the measured values would be graphed on the x and y axes, along with what m and b would represent.
In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.
Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.
The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.
The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.
By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.
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PLZZZ SEND HELPPP ANSWER QUICKK
Answer:
The answer is C 2^3
hope this helps!!!
Answer:
2^3
Step-by-step explanation:
Ok, let's jump right in!
Multiply 2^6 by 2^−3 by adding the exponents.
Use the power rule a^m a^n = a^m+n to combine exponents. Therefore, we get:
2^ 6-3
Subtract 3 from 6.
2^3
TIP: For next time remember that when you have to multiply exponents you that have the same base number you really just have to add the exponents.
Write the system of linear equations represented by the
augmented matrix to the right. Use x, y, and z for the
variables.
7 0 4 | -14
0 1 -4 | 13
5 2 0 | 6
Write the equation represented by the first row.
Write the equation represented by the second row.
Write the equation represented by the third row.
The given augmented matrix represents a system of linear equations. The equations represented by the rows are as follows: 7x + 0y + 4z = -140, 1x - 4y + 0z = 135, and 2x + 0y + 0z = 6.
The given augmented matrix is:
[7 0 4 | -140]
[1 -4 0 | 135]
[2 0 0 | 6]
To convert the augmented matrix into a system of linear equations, we consider each row separately.
The first row represents the equation 7x + 0y + 4z = -140. This equation shows that the coefficient of x is 7, the coefficient of y is 0 (implying that y is not present in the equation), and the coefficient of z is 4. The right side of the equation is -140.
The second row represents the equation 1x - 4y + 0z = 135. Here, the coefficient of x is 1, the coefficient of y is -4, and the coefficient of z is 0. The right side of the equation is 135.
The third row represents the equation 2x + 0y + 0z = 6. In this equation, the coefficient of x is 2, while y and z are not present (having coefficients of 0). The right side of the equation is 6.
By writing out these equations, we can analyze the system and solve for the variables x, y, and z if needed.
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identify the type I error and the type II error that correspond to the given hypothesis.
The percentage of high school students who graduate is equal to 55%.
Identify the type I error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually equal to 55%.
B. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually different from 55%.
C. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually different from 55%.
D. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when the percentage is actually equal to 55%.
Identify the type II error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually different from 55%.
B. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when the percentage is actually equal to 55%.
C. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when the percentage is actually equal o 55%.
D. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually different from 55%.
Null Hypothesis is the claim that no difference or relationship exists between two sets of data or variables being analyzed.
Type I error: A. Reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually equal to 55%.
Type II error: D. Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when the percentage is actually different from 55%.
In statistics, the null hypothesis is a statement that there is no significant difference between two populations or sets of data. It is a hypothesis that is assumed to be true until proven otherwise. The null hypothesis is often denoted as H0 and is used to test the validity of an alternative hypothesis (Ha). The goal of hypothesis testing is to determine whether the evidence supports rejecting the null hypothesis in favor of the alternative hypothesis.
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in corn, purple kernel color is dominant over yellow kernel color. if you sample 100 random kernels and count 9 yellow kernels and 91 purple kernels (and you assume that this population is in hard-weinberg equilibrium), what is the frequency of the yellow allele?
q, is 0.09.
The frequency of the yellow allele in this population can be calculated using the Hard-Weinberg equation.
This equation states that p2 + 2pq + q2 = 1,
where p is the frequency of the dominant allele (purple) and q is the frequency of the recessive allele (yellow).
Using this equation, you can calculate that the frequency of the yellow allele, q, is 0.09.
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