Using HCF to determine the integer with smallest number of factors, the value is 24
What is LCMHCF stands for Highest Common Factor. It is the largest positive integer that divides two or more given numbers without leaving a remainder.
In this problem, we are asked to find number that will have the same number of factors as 2022, we can start by listing all factors of 2022.
The HCF of 2022 are
2022 : 1, 2, 3, 6, 337, 674, 1011, 2022
The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24
24 has 8 factors, which is the same number of factors as 2022. 24 is the smallest positive integer with 8 factors.
From the explanation above, the smallest integer with same number of factors as 2022 is 24.
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Please help me ,really need help
The classification of each pair of angles is given below.
What is an angle?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Corresponding angle = figure 3 and figure 5
Alternate interior angle = figure 4
Alternate exterior angle = figure 1
None of these = figure 2
Hence, these are the required answer.
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would using standard deviations be a good way to detect fraud? explain your answer. yes, because the standard deviations of these two distributions are very close in value. no, because the standard deviations of these two distributions are not equal. no, because the standard deviations of these two distributions are not too different from one another. yes, because a standard deviation of 2.58 will indicate fraud. any other value will indicate legitimate expense amounts. yes, fraudulent reports will always have a standard deviation that is greater than 2.46.
(a) The standard deviation is 2.582
(b) No, because the standard deviations of these two distributions are not too different from one another.
a) In this question we have been given
The given information is:
First Digit 1 2 3 4 5 6 7 8 9
Probability 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9
Now we find the standard deviation.
The mean for given data is:
μ = ∑xP(X = x)
μ = (1*1/9) +(2*1/9)+(3*1/9)+(4*1/9)+(5*1/9)+(6*1/9)+(7*1/9)+(8*1/9)+(9*1/9)
μ = 5
The standard deviation is:
σ² = ∑(x - μ)²P(X)
σ² = (1 - 5)² *1/9 +(2 - 5)²*1/9+(3 - 5)²*1/9+(4 - 5)²*1/9 + (5 - 5)²*1/9+(6 - 5)²*1/9+(7-5)²*1/9+(8-5)²*1/9)+(9-5)²*1/9
σ² = 2.582
(b) The uniform distribution's standard deviation is 2.582, while Benford's law's standard deviation is 2.46
Using the standard deviation to detect fraud is not a good idea because the two distributions have about the same standard deviation
Therefore, (a) The standard deviation is 2.582
(b) using standard deviations would not be a good way to detect fraud.
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The complete question is:
Benford’s law and fraud
(a) Using the graph from Exercise 21, calculate the standard deviation σY. This gives us an idea of how much variation we’d expect in the employee’s expense records if he assumed that first digits from 1 to 9 were equally likely.
(b) The standard deviation of the first digits of randomly selected expense amounts that follow Benford’s law is . Would using standard deviations be a good way to detect fraud? Explain your answer.
wb and za are two competing grocery stores in a particular region. the probability that a customer who shops this week at wb will shop again at wb next week is 64% whereas the probability that a za customer will shop next week at za is 76%. what is the probability that a customer who shops at za in week 0 will shop at za in week 2?
The probability that a customer shops at za in week 0 will shop at za in week 2 = 57.76%
In this question, we have been given wb and za are two competing grocery stores in a particular region. the probability that a customer who shops this week at wb will shop again at wb next week is 64% whereas the probability that a za customer will shop next week at za is 76%.
We need to find the probability that a customer who shops at za in week 0 will shop at za in week 2.
Let in week 0, 100 customers shop at za.
The probability that a za customer will shop next week at za is 76%.
This means, in week 1, 76 customers shop at za.
And in week 2, 76% of 76 customers will shop at za.
76 percent of 76 = 57.76
Therefore, the required probability is 57.76%
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how to find the number of individuals in the sample with the specified characteristic x if n is 1200
The point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.
In statistics, for point estimation, an unknown population parameter (e.g. population mean). More formally, it is applying a point estimator to data to obtain a point estimate.
Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.
Based on the question,
The confidence interval of Lower bound is 0.226.
The confidence interval of Upper bound is 0.604.
X - E = 0.226. --------------------------- (1)
X + E = 0.604 ---------------------------(2)
Adding equation (1) and (2),
2X = 0.83
⇒ X = 0.83/2
⇒ X = 0.415
Putting X = 0.415 in equation (1),
0.415 + E = 0.604
⇒ E = 0.604 - 0.415
⇒ E = 0.189
Thus, the point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.
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Which digit should be put in the empty box so that the resulting number is between seven lakh three thousand and seven lakh four thousand?
A. 0
B. 1
C. 3
D. 4
Is this Relation a Function?
{(0,2),(3,4),(-3,-2),(2,4)}
Answer:
Yes.
Step-by-step explanation:
In order for a relation to be a function, Each y value must have a unique x value. If there is any point where a vertical line hits the relation in two places, it is not a function. This relation follows the rules of being a function, and therefore is a function.
scores on an english test are normally distributed with a mean of 30.6 and a standard deviation of 6. a) what percentage of students score below 33? b) find the score that is at the 80th percentile.
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
Given that,
English test results have a mean of 30.6 and a standard deviation of 6, and they are normally distributed.
We have to find
(a) What proportion of pupils receive a score below 33.
b) Determine the score that falls within the 80% range.
We know that,
X: Scores of an english test
X≈N(30.6 , 6²)
(a) P(X<33)= P(Z<33-30.6/6)
=P(Z<0.4)
=1-P(Z>0.4)
=1-0.34458
=0.65542
(b) P(X<x)=0.80
P(Z<x-30.6/6)=0.80
1-P(Z>x-30.6/6)=1-0.80
P(Z>x-30.6/6)=0.20
x-30.6/6=0.20
x= 35.64
Therefore,
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
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Please help. How to do area of quadrilateral??
Answer:
the quadrilateral is a trapezium,
area of trapezium ABCD = AB(AD + BC)/2
By distance formula,
AD = 5 units
BC = 9 units
AB = 6 units
area = 6(5+9)/2
=6×7
=42
option D is correct
question content area top part 1 shannon says that the lines y, y , y, and y could represent the sides of a rectangle. explain shannon's error.
The four equations' coefficients of x can only take two values, thus if one of those values is m, the other solution will be -1/m.
What is the equation?A relation between different terms on either side of the equal sign is described by a straightforward equation.
Simple equations also follow one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.
There are three primary versions of the set of equations: point-slope form, standard form, or slope-intercept form.
So, Shannon's error would be:
In a rectangle, the adjoining sides are perpendicular to one other, whereas parallel runs between the opposing sides.
The slope of parallel lines is equal, and the slope, of a line perpendicular to some other line with a slope, m, is -1/m , thus the slopes of the central axis should be equal, which also gives:
Two sets of systems of equations with equal slopes should make up the equation: B. Y = -x + 6 and Y = -x - 5 are a pair.
Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 correspondingly.
Therefore, the four equations' coefficients of x can only take two values, thus if one of those values is m, the other solution will be -1/m.
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Correct question;
Shannon says that the lines y=-3x-4,y=-(1)/(3)x+6,y=-4x-5, and y=(1)/(4)x-5 could represent the sides of a rectangle. Explain Shannon's error.
I need help in this question!!
Step-by-step explanation:
Bro it is just 180- 41 - 93
you do the calculation
Find the slope of the line that contains the following points: (-7, 8) and (12, 8)
The slope of the line that contains the points: (-7, 8) and (12, 8) is 0
How to calculate the slope of the line?From the question, the points are given as
(-7, 8) and (12, 8)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (-7, 8) and (12, 8)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-7, 8) and (12, 8)
Substitute the known values in the above equation
So, we have the following equation
Slope = (8 - 8)/(12 + 7)
Evaluate
Slope = 0
Hence, the slope of the line is 0
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if the radius is 40 what is the circumference
Answer:
Step-by-step explanation:
An equiangular triangle has one side of length six inches. What is the perimeter of the triangle, in inches?.
Answer: 18 inches
Step-by-step explanation:
A triangle with three equivalent angles, because of the properties of triangles, would also be an equilateral triangle. This means each side length is 6 inches. 6+6+6=18 inches.
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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What is the sum of all interior angles of a 32-sided regular polygon?
169°
180°
5,400°
5,580°
Answer: 5,400
Step-by-step explanation:
In a triangle, the sum of angles is is 180. In a quadrilateral, the sum of angles is 360. In a pentagon, the sum of angles is 540. We can see that as the every time the number of sides increases by 1, the interior angle sum increases by 180.
Let's subtract the given amount of sides by the amount of sides in a triangle to see how many sides it has increased by.
32 - 3 = 29.
Now we multiply the increase in sides by 180 to get how much the interior angle sum has increased.
29 * 180 = 5220.
Finally add back the sum of angles in a triangle.
5220 + 180 = 5,400.
Answer:
5,400
Step-by-step explanation:
5220 + 180 = 5,400
Using the z table, determine the critical value for the left-tailed test with α = 0.02. Round your answer to 2 decimal places.
-2.05 is the critical value for the left-tailed test .
What is critical z value?
The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.
With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.
You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.
Given that,
α = 0.02.
left tailed test
Zα = 0.02 = -2.05
critical value = -2.05
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Write a compound inequality to represent all of the numbers between 4 and 6. UPLOAD All real number that are between.docx X WRITER All real number that are between 4 and 6. Form of compound inequality the statement represents: Suppose x is real number from statement is the greater than 4 and 6. x>-4 and x<6. The compound inequality written as 4-5} {xIx<5)? the empty set the numbers between -5 and 5 all numbers except -5 and 5 all real numbers
The compound inequality is -4 < X < 6.
Let X represents the numbers between 4 and 6
X is between 4 and 6. This means that 4 and 6 are not included in the series of numbers. Thus, they are the boundaries of the series of numbers.
The number between 4 and 6 is 5.
To find the compound inequality, we look at the series of numbers. Here, we notice that the number 5 is greater than 4 (the number is greater than 4 because it lies on the right-hand side of 4 on the number line) and the number 5 is smaller than 6 (the number is smaller than 6 because it lies on the left-hand side of 6 on the number line).
Thus, the compound inequality is -4 < X < 6.
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-11x-4=-6+31 please help
Answer:
- 11x = 29
Step-by-step explanation:
- 11x - 4 = - 6 + 31
- 11x - 4 = 25
- 11x - 4 = 25
- 11x - 4 + 4 = 25 + 4
- 11x = 29
Which word rhymes with mall?(1 point)
Responses
toll
toll
sail
sail
foul
foul
brawl
brawl
Answer:
brawl
Step-by-step explanation:
I need help thanks for your help…
Answer: 2
Step-by-step explanation:
How do I do this? , it’s making me confused
Answer:
you remember vertex: h,k in (x-h)²+k..
replace in that. In that graph vertex: (10, -20)
So in that Equation, a(x-10)²-20, a<0 since it is maximum graph.
I cannot find the full Equation but from what I can see you can find h,k and the fact that a<0
A store is offering a 30% discount on all jeans. If the regular price of a pair of jeans is $49. 99, what is the sale price of the jeans? responses.
When a store is offering a 30% discount on all jeans. If the regular price of a pair of jeans is $49.99, then the sale price of the jeans after discount will be $34.99 per pair.
The computation of the discounted price or the actual sales price of the jeans after applying the given discount can be calculated using the generalized formula, and putting the values of the provided information, as below,
Sale Price = Regular Price – Discount Rate
Sale Price = 49.99 – 30%
Sale Price = 49.99–14.97
Sale Price = $34.99
Therefore, the actual sales price of the pair of jeans will be $34.99.
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solve for y. log5 logy=log40
For the given log function, the value of y is 8.
What is a logarithmic function?An exponent is a logarithm. In logarithmic form, any exponential expression can be rewritten.
Here given, log function :
Log 5 + Log y = Log 40
Can be also written as,
Log y = Log 40 - Log 5 => (eq1)
Based on log property we know that,
Log m - Log n = Log
That is,
Log 40 - Log 5 = Log
Also be written as,
Log 40 - Log 5 = Log 8 => (eq2)
By solving eq1 and eq2, we get,
Log y = Log 8
∴ y = 8
Therefore, The value of will be y = 8
Hence by solving Log 5 + Log y = Log 40 , the value of y is 8.
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Value of y is 8.
What is a logarithmic equation?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 is equal to 10³, its logarithm in base 10 is 3, or log₁₀ (1000) = 3. When there is no possibility of mistake or when the base is irrelevant, as in big O notation, the logarithm of x to base a is written as logₐ (x), logₐ x, or even without the explicit base, log x.
Given, the equation is log5 + logy = log40
log 40 can be written as log (5*8)
According to the logarithmic equation of log ab = log a + log b
Thus log 40 = log 5 + log 8
Now, the expression becomes
log5 + logy = log 5 + log 8
⇒ log y = log 8
⇒ y = 8
Thus, value of y is 8.
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A store sells grape jelly in 15-ounce jars for $13.59. Find the price per ounce
Answer:
91 cents per ounce
Step-by-step explanation:
Divide 13.59 by 15
Answer: $0.91
Step-by-step explanation:
Take $13.59 divided by 15 = $0.91 per ounce
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write an equation for the graph shown in the form $y=ax b.$
The required straight equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
What are equations in a straight line?
A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.
According to the given graph,
We can see two points are (-5, 0) and (5, 2)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -5, y₁ = 0
x₂ = 5, y₂ = 2
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - 0 = (2 - 0)/(8-4)(x-(-5))
⇒ y - 30 = (2)/(-4)(x + 5)
⇒ y - 30 = -1/2(x + 5)
⇒ y = (-1/2)x - 5/2 + 30
⇒ y = -0.5x + 27.5
Thus, the required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
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Write an equation for the graph shown in the form y=ax+b.
find the distance between the two points, round to the nearest tenth (if necessary).
(−2,−5) and (−7,−7)
Leg 1:
Leg 2:
Distance:
The distance between the points A ( -2 , -5 ) and B ( -7 , -7 ) is 5.4 units
What is the distance between two points?
Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the first point be A ( x₁ , y₁ )
The value of A ( x₁ , y₁ ) = A ( -2 , -5 )
Let the second point be B ( x₂ , y₂ )
The value of B ( x₂ , y₂ ) = B ( -7 , -7 )
Now , the distance between the two points is given by the formula
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
where D is the distance
Substituting the values in the equation , we get
Distance D = √ [ ( -7 - (-2) )² + ( ( -7 - (-5) )² ]
On simplifying the equation , we get
Distance D = √ (-7 + 2 )² + ( -7 + 5 )²
Distance D = √ ( -5 )² + ( -2 )²
So , the value of D is
Distance D = √ ( 25 + 4 )
Distance D = √29 units
So , the approximate value of distance D = 5.39 units
Therefore , the value of Distance D = 5.4 units
Hence ,
The distance between the points A ( -2 , -5 ) and B ( -7 , -7 ) is 5.4 units
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Please help gotta get this done asap end of term is soon and I’m TERRIBLE at math!!
Find the missing values in the table below so that it represents a linear function. Enter
Y2, 93, and y4 in order, in the boxes below.
(Picture Below)
the answer is -20 -15 -10 -5 -0
Answer:
y2= -15, y3=-10, y4=-5
Step-by-step explanation:
so basically, the answers have to decrease/increase by the same amount. idrk what else to say but those should be right.
How do I find a perpendicular line to a vertical line graph eg: x=2?
Answer:
Any line that is in the form
y =
Step-by-step explanation:
See the graph below. Perpendicular means that the lines meet at 90°. You will see the black line graphed that is x = 2. Then you will see two graphs in red. y = 6 and y = -1. any line in the form y = some number will be perpendicular to x = 2.
a container weighs 5kg when empty but weigh 13kg and 25kg when it is completely full of water what is the weight of the water it is one quarter inside the container when it is one quarter filled with water
The weight of the container when one quarter filled with water would be = 13.25kg
What is weight?Weight is defined as the quantity that shows the total amount of matter that can be found in an object and it's measured in grams or Kilograms.
The weight of the empty container = 5kg
The weight of the container and water= 13+25= 38kg
Therefore the weight of water = 38-5= 33kg
If 1 = 33kg
1/4 = X kg
Make X kg the subject of formula;
X kg = 33×1/4
X kg = 8.25 + 5kg( weight of container) = 13.25kg.
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Which statement explains how the lines x + y = 2 and y = x + 4 are related? (1 point)
The product of the slope of the lines is negative 1. Then both lines are perpendicular to each other.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
x + y = 2 ...1
y = x + 4 ...2
The slope of the first line is -1 and the slope of the second line is 1.
The product of the slope of the lines is negative 1. Then both lines are perpendicular to each other.
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