Answer: the statement is false
Step-by-step explanation:
the sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on. which type of sampling method is the auditor using for each salesperson?
Systematic random sampling is the sampling method is the auditor using for each salesperson.
Define sampling method.Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
Given,
The sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on.
Systematic random sampling is the sampling method is the auditor using for each salesperson.
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there are four boxes that look the same. in one box (the special box), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue. you pick a box at random and randomly select a marble from it. the marble is blue. what should your new odds be that the box you picked is the special one?
The new odds that the box picked is a special one is 4
Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.
We will have this hypothesis:
The box the blue marble was picked from is the special box.
Prior confidence we had:
Ratio of special boxes to non special boxes=1:3
Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue
And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue
According to Baye's factor ,we get:
P(B & S)/P(B & NS)=(1/2)/(1/8)
=4
Thus, 4 is the new odds that the box picked is the special one.
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please help ASAP
A toy cannon ball is launched from a cannon on top of a platform.
The function h(t) =-5+ 2 + 20+ + 4 gives the height, in meters, of the ball t seconds after it is launched.
Write and solve an inequality to find the times where the ball is more than 12 meters above the ground.
Round to the nearest hundredth.
Answer:
hello\\
Step-by-step explanation:
The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) Mark this and return
From the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).
As given in the question,
Table which represents the system of linear function are as follow:
table 1:
x: -4 -2 0 2
y: 26 18 10 2
table 2:
x: -4 -2 0 2
y: 14 8 2 -4
For table1 :
System of linear function:
(x₁ , y₁) = (0,10)
(x₂ , y₂) = (2, 2)
Equation of linear function:
(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)
⇒(y -10)/ (x-0) =(2-10)/(2-0)
⇒y-10 =-4(x)
⇒ y = -4x +10 __(1)
For table2 :
System of linear function:
(x₁ , y₁) = (0,2)
(x₂ , y₂) = (2, -4)
Equation of linear function:
(y -y₁)/ (x-x₁) =(y₂ -y₁)/(x₂ -x₁)
⇒(y -2)/ (x-0) =(-4-2)/(2-0)
⇒y-2 =-3(x)
⇒ y = -3x +2 __(2)
Solve system of linear function (1) and (2) we get,
-4x +10 = -3x +2
⇒4x -3x =10 -2
⇒x =8
⇒y = -4(8) +10
= -22
(x, y) = (8 ,-22)
Therefore, from the given table which represents the two system of linear function is given by y = -4x +10 and y = -3x +2 , the solution of the system of linear function is (x, y) = (8 , -22).
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Answer:
D
Step-by-step explanation:
trust
18=0.125 . Which calculation is NOT a way to find 58?
The calculation that is not a way to find a fraction of 5/8 is:
1 - 0.125.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
The terms are classified as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Hence the numeric value of the fraction 5/8 presented in this problem is given as follows:
5/8 = 0.625.
The calculation that is not a way to find the fraction of 5/8 is the only expression that has a different value than 5/8.
The expression with a different value is of:
1 - 0.125 = 0.875.
As the value of 0.875 is different than the value of 0.625 equivalent to the fraction of 5/8.
Missing InformationThe complete problem is given by the image at the end of the answer.
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v = u + at
u = 2 a = -5 t = 1/2
Work out the value of v
Answer:
-.5
Step-by-step explanation:
u=2+-2.5=.5
How do i solve this one ? (Equilateral Angle ?)
An elevator can carry 28 adult or 30 children at one time during the course of the day the elevated acre carries a full passenger load 74 times all passengers were adults how many more people would the elevator carry then if all passengers were adults
The number of people the elevator would carry more if all passengers were children would be = 148 extra people.
What is an elevator?An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.
The number of adults the elevator can carry at a time = 28 adults.
The number of children the elevator can carry at a time = 30 children.
During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.
The number of people the elevator would carry more if all the passengers where children would be;
30 × 74 = $2,220
2,220 - 2,072 = 148 extra people.
Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.
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Evaluate the problem
5/8 - 1/4.
Answer:
5/8 - 1/4 = 3/8
Step-by-step explanation:
Convert to equivalent fractions by multiplying the top and bottom of 1/4 by 2, in order to match 5/8's denominator.1 x 2 = 2, 4 x 2 = 8, so we're left with 2/8
subtract as normal, top by top.5 - 2 = 3.therefore 5/8 - 1/4 = 3/8Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
to be able to compare fractions or add/subtract them directly, we need to bring them all to the same denominator (the bottom part of the fractions).
it is usually easier to bring the smaller to a larger number than the other way around, because of the existing numerators (the top part of a fraction).
since we are dealing with fractions (divisions !), the best way to manipulate them is by multiplying or dividing them by a factor.
so, what do we need to multiply with 4 to get 8 (the other denominator) ?
2, as 4×2 = 8.
aha.
but now careful, we cannot just multiply the denominator by 2. that would change the value of the whole original fraction.
we have to multiply denominator AND numerator by the same factor. that way the original value of the fraction remains the same, because we are essentially multiplying the whole fraction just by 1.
so,
1/4 × 2/2 = 2/8
and now we can easily use it in a calculation with other 8ths :
5/8 - 2/8 = 3/8
I NEED THIS GRAPH SOLVED ASAP
I need either the function in factored form or the roots(with multiplicity) or standard form thank you and please!!!
Answer:
if the root is 10 then the function is ²✓5
Suppose that y varies directly with .x, and y=-8 when x=2.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 5.
OC
Answer:
y = -4x
b. y = -20.
Step-by-step explanation:
y = kx
-8 = 2k
k = -8/2
k = -4
y = -4x
y = kx
y = -4 × 5
y = -20
Can anyone state the vertex of the graph?
There is no vertex in the graph and the transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
In this case, there is no maximum or minimum in the graph
This means that that there is no vertex in the graph
The transformationHere, we have:
We can see that:
The graph is 4 units to the left of the origin and 2 units below the origin
This means that the function has been shifted down and shifted to the left
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1. Given that p=5xy + q, express y in terms of p,q and x.
2.Given that p=7x +4q, express x in terms of p and q.
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
_♡_mashi_♡_
The equation p=5xy+q can be expressed in terms of p,q, and x as y = (p-q)/5x.
The equation p=7x+4q can be expressed in terms of p and q as x = (p-4q)/7x.
Given in the first equation, p = 5xy+q
p-q=5xy
y=(p-q)/5x
Here we need to express y in terms of p,q, and x so we need all these three variables on one side of the equation and y on the other side. Initially we more q to the left-hand side of the equation which makes it p-q=5xy. Now we divide the left-hand side and the right-hand side by 5x making the equation y = (p-q)/5x.
Similarly in the second equation, p = 7x+4q
p-4q = 7x
x = (p-4q)/7
Here we need to express x in terms of p and q so we need all these two variables on one side of the equation and the term x on the other side. First, we will move 4q to the left-hand side of the equation which will make it p-4q=7x. Now, we will divide the whole equation by 7 which will make the equation x = (p-4q) / 7.
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Write the equation of the circle in standard form that has the following: Center (-5,7) and Radius = 4
Answer:
[tex](x+5)^{2}+(y-7)^{2} =16[/tex]
Step-by-step explanation:
The Standard Form of Circle Equation whose Center is at ( h , k) and Radius of r is given by
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
So for our Question
we have ( h , k ) = ( -5 , 7 ) and r = 4
By substitution
[tex](x-(-5))^{2}+(y-7)^{2} =4^{2}[/tex]
Simplify [tex](x+5)^{2}+(y-7)^{2} =16[/tex]
12. 15-2x) ≤ 11 What is the solution set to the inequality above?
its 4 cause i have done this
First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:
15 - 2x - 15 ≤ 11 - 15
Simplifying the left side, we get:
-2x ≤ -4
Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:
-2x/-2 ≥ -4/-2
Simplifying, we get:
x ≥ 2
Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.
add me cuties
Find the slope and the y-Intercept of the line.
-5x + 4y = -3
Write
your answers in simplest form.
Answer:
slope=5/4 y intercept=-3/4
Step-by-step explanation:
put it into slope intercept form y=5/4x-3/4
pull out 5/4 as slope and -3/4 as y intercept
what is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet? the total surface area is about square feet.
Using the concepts of equilateral triangle, we got that 107 square feet is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet.
We have :
Base (b) = 6 feet
Slant height (l) = 10 feet
The lateral surface area is calculated using:
L = (3/2)× Length × Breadth
So, we have:
L = (3/2) ×6 × 10
=>L=(3×3×10)
=>L=90 square feet.
The total surface area is calculated using:
T=Lateral surface area of the wall + area of equilateral triangle
=>T=L+ (√3/4)b²
So, we have:
T = 90 + (√3/4)×(6×6)
=>T=90+(3×3×√3)
=>T=90+9√3
=>T=107 square feet (approx)
Hence, the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet is 107 square feet.
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Find the equation of the line shown in the pic (please help)
Answer:
-1/4 * x + 2
Step-by-step explanation:
first figure out the slope. You can easily read the point where the graph is crossing the y axis. From there, more right and read how much the graph goes up wor down. You see the graph goes down, so you know the slope must be a negative value. To get the full value of the slope, you need to work out how much the graph goes down if you go 1 right. So when you move 1 right from the point 2 on the y axis, you can't easily read how much it went down. But you can see that the graph passes the pont of x = 4 and y = 1. So it went 4 right and 1 down. To only got 1 down you divide y/x -> 1/4
So the slope is -1/4
and because the graph hits the y axis at 2 and not at 0, you need to add +2 to the equation.
A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs.
Which answer is the most reasonable estimate of the total number of screws they need to order?
the company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48
A, B and C are points on the circumference of a circle.
XY is a tangent to the circle at the point A.
Angle BAY = 72° and angle ABC = 54°.
Prove that triangle ABC is an isosceles
triangle.
You must give a reason for any statement
that you make or any calculation that you
carry out.
By using tangent property of circle, it has been proved that [tex]\Delta[/tex] ABC is isosceles
What is tangent to a circle?
At first it is important to know about circle.
Circle is a two dimensional round figure in which every point of the circle maintains a fixed distance from a point known as the center. The fixed distance is called the radius of the circle.
The straight line which touches the circle at any point is known as the tangent to a circle.
Tangent property of circle is used here
[tex]\angle BAY = 72^{\circ}[/tex]
[tex]\angle ABC = 54^{\circ}[/tex]
[tex]\angle ACB = 72^{\circ}[/tex] [Angle in alternate segment are equal]
[tex]\angle BAC = 180 - (54 + 72)\\[/tex] [Sum of three angles of a triangle is 180°
= 180 - 126
= 54°
[tex]\Delta ABC[/tex] is isosceles
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what value of x will make the triangles similar by the sss similarity theorem? what value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
SSS Similarity Theorem: What is it?
The SSS similarity theorem is used to determine whether or not two triangles are similar.
The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.
The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.
So, according to the SSS similarity theorem,
x/35 = 44/20
x =44 *35 /20
x =77
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
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Answer:28
Step-by-step explanation:
Given that 27 ^-1/3 = 9^1/4÷ 3^x+1
find the exact value of x.
Answer:
decimal form> -4.87577494
Exact form> -In(212)/In(3)
For f(x)=3x^2 – x+5, find the following 2f(–3) – f(4)=
Answer:
33
Step-by-step explanation:
evaluate f(- 3) by substituting x = - 3 into f(x)
f(- 3) = 3(- 3)² - (- 3) + 5 = 3(9) + 9 + 5 = 27 + 14 = 41
evaluate f(4) by substituting x = 4 into f(x)
f(4) = 3(4)² - 4 + 5 = 3(16) + 1 = 48 + 1 = 49
Then
2f(- 3) - f(4) = 2(41) - 49 = 82 - 49 = 33
-34, -21, -8.5 Complete the recursively defined function to describe this sequence.
The recursive definition of the arithmetic sequence -34, -21, -8 is:
f(1) = -34.f(n + 1) = f(n) + 13.What is an arithmetic sequence?It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
An arithmetic sequence can also be defined recursively, as follows:
[tex]f(1) = a_1[/tex]f(n + 1) = f(n) + d.In this problem, the sequence is given as follows:
-34, -21, -8.
Hence the first term and the common ratio are given as follows:
First term: -34.Common ratio: 13, as each term is the previous term added to 13.Hence the recursive definition of the sequence is:
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united airlines flight 179 is a nonstop flight from boston to san francisco. during 2016 the mean length of time for all flights was 357.9 minutes and population standard deviation was 20.18 minutes. you want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018. what is the minimum size of the sample needed in order to have a margin of error of two minutes or less?
Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.
We have mean as 357.9minutes and standard deviation as 20.18 minutes.
To have the margin error 2 minutes or less than it we need to take
Z-score of the given sample distribution which is given by:
Z=(X-μ)/σ
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .Here ,μ=357.9,σ=20.18,X=?,Z=95/100
=>95/100=(X-357.9)/20.18
=> -0.95×20.18=X-357.9
=>X=-357.9+0.95×20.18
=>X=-357.9+19.171
>X=-338.729
When X=-338.729,the p score is around 79.
Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.
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There are 14 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
There are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
Permutation is the arrangement of objects in a specific order. It is the number of different ways in which a set of objects can be arranged in a specific order. The formula to calculate permutation is:
[tex]P(n, r) = n! / (n - r)![/tex]
Permutations are commonly used in mathematics, science, and engineering, and are useful for solving problems that involve counting the number of possible arrangements of objects or events.
We can use the formula for permutations to find the number of ways to choose the four officers from a group of 14 students.
The number of permutations of n objects taken r at a time is given by:
[tex]^nP_r = n! / (n - r)![/tex]
where n! denotes n factorial, which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
In this case, we want to choose 4 students from a group of 14, and the order in which they are chosen matters (since we are electing them to specific positions). So we have:
n = 14
r = 4
The number of ways to choose the four officers is therefore:
[tex]^1^4P_4 = 14! / (14 - 4)! = 14 \times 13 \times 12 \times 11 = 24,024[/tex]
Therefore, there are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
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survey of 397 children given at a local elementary school showed that 175 like chocolate ice cream 225 like pistachio ice cream, and 97 do not like chocolate or pistachio ice cream. how many children like at most one kind of ice cream mentioned in the survey?
297 children like at most one kind of ice cream.
Total number of children = 397
Let C and P be the number of children like chocolate and pistachio ice cream respectively.
n(C) = 175
n(P) = 225
The number of student do not like chocolate or pistachio ice cream is,
n(P' and C') = 97
n(P or C)' = 97, by De Moivre's theorem
n(P or C) = 397-97 = 300
n(P) + n(C) - n(P and C) = 300
175 + 225 - n(P and C) = 300
400 - n(P and C) = 300
n(P and C) = 100
So the required number of children like at most one kind of ice cream = 397-n(P and C) = 397-100 = 297
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Evaluate to find the value of x.
-2x - 6 = -18
Answer:
x=6
Step-by-step explanation:
-2x-6=-18
+6. +6
-2x=-12
/-2. /-2
x=6
Hopes this helps please mark brainliest
consider the matrix
what is the value of |C|
If the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12
The given matrix is
C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]
The matrix is defined as the set of numbers that arranged in rows and columns to form a rectangular array. The numbers in the matrix are called the elements of the matrix.
Here we have to find the determinant of the matrix C
The determinant of the matrix is defined as the scalar value calculated for a given square matrix.
The determinant of C is represented by |C|
Then,
C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex]
|C| = -6×4 - 6×-2
= -24 -(-12)
= -24 + 12
= -12
Hence, if the matrix C = [tex]\left[\begin{array}{cc}-6&6\\-2&4\end{array}\right][/tex], then the determinant of the matrix |C| = -12
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x-12.5=95 ''solve'' ..................
Using the simplification, the solution of the given expression for x is 107.5.
In the given question we have to solve the given expression.
The given expression is x-12.5=95.
Now solving the expression.
x-12.5=95
To solve the expression we add 12.5 on both side
x-12.5+12.5=95+12.5
x=107.5
The solution of the given expression for x is 107.5.
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