The another term for the average value of a distribution is "mean."
The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.
However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.
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Which order pair could represent the location of point h
) suppose that the group of ten students consists of six freshmen and four sophomores. in how many different ways can four equal scholarships be distributed if at least two of the scholarships should be awarded to freshmen?
There are 90 different ways in which the four scholarships can be distributed such that at least two are awarded to freshman students.
We first need to determine the number of ways in which we can choose two of the six freshman students to receive scholarships. This can be done using the binomial coefficient formula: \(${6 \choose 2} = 15$\).
Next, we need to determine the number of ways in which we can choose two of the four sophomore students to receive scholarships. This can also be done using the binomial coefficient formula: \(${4 \choose 2} = 6$\)
Finally, we need to multiply these two values together to get the total number of ways in which the scholarships can be distributed: 15 * 6 = 90. Therefore, there are 90 different ways in which the four scholarships can be distributed such that at least two are awarded to freshman students.
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A quadratic and a curvilinear term are the same thing.
True
False
A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with
\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is
False, a quadratic and a curvilinear term are not the same.
False, a curvilinear term is more broad, but quadratics have specific restrictions.
the measure of three interior angle of a triangle are in the ratio 2፡3፡4. what is the measure of the smallest and largest interior angles of triangle?
Answer:
Below
Step-by-step explanation:
The interior angles of ANY triangle add up to 180 degrees
you want to divide this 180 into 2 + 3 + 4 = 9 parts
180 / 9 = 20 degrees for each part
2 parts = 2 * 20 = 40 °
4 parts = 4 * 20 = 80 °
One half of an obtuse angle is 9 more than its supplement. What is the measure of the supplement?
The measure of the supplement angle is 54 degrees.
Step-by-step explanation:
Let's denote the measure of the obtuse angle as x.
One-half of the obtuse angle is 9 more than its supplement,
The supplement of an angle is 180 degrees minus the angle itself. Therefore, the supplement of the obtuse angle is 180 - x.
The equation based on the given information:
(1/2)x = (180 - x) + 9
Solve for x:
(1/2)x = 189 - x
Multiply both sides of the equation by 2 to eliminate the fraction:
x = 2(189 - x)
x = 378 - 2x
Add 2x to both sides of the equation:
x+2x = 378 -2x+2x
3x = 378
Divide both sides of the equation by 3:
x = 378 / 3
x = 126
Therefore, the measure of the obtuse angle is 126 degrees.
To find the measure of the supplement, subtract the obtuse angle from 180:
Supplement = 180 - x = 180 - 126 = 54 degrees
Hence, the measure of the supplement is 54 degrees.
Determine if the equations are parallel, perpendicular, or neither.
x = -4 and x = 9
LOOK AT THE IMAGE ABOVE!
Could someone do these two problems for me please!! PLEASE SOMEONE HELP!
(DO NOT ANSWER IF YOU DONT KNOW OR DONT SHOW THE STEPS)
SOMEONE PLEASE HELP ME
Answer:
13. Parallelogram
14. alternate interior angles (h & a)
same side interior angles (e+d & a)
Step-by-step explanation:
13. Parallelogram: Draw it out with the angles. It helps. It can't be a square, because the side lengths aren't the same (2 lines vs 1 line). It can't be a rectangle because rectangles have 90 degrees and not 152 and 28. It can't be a rhombus because the side lengths in a rhombus must be the same (a rhombus is a square that has been stretched).
14. Look at picture (there might be more than what I wrote in the answer)
Answer:
Step-by-step explanation:
definition of a square : Square has 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
first the shape seems a square, but looking at the information given shows the shape is quadrilateral because it has four sides, and it is not a square because the angles of the shapes are not equal to 90 degrees( even though it shows that) but the given information shows that the angles are 28,152,152, and C. The sum of the angles of any quadrilateral should equal 360,
152+152+28+28=304+56=360 degrees,
opposite angles are equal : angle D=Angle B=28 and angle A=angle C=152
AD=BC and DC=AB ( it seems the shape is a parallelogram).
second image : the two line are parallel then :
angle: g+h=e+d+h=180 degrees ( straight angles)
angle h=angle f
angle g= angle e+d
angle h+b=90 degrees
the sum of angles d+a+c=180 degrees ( the sum of angles of triangle=180).
sum of angles: d+h+90+d+a+c=360 degrees ( sum of angles of quadrilateral=360)
a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side.
The length of side of the rectangle is 6 mm
Since the rectangle has an area of A = 36 mm² and the rectangle has all its sides the same length, then, it is a square. We know that the area of a square A = L² where L = length of sides of square.
Length of side of rectangle
Since we require the length of sides of the rectangle, we make L subject of the formula.
So, L = √A
Now, since the area of the rectangle, A = 36 mm², substituting the value of the variable into the equation, we have
L = √A
L = √(36 mm²)
L = 6 mm
The length of side of the rectangle is 6 mm
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Which of the following is the expansion of (3c + d2)6? 729c6 + 1,458c5d2 + 1,215c4d4 + 540c3d6 + 135c2d8 + 18cd10 + d12 729c6 + 1,458c5d + 1,215c4d2 + 540c3d3 + 135c2d4 + 18cd5 + d6 729c6 + 1,215c5d2 + 810c4d4 + 270c3d6 + 90c2d8 + 15cd10 + d12 729c6 + 243c5d2 + 81c4d4 + 27c3d6 + 9c2d8 + 3cd10 + d12 c6 + 6c5d2 + 15c4d4 + 20c3d6 + 15c2d8 + 6cd10 + d12
Answer:
(. A. )729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd10 + d^12
Step-by-step explanation:
BRAINLIEST PLEASE? :,)
Answer:
Answer is A. 729c6 + 1,458c5d2 + 1,215c4d4 + 540c3d6 + 135c2d8 + 18cd10 + d12
Step-by-step explanation:
got it right on edge
f) You school is putting on a production of Beauty and the Beast. The three main roles are Belle, Beast, Gaston, Lumiere, and Mrs. Potts. If 15 people audition for the roles, how many different ways are there to fill the spots?
Answer: You have to think about permutations
Step-by-step explanation:
There are five main roles to be filled, and 15 people auditioning for them. To calculate the number of ways to fill the roles, we can use the permutation formula:
nPr = n! / (n - r)!
where n is the total number of people auditioning, and r is the number of roles to be filled.
For the first role (Belle), there are 15 options. For the second role (Beast), there are 14 options remaining, since one person has already been chosen for Belle. For the third role (Gaston), there are 13 options remaining, and so on.
Using the permutation formula, we can calculate the total number of ways to fill the roles as:
15P5 = 15! / (15 - 5)!
= 15! / 10!
= 15 x 14 x 13 x 12 x 11
= 360,360
Therefore, there are 360,360 different ways to fill the roles in the production of Beauty and the Beast with 15 people auditioning for the roles.
Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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point) Suppose population doubles in size every years. Find the percent annual growth rate of the population: Round to two decimal places_ percent b) Find the continuous percent growth rate of the population: (Round t0 two decimal places_ percent
The continuous growth rate is approximately 0.6931, which means the population increases by 69.31% continuously every year.
a) To find the percent annual growth rate of the population, we will use the formula:
Growth Rate = (Final Population / Initial Population)^(1/number of years) - 1
Since the population doubles every year, the Final Population is twice the Initial Population. Let's denote the Initial Population as P. So, the Final Population will be 2P. The number of years is 1 since it doubles every year. Now we can plug the values into the formula:
Growth Rate = (2P / P)^(1/1) - 1
Growth Rate = (2)^(1) - 1
Growth Rate = 2 - 1
Growth Rate = 1
The growth rate is 1, which means the population increases by 100% every year.
b) To find the continuous percent growth rate of the population, we use the formula:
Continuous Growth Rate = ln(Final Population / Initial Population) / number of years
Again, the Final Population is 2P and the Initial Population is P. The number of years is still 1. Now we can plug these values into the formula:
Continuous Growth Rate = ln(2P / P) / 1
Continuous Growth Rate = ln(2) / 1
Continuous Growth Rate ≈ 0.6931
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Janel's study group started 3:00. Her friends Jackson and Teagan arrive at 10 minutes after 3. Her friend Natalie arrives 45 minutes later. When did Natalie arrive? Write this time in two other ways.
Answer:
Natalie arrived at 3:55 pm or 15:25
Step-by-step explanation:
Start time is 3:00
The first two friends arrived at 10 minutes after 3. Arrival time = 3:10
Natalie arrived 45 minutes later. Arrival time is 3:10 + 45 = 3:55
Natalie arrived at 3:55, using 24-hour formats, the arrival time is 15:55
What is a solution to the system of linear equations?
(-3,0)
(-3,3)
(0,2)
(3,1)
Answer:
(0,2)
Step-by-step explanation:
A solution is where the lines intersect.
2. Use what you know about the properties of operations to rewrite the expression 7.4.1.5 = commutative
Natural number multiplication is commutative.
What are the properties of operations?Whole numbers can be multiplied together commutatively.Whole number multiplication is associative.Whole number division distributes over addition.The identity for multiplying whole numbers is 1, or 1.According to the commutative property, altering the order of the elements has no impact on the final result. Commutative's fundamental term is commute or exchange.According to the associative property, altering how the elements are grouped has no impact on the final output. Because humans frequently rearrange the groupings of elements while multiplying numbers to simplify issues, this characteristic strongly relates to the commutative property.We can basically spread out the elements thanks to the distributive principle, making it simpler to work with the numbers. When multiplying mentally, this is a common technique.Although multiplication properties might appear difficult, our students can surely master them with scaffolded help.The given number is commutative as -
7.4.1.5 = 5.1.4.7
The answer will always be same irrespective of the order in which it is multiplied
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Solve the division problem. Round answer to the nearest hundredth.9.2/52.063
In order to divide these numbers, first let's start with a 0 in the unit place, since 9.2 is smaller than 52.063.
Then, we multiply 9.2 by 10, this way we will calculate the tenths place.
Now, dividing 92 by 52.063, we have 1 as the result.
The remainder will be 92 - 52.063 = 39.937.
Again, let's multiply the remainder by 10, so now we will calculate the hundredths of the result.
Dividing 399.37 by 52.063 we have 7.
The remainder is 399.37 - 7*52.063 = 34.929.
Multiplying by 10, we have 349.29, and now we calculate the thousandths.
Dividing 349.29 by 52.063 we have 6.
Until now, the result of the division is 0.176.
Rounding to the nearest hundredth, we have 0.18 as the result of the division.
can somwone please do thwse questions
Answer: Follow these exact answers
A C D B A D
Step-by-step explanation: Here is a joke to make you laugh if I'm wrong: What do you call an IT teacher who touches up his students? A PDF file
what is the chang in temperture from -24 to 15?
Answer:
38 degree difference
Step-by-step explanation:
24 + 15 =39
But they share the 0 degree spot so minus one.
39-1=38
Calculate the margin of error for an 80% confidence interval for the mean, when the sample size is 20, the sample mean is 85, and the sample standard deviation is 5.0. Round your answer to 3 decimals
\(The formula for the margin of error is given by:$$\text{Margin of Error}=z_{\alpha/2} \times \frac{s}{\sqrt{n}}$$Where $z_{\alpha/2}$ is the critical value from the standard normal distribution table$\frac{s}{\sqrt{n}}$ is the standard error of the sample.\)
\(We have a sample size $n=20$, the sample means $\bar{x}=85$, and sample standard deviation $s=5$.\)
\(The critical value for an 80% confidence interval is 1.28 (from the standard normal distribution table).$$\text{Margin of Error}=1.28 \times \frac{5}{\sqrt{20}}$$\)
\(Simplifying,$$\text{Margin of Error}=1.28 \times \frac{5}{\sqrt{20}} \approx \boxed{1.811}$$\)
Therefore, the margin of error (rounded to 3 decimal places) for an 80% confidence interval for the mean is approximately 1.811.
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2. Find the equation of a line parallel to y=6x-4 and through point (-2,14)
Answer: y=6x+26
Step-by-step explanation:
To find the equation of a line parallel to the given equation, the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is plug the given point into the equation to find the y-intercept.
14=6(-2)+b [multiply]
14=-12+b [add both sides by 12]
b=26
Now, we know that the equation of y=6x+26.
A recipe for chocolate chip cookies called for 2/3 cup of flour if i want to travel the recipe how much flour will i need
If you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour, for preparing the chocolate chip cookies.
If a recipe for chocolate chip cookies calls for 2/3 cup of flour, then if you want to triple the recipe, you would need 2/3 x 3 = 2 cups of flour.
However, if you want to travel the recipe, meaning reduce the recipe to make a smaller batch, then you need to know the ratio of the ingredients.
For example, if the original recipe made 24 cookies, and you only want to make 12 cookies, then you would need to reduce all of the ingredients by half.
Since the recipe calls for 2/3 cup of flour to make 24 cookies, to make 12 cookies, you would need:
2/3 cup flour
x 1/2 = 1/3 cup of flour
So, if you want to travel the recipe to make a smaller batch of 12 cookies, you would need 1/3 cup of flour.
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a) how many 15-year old students took part in the survey?
By observing the frequency polygon,
the number of 15 year old students who took part in the survey are 300.
What is frequency polygon?A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data.
To calculate the number of students, we add all frequency points corresponding to the time intervals.
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   pls help ( only the 4th ignore the other questions, you’ll need the line plot for 4 )
And pls don’t give me any zip files, just give me the answer
Answer:
When the imposter is sus da da da da da da dada ding
Step-by-step explanation:
if an angle is less than 90 on a protractor but is pointing to 100 what is the real measurement
Answer:
i think its 0.9
Question 3 of 10
Find the value of 5!.
A. 20
OB. 25
OC. 120
OD. 15
SUBIT
Answer:
C.120
Step-by-step explanation:
5×4×3×2×1=120 hope its right
What is the output of the following code fragment?
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl;
The output of the following code fragment
int x=0;
while( x < 5)
cout << x << endl;
x ++;
cout << x << endl; will be 0, 1, 2, 3, 4, 5.
The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.
After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.
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Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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PLEASE HELP!
Solve 1/4 +m ≤ 1/2
Answer:
\(m\leq \frac{1}{4}\)
Step-by-step explanation:
\(\frac{1}{4}+m\leq \frac{1}{2}\)
Simplify both sides in the inequality:
\(m+\frac{1}{4}\leq \frac{1}{2}\)
Subtract 1/4 from both sides:
\(m+\frac{1}{4}-\frac{1}{4} \leq \frac{1}{2}-\frac{1}{4} \\m\leq \frac{1}{4}\)
m ≤ 1/4 is your final answer.
Estimate σA and σB using the loan allocation deviation formula.
A. σ(A) = 12.25% ; σ(B) = 14.14%
B. σ(A) = 17.32% ; σ(B) = 20.0%
C. σ(A) = 16.33% ; σ(B) = 14.14%
D. σ(A) = 14.14% ; σ(B) = 16.33%
The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)
Here,
σ1 = 15%
σ2 = 10%
w1 = 50%,
w2 = 50%
Substituting the values in the above formula:
σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158 = 1.58%σB
= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158
= 1.58%
Hence, the correct option is
D. σ(A) = 14.14%;
σ(B) = 16.33%.
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True Or False? When the group gets to Camamzotz, Mrs. Whatsit says the 3 ladies will stay with them the whole time.
Answer:
false
Step-by-step explanation: