Ima be giving brainliest plus help!!!!!!!
Answer:
32 degrees
Step-by-step explanation:
Recall the three main trig functions: sine, cosine, and tangent.
When using sine, we divide the opposite side from the angle by the hypothenuse.
When using cosine, we divide the adjacent side of the angle by the hypothenuse.
When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.
Since we are given the opposite and adjacent sides, we'll use tangent.
We set up the equation like normal:
tan x [tex]= \frac{13}{21}[/tex]
Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:
[tex]x = arctan(\frac{13}{21} )[/tex]
(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.
Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)
Help I don't understand.
Using the given percentage we can see that the minimum and maximum numbers are:
N- = 967
N+ = 1,150
How to get the minimum and maximum amounts?The total number of students is 3,650, and we know that the average percentage is 29% ± 2.5%
The minimum value is what we get when we use the minus sign:
29% - 2.5% = 26.5%
The 26.5% of 3,650 is:
N- = (0.265)* 3,650 = 967
The maximum value is what we get when we use the plus sign:
29% + 2.5% = 31.5%
The 31.5% of 3,650 is:
N+ = (0.315)*3,650 = 1,150
These are the two values.
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help help help urgenttt.. i need this done today by 11:59 pmm
The one less likely to be picked is the one with less & (Vice Versa).
To find the probability: (#of paper clips/total amount of items)
5,5,6,9,4,3,4,8,10,4 what is the range
Answer: Symbol max-min and answer 10-4
Step-by-step explanation:
An athlete has decided to track how many minutes they exercise each day. During the first day, the athlete exercised for 30 minutes. For each day after that, the athlete increased their exercise time by 3 minutes. Which equation in point-slope form models the number of minutes the athlete exercises, y, based on the day, x?
A: y-30=3(x-1)
B: y+30=3(x+1)
C: y-1=3(x-30)
E: y+1=3(x+30
The initial exercise time is 30 minutes, so the y-intercept of the line is 30. The athlete increases their exercise time by 3 minutes each day, which means the slope of the line is 3. The correct answer is option: A.
We use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Using the first day's exercise time as our point, we get (1, 30) as our (x1, y1) values. Substituting these values into the point-slope form and simplifying, we get y - 30 = 3(x - 1), that is option A. Hence option A is correct.
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Tangent ratios can be greater than or equal to 1 because...
Tangent ratios can be greater than or equal to 1 because acute angle is between 45 degrees and 90 degrees.
If the opposite side is longer than the adjacent side, then the tangent ratio will be greater than 1.
Similarly, if the opposite side is equal in length to the adjacent side, then the tangent ratio will be equal to 1.
In general, the tangent ratio can be greater than or equal to 1 when the opposite side is longer or equal in length to the adjacent side. This occurs when the acute angle is between 45 degrees and 90 degrees.
It is important to note that when the acute angle is less than 45 degrees, the tangent ratio will always be less than 1. Conversely, when the acute angle is greater than 90 degrees, the tangent ratio will be negative and less than 1.
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A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
The graph that correctly displays the data is this: C. bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.
How to obtain the correct graphA graph plots values to show the relationship between two variables often depicted by the x and y axes. The correct graph to display this data is a bar graph with the title "Favorite Sport" and the x-axis labeled "Sport" and the y-axis labeled "Number of Students."
The first bar should be labeled "Basketball" and go to a value of 17, the second bar should be labeled "Baseball" and go to a value of 12, the third bar should be labeled "Soccer" and go to a value of 27, and the fourth bar should be labeled "Tennis" and go to a value of 44.
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Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Answer:
1. Neither would yield the lower tax.
2. (not sure yet about how much)
3. and there is not really a marriage penalty.
The energy for a rigid rotator constrained to rotate in the x-y plane is given by 21 where the moment of inertia I is a constant. (a) What is the Hamiltonian? Show that the Hamiltonian and L commute. What are the allowed energies and normalized energy eigenfunctions of the rigid rotator?
a. The Hamiltonian is given by:
H = T + V = (p² / 2I) + 0 = p² / 2I
b. Since the commutator is zero, we can conclude that the Hamiltonian and L commute.
c. The energy eigenfunctions are given by:
ψ[tex]_{n}[/tex](θ, φ) = √((2n + 1) / (4π)) × [tex]e^{(inφ)[/tex] × P[tex]_{n}[/tex](cosθ)
What is Hamiltonian?When time is not explicitly included in the function, it is used to characterize a dynamic system (such as the motion of a particle) in terms of momentum components and coordinates of space and time, and it is equal to the total energy of the system.
(a) The Hamiltonian is given by:
H = T + V = (p² / 2I) + 0 = p² / 2I
where T is the kinetic energy and V is the potential energy. Since the rotator is constrained to rotate in the x-y plane, there is no potential energy.
b. To show that the Hamiltonian and L commute, we need to calculate their commutator:
[H, L] = HL - LH
where L is the angular momentum operator given by L = r x p, where r is the position vector and p is the momentum operator.
HL = (p² / 2I) × (r × p) - (r × p) × (p² / 2I)
= (1/2I) × (p² × r × p - r × p × p²)
= (1/2I) × [p², r x p]
LH = (r x p) × (p² / 2I) - (p² / 2I) × (r x p)
= (1/2I) × (r × p × p² - p² × r x p)
= -(1/2I) × [p², r x p]
Therefore, [H, L] = [p², r x p] / 2I - [p², r x p] / 2I = 0.
Since the commutator is zero, we can conclude that the Hamiltonian and L commute.
c. The allowed energies of the rigid rotator are given by:
E[tex]_{n}[/tex]= (n² × h²) / (8I)
where n is a positive integer and h is Planck's constant. The energy levels are quantized and spaced equally apart, with the energy increasing as n increases.
The energy eigenfunctions are given by:
ψ[tex]_{n}[/tex](θ, φ) = √((2n + 1) / (4π)) * [tex]e^{(inφ)[/tex] * P[tex]_{n}[/tex](cosθ)
where θ is the polar angle and φ is the azimuthal angle, and P_n(x) is the n-th order Legendre polynomial. The eigenfunctions are normalized and orthogonal, with each energy level having a unique set of eigenfunctions.
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Which type of government structure would be threatened by debate over public policy?
A government structure that is authoritarian or dictatorial in nature would be threatened by debate over public policy.
In such a system, the government exercises complete control over decision-making and any opposition or dissent is not tolerated.
Open debate and discussion over public policy would challenge the authority of the government and its ability to maintain control over the population.
Democracies, on the other hand, thrive on healthy debate and discussion over public policy, as it allows for diverse perspectives and ideas to be heard and considered.
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What is ¨the surface area of a tissue box¨ unit of measurement
A - Square meters
B - Yards
C - Cubic inches
D - Cubic feet
E - Square centimeters
The surface area of a tissue box is a measure of the total area that the surface of the box occupies. Out of the options given, A - Square meters and E - Square centimetres are both square units and could be used to measure the surface area of a tissue box.
Explain surface area
The surface area is the total area that covers the outer surface of a three-dimensional object. It is calculated by adding the areas of all the faces or surfaces of the object.
Explain area
The area is the measure of the size of a two-dimensional surface or region. It is expressed in units of square units (e.g., square meters, square inches).
According to the given information
The surface area of a tissue box is a measure of the total area that the surface of the box occupies. Since area is measured in square units, the correct unit of measurement for the surface area of a tissue box would be a square unit. Out of the options given, A - Square meters and E - Square centimeters are both square units and could be used to measure the surface area of a tissue box.
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find the sum of the first 6 terms of the finite geometric series 18, -54, 162
The sum of the first 6 terms of the given sequence is -1350.
What is sum?
In mathematics, the term "sum" refers to the result of adding two or more numbers or quantities together. The sum of two numbers a and b is denoted by a + b. Similarly, the sum of three numbers a, b, and c is denoted by a + b + c.
The given sequence is a finite geometric sequence with a common ratio of -3. To find the sum of the first 6 terms of this sequence, we can use the formula for the sum of a finite geometric series:
[tex]S_n = a(1 - r^n) / (1 - r)[/tex]
where S_n is the sum of the first n terms of the sequence, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the sequence.
Substituting the given values, we get:
[tex]S_6 = 18(1 - (-3)^6) / (1 - (-3))\\\\S_6 = 18(1 - 729) / 4\\\\S_6 = -1350[/tex]
Therefore, the sum of the first 6 terms of the given sequence is -1350.
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Answer:
Step-by-step explanation:
-1,092
kelly has 3 bags whith 8 pieces of candy in each bag.lori has 8 bags whith 6 pieces candy in each . how much more candy does lori have then kelly
If Kelly has 3 bags containing 8 pieces each, and Lori has 8 bags containing 6 pieces each, then Lori have 24 candies more than Kelly.
If Kelly has 3 bags which contains 8 pieces of candy in each bag,
then Total number of candies with Kelly is = 3×8 = 24 candies,
If Lori has 8 bags which contains 6 pieces of candy in each bag,
then Total number of candies with Lori is = 8×6 = 48 candies,
So, to find how much more candy Lori has than Kelly, we need to subtract the number of pieces of candy Kelly has from the number Lori has;
The equation to find the difference in candies is written;
⇒ Difference = (total candies with Lori) - (total candies with Kelly),
⇒ Difference = 48 - 24 = 24 candies;
Therefore, Lori has 24 more pieces of candy than Kelly.
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PLEASE HELP ME!!!!
A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?
a. Approximately 7–9 pounds
b. Approximately 6–10 pounds
c. Approximately 5–11 pounds
d.Approximately 4–12 pounds
Answer:
Step-by-step explanation:
A cuz if we do 7-9=1 and he has one pound of each
4) Which statement about having a salaried job is true?
Question 4 options:
The employee must work over forty hours to receive a salary each week.
The employee is paid the same amount each week regardless of the number of hours worked.
The employee must have more experience than anyone else.
The employee is paid salary only if they work exactly forty hours each week.
The statement that is true about having a salaried job is "The employee is paid the same amount each week regardless of the number of hours worked." So, correct option is B.
Salaried jobs typically offer a set salary for a specified period, such as weekly, bi-weekly, or monthly, regardless of the number of hours worked. This is in contrast to hourly jobs where an employee is paid based on the number of hours worked.
Salaried employees often have a contract that specifies their salary and may include additional benefits, such as health insurance, paid vacation days, or retirement plans.
The amount of the salary is often negotiated during the hiring process and may be based on factors such as the employee's experience, education, and qualifications.
While salaried employees are expected to work a certain number of hours per week, the salary remains the same regardless of whether the employee works more or less than the expected hours.
So, correct option is B.
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Question 8(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.
Explain about the box plot:The distribution of data is shown using a boxplot, which is a standardised method based on a five-number summary ("minimum," first quartile ("Q1"), median ("Q3"), and "maximum").
It can reveal information about your outliers' values. Boxplots can also show you how tightly that data is grouped, whether or not your data is skewed, and whether or not your data is symmetrical.The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line which it divided the box in half.For the case of -
A total of 100 distinct gummy vitamins that are offered worldwide were counted for their milligrammes of vitamin C content.
The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.
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Which of the following are examples of rational numbers? Select all that apply.
√4+√16
√5 +√36
√9+√24
2* √4
√49 • √81
3√12
The rational numbers in the list of options are √4+√16, 2* √4 and √49 • √81
The examples of rational numbers among the given options are:
2√4: √4 is equal to 2, so 2√4 = 2*2 = 4, which is a rational number.√49 • √81: √49 is equal to 7 and √81 is equal to 9, so √49 • √81 = 7 • 9 = 63, which is a rational number.√4+√16: √4 is equal to 2 and √16 is equal to 4, so √4+√16 = 2 + 4 = 6, which is a rational number.The other options are not rational numbers:
√5+√36: √5 is an irrational number, so √5+√36 is not a rational number.√9+√24: √24 is an irrational number, so √9+√24 is not a rational number.3√12: √12 is equal to 2√3, so 3√12 = 3 • 2√3 = 6√3, which is not a rational number.Read more about rational numbers at
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research conducted a few years ago showed that 12% of uw-platteville students had traveled outside the us. uw-platteville has recently implemented a new study abroad program and results of a new survey show that out of the 100 randomly sampled students 35 have traveled abroad. to know if the proportion of students at uw-platteville who have traveled abroad has increased after the implementation of the study abroad program, what is the appropriate null and alternative hypothesis?
The null hypothesis is that the proportion of students who have traveled abroad is still 12%, while the alternative hypothesis is that the proportion has increased and is now greater than 12%.
The appropriate null hypothesis is that the proportion of students at UW-Platteville who have traveled abroad remains the same as before the implementation of the study abroad program. The alternative hypothesis is that the proportion of students who have traveled abroad has increased after the implementation of the program.
Mathematically:
H0: p = 0.12
Ha: p > 0.12
where p is the true proportion of students at UW-Platteville who have traveled abroad.
To test this hypothesis, we can use a one-tailed z-test for proportions. Using the given sample information, we can calculate the test statistic as:
z = (0.35 - 0.12) / sqrt((0.12 * 0.88) / 100) = 3.87
where 0.88 is the complement of 0.12, and sqrt denotes the square root. The critical value for a one-tailed test at the 0.05 level of significance is 1.645.
Since the test statistic (3.87) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level to support the claim that the proportion of students who have traveled abroad has increased after the implementation of the study abroad program.
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Function f is a logarithmic function with a vertical asymptote at x=0 and an x-intercept at (4,0). The function is decreasing over the interval (0, ∞)
The interval over which both functions are positive is (4, ∞).
How to write an equation for the transformed logarithm?In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:
f(x) = alog(±x + h) + k
Where:
a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.Based on the given logarithm function g(z) = log₂(z + 3) - 2, we can reasonably infer and logically deduce that it is a vertical translation of this logarithmic function f(z) = log₂(z + 3).
Additionally, the logarithm function g(z) has a vertical asymptote at z = -3 and would be positive on the interval (-3, ∞). This ultimately implies that, an intersection of the intervals over which each function is positive is given by;
Intersection of intervals = (4, ∞) ∪ (-3, ∞).
Positive interval = (4, ∞).
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The simplified slope of item number 2 is:
a. 1/6
b. 6
c. -6
d. -1/6
The simplified slope of item number 3 is:
a. 4/7
b. 3/4
c. 7/4
d. -4/3
The simplified slope of item number 4 is:
a. 3/5
b. -3/5
c. -5/12
d. -12/5
Answer:
c and a
Step-by-step explanation:
Expanda 12. 907. 054 mostrando cada digito por el valor en su lugar
We can expand 12.907.054 as 1 × 10,000,000,000 + 2 × 1,000,000,000 + 9 × 100,000,000 + 0 × 10,000,000 + 7 × 1,000,000 + 0 × 100,000 + 5 × 10 + 4 × 1.
To expand a decimal number by showing each digit by value, we need to break it down into its place values. For example, in the number 12.907.054, the first digit to the left of the decimal point is in the billions place, the second digit is in the hundred millions place, and so on.
So, we can expand 12.907.054 as follows:
1 × 10,000,000,000 + 2 × 1,000,000,000 + 9 × 100,000,000 + 0 × 10,000,000 + 7 × 1,000,000 + 0 × 100,000 + 5 × 10 + 4 × 1
This means that 12.907.054 can be written as the sum of its place values. The first digit to the left of the decimal point is worth 10 billion, the second digit is worth 1 billion, and so on until we reach the ones place.
Expanding a decimal number by showing each digit by value is a way to better understand the place values of each digit and to break down the number into smaller parts for easier analysis.
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please help me this is due tomorrow
Answer:
Step-by-step explanation:
This graph represents the line of best fit for some dataset.
It is reduced to a linear function in this instance with a constant slope, where x represents the independent variable and y, the dependent variable. This shows us quiz score is supposedly directly proportional to the time spent on homework per week in hours.
To find the amount of time someone should expect to study to get a 96% on their quiz you need to resolve the linear function modeled by y=mx+b which is in slope-intercept form. where m is the slope and b is the y-intercept. the y-intercept can be found when x = 0 which is shown in the graph to be 63, to solve for slope you can use the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] which is rise/ run. then plug in any 2 points I will use (1,69) and (2,75) [tex]\frac{75-69 }{2-1 }[/tex] or 6 which means m = 6, therefore, our equation is y = 6x + 63 and because we know that y must be 96 for this question, we can solve for x using inverse operations. 96 = 6x + 63 subtract 63 from both sides and 6x = 33 then divide by 6 and 33/6 = 5.5 so a person should expect to study 5.5 hours to get a quiz score of 96%
What is the definition LCD
Answer:
The definition of LCD is Least Common Denominator.
Step-by-step explanation:
Question 2:
LCD of 7/8 and 3/4 is 8
Question 3 :
7/8 - 3/4
7/8 - 6/8
1/8
Hope this helps :) !!
Answer:
Step-by-step explanation: First of all, the full form of LCD is "Lowest Common Denominator"
LCD is the least common denominator that can be used for all types of fractions.
For example, if we have the fractions 1/2 and 2/3, we can write:
1/2 as 2/4,3/6 or 4/8
and
2/3 as 4/6,6/9 or 8/12
Hence, the least common denominator of 1/2 and 2/3 is 6, since it is present in the denominators of all the fractions.
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8(m + 4) as a equilalent expression
Hence, the equivalent expression of 8(m + 4) is 8 m + 32.
What is the expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
What is the equivalent expression?Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
we know that, the distributive property of multiplication over addition,
that is a(b + c) = ab + ac.
So, apply this property in 8(m + 4),
than we get:
8(m + 4) = 8 m + 8(4)
8(m + 4) = 8 m + 32
Therefore, the equivalent expression for 8(m + 4) is 8 m + 32.
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Question 1-2
The relationship between two variables a and b is proportional. When a is 4, b is 49, What is a when b is 147?
12
16
4
8
Therefore , the solution of the given problem of equation comes out to be the value of an is 12 when b is 147. Therefore, 12 is the right response.
Define equation.In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics of the above x + 7 suggestions. improving in this case provides b + 7 while constructing y + 7 before integrating.
Here,
The following values can be used to put up a proportion if the relationship between variables a and b is proportional:
=> a / b = 4 / 49
The value of a when b is 147 can therefore be calculated using this ratio:
=> a / 147 = 4 / 49
By cross-multiplying, we can isolate a:
=> a = (4 / 49) * 147
Now that we know the value of a, we can:
=> a = 12
Therefore, the value of an is 12 when b is 147. Therefore, 12 is the right response.
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I need a bit of help please
Answer: Im gonna guess and say its c
Step-by-step explanation:
The formula v=0. 83B^3/2 represent the wind speed, v, in relation to b, the Beaufort scale number Determine the Beaufort scale number when the wind speed is 9. 4 meter per second
Answer:
5.0
Step-by-step explanation:
You want the Beaufort scale number corresponding to 9.4 m/s, given the formula ...
v = 0.83B^(3/2)
SolutionPut the given speed in the formula and solve for B.
9.4 = 0.83B^(3/2)
9.4/0.83 = B^(3/2)
B = (9.4/0.83)^(2/3) ≈ 5.043
The wind speed is about 5.0 on the Beaufort scale.
Please help!!!!!!!!
The following data shows the grades that an 8th grade mathematics class received on a recent exam.
{99, 94, 91, 79, 88, 94, 92, 93, 90, 89, 77, 75, 65, 90, 87, 93, 92, 82, 65, 60, 78}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (6 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (6 points)
The line plot of the data points is added as an attachment
The best representation and whyPart A:
A line plot or dot plot would be an appropriate graphical representation for this data set. A line plot would show each data point on a number line with an X above the value,
This graph would be appropriate for displaying this data because the data set is relatively small and the values are discrete (whole numbers), making it easy to see the frequency and distribution of the data points.
Part B:
To create a line plot or dot plot for this data set, you would first need to create a number line that spans the range of values in the data set.
In this case, the range of values is from 91 to 125, so the number line would include all values between these two numbers.
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How does sample variance influence the estimated standard error and measures of effect size such as r2 and Cohen's d?
A) Larger variance increases both the standard error and measures of effect size.
B) Larger variance increases the standard error but decreases measures of effect size.
C) Larger variance decreases the standard error but increases measures of effect size.
D) Larger variance decreases both the standard error and measures of effect size.
The estimated standard error and measures of effect size such as r2 and Cohen's d larger variance increases the standard error but decreases measures of effect size. B.
Larger variance increases the standard error but decreases measures of effect size.
The standard error is a measure of how much the sample mean is likely to vary from the true population mean.
It is calculated as the standard deviation of the sample divided by the square root of the sample size.
If the sample variance is large, the standard deviation of the sample will also be large, resulting in a larger standard error.
Measures of effect size, such as r2 and Cohen's d, indicate the strength of the relationship between variables or the size of the difference between groups, respectively.
Larger sample variances indicate greater variability in the data, which can make it more difficult to detect significant effects.
This can result in smaller effect sizes, as the magnitude of the effect is reduced relative to the variability in the data.
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URGENT - Will also give brainliest to simple answer
Find the length of the arc that outlines the sector
Answer:
arc length ≈ 37.7
Step-by-step explanation:
the arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{135}{360}[/tex] ( r is the radius )
= 2π × 16 × [tex]\frac{3}{8}[/tex]
= 32π × [tex]\frac{3}{8}[/tex]
= 4π × 3
= 12π
≈ 37.7 ( to the nearest tenth )