It is an inferential technique that uses the data from a sample to draw inferences about a population.
Hypothesis testing is a type of statistical hypothesis that uses data from a sample to draw judgments about a population parameter or a population probability distribution.
First, an uncertain hypothesis is made about the parameter or distribution. This is named the null hypothesis and is denoted by [tex]H_{O}[/tex]. An alternative hypothesis (denoted [tex]H_{a}[/tex]), which is the opposite of the null hypothesis, is then described.
The hypothesis-testing process involves using sample data to decide whether or not [tex]H_{0}[/tex] can be rejected. If [tex]H_{O}[/tex] is rejected, the statistical determination is that the alternative hypothesis [tex]H_{a[/tex] is true.
Hence, the correct answer is c.
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--The given question is incorrect; the correct question is
"A hypothesis test is
a. a descriptive technique that allows researchers to describe a sample
b. a descriptive technique that allows researchers to describe a population
c. an inferential technique that uses the data from a sample to draw inferences about a population
d. an inferential technique that uses information about the population to make predictions about a sample"--
9, 10, 11, and 12 express the triple integral ∭ef(x,y,z)dv as an iterated integral for the given function f and solid region e. evaluate the iterated integral.
The triple integral ∭ef(x,y,z)dv = ∭ [ [tex]\int\limits[/tex] xy dz ] dxdy {D: 0≤x≤2, x≤y≤2 } as an iterated integral for the given function.
In three-dimensional space R3, a point with rectangular coordinates (x, y, z) can be identified with cylindrical coordinates (r,θ,z) and vice versa. We can use these same conversion relationships, adding z as the vertical distance to the point from the x y-plane
As the name implies, triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.
In two-dimensional space R2, a point with rectangular coordinates (x, y) can be identified with (r, θ) in polar coordinates and vice versa, where x=rcosθ, y=rsinθ, r²=x²+y² and tanθ=(y.x) are the relationships between the variables.
E is formed by z=0, x=0, y=x, z=4-[tex]y^{2}[/tex]
Assuming the projection of the spatial region E to the xoy plane is D, surface surrounding upper part of E is z(upper) = (x,y)
The surface surrounding lower part of z(down) = (x,y)
Then,
E : z(down)(x,y) ≤ z ≤ z(upper) (x,y)
Therefore,
The triple integral∭ef(x,y,z)dv = ∭ [ [tex]\int\limits[/tex] xy dz ] dxdy {D: 0≤x≤2, x≤y≤2 } as an iterated integral for the given function.
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A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $40 and then $0.50 per megabyte (MB) of data used on the phone. Examine the problem and identify the variables in the situation.
The slope and the intercept of the linear function in this problem are given as follows:
Slope of $0.5, representing the cost per MB.Intercept of $40, representing the flat monthly fee.Hence the variables are given as follows:
Input variable x: number of MB of data used.Output variable y: total cost of the plan.What is a linear function?The linear function in slope-intercept format is given as follows:
y = mx + b
In which:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the intercept, representing the initial value assumed by the output variable.A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $40 and then $0.50 per megabyte (MB) of data used on the phone, hence the parameters are given as follows:
b = 40, m = 0.5.
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Jan 27, 8:14:06 PM Watch help video Sarah is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Sarah's test score (out of 50) if she got 10 questions wrong? What would be her score if she got a questions wrong? Score with 10 questions wrong: Score with a questions wrong: Submit Answer Privacy Policy Terms of Service Copyright 200 attempt 1 out of 2
Answer:
• 30
• 48
• 5:8
Step-by-step explanation:
Sarah's score if she got 10 questions wrong = 50 - (10×2) = 50 - 20 = 30
Sarah's score if she got one question wrong = 50 - (1×2) = 50 - 2 = 48
Ratio:
Score with 10 QW : Score with 1 QW
30 : 48
(÷6) : (÷6)
5 : 8
The following coordinates are the vertices of a triangle.
Answer below in exact radical form or as a decimal rounded to at least
two decimal places.
K (8,-1) L (-9, 5) M (-10,-7)
What is the length of KL?
According to the given question the length of KL is 18.03 units.
What is length?Length is the term used for identifying the size of an object or distance from one point to the other.
The length of KL can be found using the distance formula between two points:
√((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, the length of KL is:
√((-9 - 8)^2 + (5 + 1)^2) = √((-17)^2 + 6^2) = √(289 + 36) = √(325) = 18.03.
Rounded to two decimal places, the length of KL is 18.03 units.
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The ratio of runners to walkers in the fund raiser was 6 to 1. If there were 10 walkers, how many runners were there?
Answer:
If the ratio of runners to walkers in the fund raiser was 6 to 1, and there were 10 walkers, then there would have been 60 runners.
Answer:
60 runners
Step-by-step explanation:
1x10=10
6x10-60
f(n) = 2n
a. f(5) =
b. f(0) =
Answer:
a.f (n)=2n
=2×n
=2×5
=10
b.f (n)=2n
=2×n
2×0
=0
one method of conducting a survey involves selecting a sampling of a representative group of people. true false
It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.
Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.
Survey sampling involves three steps, which are:
sample selection: what group of people to include in one's sample,data collection: collecting data from the sample's answers, andestimation: the estimation about the general population using statistical calculations.Learn more about survey at https://brainly.com/question/19637329.
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luke's choice behavior can be represented by the utility function u(x1,x2)=x1 x2. the prices of x1 and x2 are denoted as p1 and p2, and his income is m.
When Luke selects combinations of x1 and x2 that, function given his income and the prices of x1 and x2, maximise his utility, his utility is maximised.
A utility function, which gauges the satisfaction he will have from a particular mix of items, can be used to model Luke's decision-making. His utility function, for instance, might be u(x1,x2)=x1 x2, which indicates the satisfaction he will experience from x1 and x2 is the sum of their respective numbers. His income is m, and the prices of x1 and x2 are represented as p1 and p2, respectively. Given Luke's income and the prices of x1 and x2, the x1 and x2 combination that maximises Luke's utility will also maximise the product of x1 and x2. This is so that, given the same income and prices, if one combination of x1 and x2 gives a higher utility than another combination of x1 and x2, Luke will then pick the combo that has the greatest utility. Given his income and the costs of x1 and x2, Luke will therefore go for the x1 and x2 combination that provides him with the greatest utility.
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For a normal population with the known variance σ2, answer the following questions. Round your answers to two decimal places (e.g. 98.76) a) What value of confidence level gives za/2 equal to 2.10? b) What value of confidence level gives za/2 equal to 2.27? c) What value of confidence level gives Za/2 equal to 1.13?
If a normal population has a known variance σ² , then the value of confidence level for z_(α/2) equal to 2.10 is 96.42% .
The value of z_(α/2) is used to determine the critical value for a two-tailed hypothesis test with a given level of significance(α).
The Critical Value separates the rejection region from the acceptance region in the standard normal distribution.
A Confidence Level is often expressed as (1 - α) , where α is the level of significance.
To find the confidence level that corresponds to z_(α/2) = 2.10, we can solve for 1 - α:
⇒ α/2 = 0.0179 ;
⇒ α = 0.0179 × 2 = 0.0358 ;
⇒ So , 1 - α = 1 - 0.0358 = 0.9642 or 96.42% .
Therefore , the value of Confidence Level is 96.42% .
The given question is incomplete , the complete question is
For a normal population with the known variance σ² , What value of confidence level gives z_(α/2) equal to 2.10 ?
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Skylar's monthly bank statement showed the following deposits and withdrawals:
$107.51, $102.07, -−$99.71, -−$17.66, $110.57
If Skylar's balance in the account was $80.83 at the beginning of the month, what was the account balance at the end of the month?
The account balance at the end of the month is $62.47
What is bank statement?A bank statement is an official summary of financial transactions occurring within a given period for each bank account held by a person or business with a financial institution
The total deposits in the account is
$107.51, $102.07 = $209.58
Total withdrawals in the account is:
−$99.71, -−$17.66, $110.57=$227.94
To get the account balance at the month end:
Add the opening balance with the total deposits and substract the withdrawals from it
($80.83+$209.58) - $227.94
$290.41 - $227.94
=$62.47
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if a1 = 3 and an = 4an - 1 - 4 then find the value of a3
Answer:
the value of a3 is 39.
Step-by-step explanation:
The given equation is a recursive formula for the sequence a(n) = 4a(n-1) - 1 - 4. This means that a(n) is defined in terms of the previous term in the sequence, a(n-1).
Given that a1 = 3, we can use this as the starting point and apply the recursive formula repeatedly to find the value of a3.
a2 = 4a1 - 1 - 4 = 4(3) - 1 - 4 = 11
a3 = 4a2 - 1 - 4 = 4(11) - 1 - 4 = 39
So the value of a3 is 39.
Answer:
28
Explanation:
Given that a1 = 3 and an = 4an-1 - 4
to find a3 we can substitute the value of a3 in terms of a2 and a1.
a3 = 4a2 - 4
and a2 = 4a1 - 4
substituting a2 and a1 in terms of their values we get
a3 = 4(4a1 - 4) - 4
substituting the given value of a1 we get
a3 = 4(4*3 - 4) - 4
a3 = 4(8) - 4 = 32 - 4 = 28
So the value of a3 is 28.
[tex] {2}^{2} \times {3}^{2} \times {5}^{2} [/tex]
I NEED HELP ASAP!!!! PLS!!!!
Is the prime factorization of what composite number?
A) 300
B) 900
C) 180
D) 240
) how many ways are there to assign 8 keys to 2 people, if each person must have at least one key? (b) how many ways are there to put 8 keys on 2 distinct key rings of four keys each? key rings that are flipped or rotated are considered the same.
Total number of ways for the 8 keys as per the given condition are:
a. Assigned to 2 people : 1024 ways
b. 8 keys to put on 2 different key rings = 12 ways.
a. Total number of keys to be assigned = 8
Number of people keys to be assigned = 2
If each person has at least 1 key
More than one key is assigned to two people that is 2, 3,4,5,6,7
Maximum 7 keys are assigned to one people
Number of ways keys assigned to 2 people
= (2¹× 2⁷) + (2²× 2⁶) + (2³× 2⁵) +(2⁴× 2⁴)
= 2⁸ + 2⁸ + 2⁸ + 2⁸
= 4 ( 2⁸)
= 4 ( 256 )
= 1024ways
b. Number of ways to put 8 keys to put in 2 distinct ring with 4 keys each
= 2 ( 4 - 1 )!
= 2 (3!)
= 12 ways
Therefore, the number of ways to assigned for different conditions are:
a. To 2 people at least one key to each person : 1024 ways.
b. 8 keys to put in 2 rings = 12 ways.
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find the measure of each angle indicated
Answer:
90
Step-by-step explanation:
total is 360
so 360-120-2*75 =90
A circle has a diameter of 12 inches. what is the best approximation of its area? use 3.14 to approximate for π.
The best approximation of the area of the circle is 113.04 square inches.
A circle is a shape with all points equidistant from a central point, known as the center. The distance from the center to any point on the edge of the circle is called the radius.
It can be calculated using the formula π [tex]r^2[/tex], where r is the radius.
Since the diameter of the circle is 12 inches, the radius would be half of that which is 6 inches.
So, the area would be approximately 3.14 * [tex]6^2[/tex] = 113.04 square inches.
Therefore, The best approximation of the area of the circle is 113.04 square inches.
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Solve for x, then find the measurement of the angle given: m (a + 28)° = 2a°
Based on the Alternate Interior Angles Theorem, the value of a is 28.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two parallel lines are cut by a transversal, the pairs of angles on the same side of the transversal and inside the parallel lines are congruent.
Therefore,
(a + 28)° = 2a° based on the Alternate Interior Angles Theorem.
Solve to find a:
To find the value of a in this equation we can start isolating it.
(a + 28)° = 2a°
We can subtract a° from both sides:
28° = a°
Thus the value of a is 28.
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you are in charge of the cake for a child's birthday. you have decided the cake will have one candle for each year of their total age. they will only be able to blow out the tallest of the candles. count how many candles are tallest.
So normally, the way i am doing so is by moving from each place of the array comparing each other with two for cycles, the second cycle will count the iterate numbers, some people use Math.max imported function.
int birthdayCakeCandles(vector<int> candles) {
int count = 0;
int max = 0;
for(size_t i = 0; i < candles.size() ; i++)
{
int num = candles[i];
if (num > max)
{
max = num.
count = 1.
} else if (max == num)
{
count++.
}
}
return count.
}
This should be much clear, iterate through the array find max if max already exists again increase count, if some other element greater than max set it to max and reset count to 1.
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use the distributive property to find y.
(3 x 7) - (3x 1) = y x (7 - 1)
someone please help!!
Answer:
x=0
Step-by-step explanation:
21x-3x=yx(7-1)
18x=6xy
18x=6xy=0
6x(3-y)=0
x=0
integral of e^(5x)*cos(6x)
here is your correct answer
The integral of the given function e^(6x).cos(5x) is
6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C , c is the constant.
∫u(x)v′(x)dx=u(x)v(x)−∫u′(x)v(x)dx
We apply the integration by parts twice to solve this problem. We use the integration by parts for the first time:
we choose u(x)=cos(5x), v′(x)=e6x, which gives us u(x)=−5sin(5x), v(x)=16e6x
We have ∫e6xcos(5x)dx = 16e6xcos(5x) + 56∫e6xsin(5x)dx
Now, we use integration by parts for the second time for the integral on the right-hand side. This time
we choose u(x)=sin(5x),v′(x)=e6x, which gives us u′(x)=5cos(5x), v(x)=16e6x
We have ∫e6xsin(5x)dx=16e6xsin(5x)+56∫e6xcos(5x)dx
Evaluating the integral:
∫e6xcos(5x)dx=16e6xcos(5x)+56∫e6xsin(5x)dx=16e6xcos(5x)+56(16e6xsin(5x)−56∫e6xcos(5x)dx)=16e6xcos(5x)+536e6xsin(5x)−2536∫e6xcos(5x)dx
We solve this equation for ∫e6xcos(5x)dx , and we get:
∫e^6x.cos^(5x).dx = 6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C
where C is the constant of integration.
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angles between parallel lines find angles a, b, c, d
Based on the quadrilateral, the measure of angles a, b, c, and d are as follows;
a = 101°b = 79°c = 83°d = 97°How to determine the measure of angles a, b, c, and d?In Mathematics, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal according to the Linear Pair Postulate:
a + 79° = 180°
a = 180° - 79°
a = 101°
In Geometry, the vertical angles theorem states that two opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other. Therefore, we have the following:
c = 83° (vertically opposite angle).
By applying the co-interior angles theorem, we have the following:
a + b = 180°
101 + b= 180°
b = 180° - 101°
b = 79°
d + c = 180° (co-interior angles)
d + 83° = 180°
d = 180° - 83°
d = 97°
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what units are on both sides of the equation: x = vt 1/2at2?
The units on both sides of equation x = vt + 1/2at^2 are units of distance or length.
On the left side of the equation, x represents the position or distance traveled by an object. On the right side of the equation, vt represents the distance traveled by the object due to its initial velocity (v) in a specific time interval (t). The second term, 1/2at^2, represents the additional distance traveled due to acceleration (a) of the object in that same time interval.
The units of v, a, and t will affect the units of the entire equation. For example, if v is measured in meters per second, a in meters per second squared, and t in seconds, then x will be measured in meters. It is important to ensure consistent units throughout any calculation to obtain accurate results.
Therefore, The units on both sides of equation x = vt + 1/2at^2 are units of distance or length.
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Classify each number below as a rational number or an irrational number.
Answer:
it is 52.6
Step-by-step explanation:
because that is the very big number
i hope that helps you
For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
Answer:
8 is a solution for the following equations:
x + 6 = 2 (subtracting 6 from both sides gives x = -4)
x - 4 = 4 (adding 4 to both sides gives x = 8)
3x = 24 (dividing both sides by 3 gives x = 8)
StartFraction x Over 8 EndFraction = 1 (multiplying both sides by 8 gives x = 8)
Note that for x+2=10 and x-2=10 and 2x = 4, 8 is not a solution.
What’s the answer to the question?
the area and the perimeter of a certain square is equal. Find the length of each side
The length of each side of the square is 4 units. The perimeter of the square is 16 units.
What is the perimeter?
A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Assume that the length of the side of the square is a.
The perimeter of the square is 4a.
The area of the square is a².
Given that the perimeter and the area of the square are the same.
According to the question,
a² = 4a
Solve the above equation:
a² - 4a = 0
a(a-4) = 0
Either a = 0 or, a-4 = 0
a ≠ 0
Therefore, a = 4
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in a football competition there are 4 teams. each team plays each other once. what is the total number of matches played
The total number of matches played are 6 matches.
Total Football MatchesThe number of matches in a round-robin tournament is given by n(n-1)/2, where n is the number of teams.
In this case, n=4, so the number of matches = 4(4-1)/2 = 6.
The formula n(n-1)/2 is a combinatorial calculation for the number of unique pairings possible among n items.
In the context of a round-robin tournament, n is the number of teams, and each team must play every other team exactly once. This means that each match must involve two unique teams.
The formula n(n-1)/2 calculates the number of unique pairs that can be formed from n items. The numerator (n-1) represents the number of elements available to be paired with the first element, then n-2 for the second element and so on. Dividing by 2 accounts for double-counting the same pairs, as each pair can be counted twice (once for each team in the pair).
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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given
zeros. Write the function in standard form.
4, - √5
f(x) =
Answer:
f(x) = x^2 - 4x - √5
Step-by-step explanation:
A polynomial function of least degree with rational coefficients, a leading coefficient of 1, and zeroes at 4 and -√5 can be written as:
f(x) = (x - 4)(x + √5)
This is a polynomial of degree 2 (a quadratic), and it has rational coefficients as it is made up of two binomials, both of which have integers as their coefficients. The leading coefficient is 1, and the zeroes are at 4 and -√5.
In standard form, f(x) = ax^2 + bx + c, we can write it as
f(x) = x^2 - 4x - √5
Note that the above polynomial uses irrational numbers, which are not rational coefficients, but it has zeroes at the given value of 4 and -√5.
determine if f left parenthesis x right parenthesis is continuous at x equals 6. if not, select the option with the correct reasoning as to why not.
The given function is continuous for all values of x between 0 to 6.
and the function is discontinuous because it is not defined on -2≤x<0
.
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. The function supplied is said to as discontinuous if it is not continuous. In other words, if we can draw the graph of the function around a given point without removing the pen from the plane of the paper, we may say that a function is continuous at that point.
Determine the value of the function -
[tex]f(x)=\sqrt{\frac{6x}{x+2}}[/tex] is continuous or not continuous,
The given function is continuous for all values of x between 0 to 6.
and the function is discontinuous because it is not defined on -2≤x<0.
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find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude.
The vectors =−6 3 and = 6 6 are not orthogonal because they have different magnitude.
Orthogonal vectors are two vectors that are perpendicular to each other, meaning they form a 90-degree angle.
As we all know that when two vectors have the same magnitude and are orthogonal, they are said to be orthonormal.
To find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude, we first need to find the magnitude of each vector.
For the first vector, =−6 3,
the magnitude is
=> √(−6)² + (3)²
=> √(36 + 9) = √45
=> 3√5.
For the second vector, = 6 6,
the magnitude is
=> √(6)² + (6)² = √(36 + 36)
=> √72 = 6√2.
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Maggie and her iter bought a gift for their mother that cot $54. Maggie contributed $26 to the cot of the gift. Write an addition equation that could be ued to find how much money, , Maggie’ iter contributed to the gift
The equation that represents the contribution of Maggie’s sister is x = Total cost - Maggie contribution
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Information about the problem:
Total cost = $54
Maggie contribution = $26
Maggie’s sister contribution = x
The function that models the situation is the following:
x = Total cost - Maggie contribution
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Correctly written question:
Maggie and her sister bought a gift for their mother that cots $54. Maggie contributed $26 to the cost of the gift. Write an addition equation that could be used to find how much money, Maggie’s sister contributed to the gift
