The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.
Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.
To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;
skip interval = population / target sample size
Substituting the given values;
skip interval = 2000 / 50
skip interval = 40
Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.
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15. Explain the steps in finding the midpoint of the points (-1,2) and (3,-6). Then state what the midpoint is.
The given points are (-1,2) and (3,-6).
We use the midpoint formula
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Where,
[tex]\begin{gathered} x_1=-1 \\ x_2=3 \\ y_1=2 \\ y_2=-6 \end{gathered}[/tex]Replacing all these values, we have
[tex]\begin{gathered} M=(\frac{-1+3}{2},\frac{2-6}{2}) \\ M=(\frac{2}{2},\frac{-4}{2}) \\ M=(1,-2) \end{gathered}[/tex]Therefore, the midpoint is (1,-2).I need help please pronto! This is due today!
The function at x = -2 has a value of -1
How to evaluate the function?The graph represents the given parameter
From the question, we understand that:
The graph is a piecewise function
This means that there are breaks in the values represented on the graph
The x value is given as
x = -2
When this value is traced on the graph, we have
When x = -2, y = -1
When x = -2, y = 7
By considering the endpoint values of the domain, we have
When x = -2, y = -1 (inclusive)
When x = -2, y = 7 (not inclusive)
This means that
When x = -2, y = -1
Hence, the value of the function is -1
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Can you help me with this question Name the Domain.
Solution:
Given:
[tex]f(x)=\frac{x+1}{x^2-6x+8}[/tex]The domain is the set of all possible x-values (inputs) that will make the function (output) to be real and defined.
To get the domain of the function given, we need to get the undefined or singularity points.
[tex]\begin{gathered} f(x)\text{ will be defined only when the denominator is equal to 0.} \\ \text{Hence, singularity or undefined points will occur when,} \\ x^2-6x+8=0 \\ \text{Solving to get these points,} \\ x^2-4x-2x+8=0 \\ x(x-4)-2(x-4)=0 \\ (x-2)(x-4)=0 \\ x-2=0 \\ x=0+2 \\ x=2 \\ \\ OR \\ x-4=0 \\ x=0+4 \\ x=4 \\ \\ \text{Hence, singularity occurs at;} \\ x=2,x=4 \end{gathered}[/tex]
The domain of the function will exist when;
[tex]\begin{gathered} x\ne2,x\ne4 \\ \\ \text{Hence, the solution to the domain of the function is;} \\ x<2\text{ OR }24 \end{gathered}[/tex]Hence, the solution to the domain is;
[tex]x<2\text{ OR }24[/tex]In interval notation, the domain is;
[tex](-\infty,2)\cup(2,4)\cup(4,\infty)[/tex]Therefore, the final answer is;
All real numbers except 2 and 4.
maria and cindy both arrived early for work. cindy arrived 23 1/2 minutes earlier than maria. if the total number of minutes that they were early was 38, find how many minutes each girl arrived ahead of time
If Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes, then Maria arrived ahead of stipulated time by 14.5 minutes, while Cindy arrived earlier by 38 minutes, determined by solving a linear equation.
As per the question statement, Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes.
We are required to calculate the individual minutes by which, each of Maria and Cindy arrived earlier by.
To solve this question, let us assume that Maria arrived early by "x" minutes, and already given that Cindy arrived 23(1/2) minutes earlier than maria.
Since the total number of minutes that they were early by, was 38 minutes, we can form a linear equation, based on our assumption and the condition provided in the question statement, which goes as,
[{x + 23(1/2)} = 38]
Or, [(x + 23.5) = 38]
Or, [(x +23.5) = 38]
Or, [x = (38 - 23.5)]
Or, [x = 14.5]
That is, Maria arrived ahead of stipulated time by 14.5 minutes.
Linear Equation: A linear equation is a mathematical statement expressing the equality between two expressions containing variable(s), and it gives a straight line when plotted on a graph.To learn more about Linear Equations, click on the link below.
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the product of (6xy-5)(6xy+5)
Answer: 36x^2y^2 - 25
Step-by-step explanation:
(6xy-5)(6xy+5)=
(6xy*6xy)+(6xy*5)+(6xy*(-5))+(-5*5)=
36x^2y^2 + 30xy + (-30xy) + (-25)=
36x^2y^2 + (-25)=36x^2y^2 - 25
Answer:
[tex]\bf36x^2y^2-25[/tex]
Step-by-step explanation:
[tex]\boxed{\displaystyle\\(a-b)(a+b)=a^2-b^2}\\\\(6xy-5)(6xy+5)=(6xy)^2-5^2=36x^2y^2-25[/tex]
plse answer this quickly:
150 adults complete a survey
80 are women
write the ration men:women in its simplest form
Rewrite the following equation of a line to express it in slope-intercept form:
4x - 2y = 14
A:2y=14-4x
B:x=5y+3.5
C:y=2x-7
D:y=-2x-7
Answer:
C
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
4x - 2y = 14 ( subtract 4x from both sides )
- 2y = - 4x + 14 ( divide through by - 2 )
y = 2x - 7 ← in slope- intercept form
4.04 divided by 50.5
Answer:204.2
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
1) Make the divisor a whole number by moving the decimal point.
[tex]505 \sqrt{4.04} [/tex]
2) Move the decimal point in the dividend the same number of places.
[tex] 505\sqrt{40.4} [/tex]
3) Divide
[tex]505 \sqrt{40.4} = 12.5[/tex]
4) Line up decimal point in the quotient with decimal point in the dividend.
[tex]4.04 \div 50.5 = 40.4 \div 505 = 0.08[/tex]
15. Georgia works at the circus selling cotton
candy. The table shows the linear relationship
between the number of
cotton candy bags remaining Hours
in her stand as a function of
the hours she has been
selling. Write a linear
equation in slope-intercept/
form to model the situation.
3
5
12
16
Cotton
Candy
90
78
36
12
The linear equation in slope-intercept/ form to model the situation is 6x + y - 108 = 0
Given:
Georgia works at the circus selling cotton candy. The table shows the linear relationship between the number of cotton candy bags remaining Hours in her stand as a function of the hours she has been selling.
Table :
cotton candy
3 90
5 78
12 36
16 12
Let x,y be cotton,candy.
(x1,y1) = (3,90)
(x2,y2) = (5,78)
slope m = y2-y1/x2-x1
= 78 - 90/5 - 3
= -12/2
m= -6
Slope intercept form y=mx+c
y = -6x + c
substitue (3,90) in y = -6x + c
90 = -6(3) + c
c = 108
substitute c value in y = -6x + c
y = -6x + 108
6x + y - 108 = 0
Therefore the linear equation in slope-intercept/ form to model the situation is 6x + y - 108 = 0.
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What is question 7......
The rule of the rotation to the right is a rotation by 90° clockwise about the origin.
We need to describe the rule of the rotation to the right.
A figure and its rotation keep the same shape and size but face in a new direction. A figure can be rotated in either a clockwise or counterclockwise direction. The angle of rotation is the measure of how far a figure is rotated about its centre of rotation. The angle of rotation is often expressed in degrees. We specify the rotation's degree measure and direction.
If the rotation is applied to the right, it means a rotation of 90° in a clockwise direction about the origin.
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Give answer to 1 decimal place
The side CD of the right angle triangle is 8.7 cm.
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The side CD can be found using trigonometric ratios to find length CB and DB, then subtract the length DB from CB to get the required length CD(x).
An angle bisector bisect ang angle into two equal halves.
Therefore, AD is an angle bisector that bisects the angle CAB.
Hence,
∠CAD = 19°
∠DAB = 19°
using trigonometric ratios,
tan 19 = opposite / adjacent
tan 19 = DB / 20
DB = 20 tan 19
DB = 6.88655226579
DB = 6.887 cm
Therefore,
tan 38° = CB / 20
CB = 20 tan 38
CB = 15.6257125301
Therefore,
CD = CB - DB
CD = 15.626 - 6.887
Therefore,
CD = 8.739
CD = 8.7 cm
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based on previous data, an electronics manufacturer knows that 2\%2%2, percent of its computer processors are defective. suppose the manufacturer randomly selects these processors until one is found with a defect. let ddd represent the number of processors it takes to find the first one that is defective. assume that defective processors are independent. is ddd a binomial variable? why or why not?
X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.
What is a Binomial Distribution?
The number of successes and failures in a series of n (a finite value) independent trials or experiments is represented by a binomial distribution.
Given that the producer of electronics is aware that 2% of computer processors are faulty, and
The random variable X represents the number of processors it takes to find a bad processor.
X does not constitute a binomial variable in this situation.
In the example above, the amount of failures (processors) is being counted up until the initial success (a malfunctioning processor) is attained.
X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.
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Suppose that W and X are points on the number line.
If WX=12 and W lies at 7, where could X be located?
If there is more than one location, separate them with commas.
Suppose that W and X are points on the number line. The X can be located as 21 or -5.
What is a line?A line, according to Euclid, is a segment connecting two points that may be stretched forever in any direction.'
There is currently a lack of information to determine whether or not points W or X came first in time.
Consider two examples
The first scenario: W predates X.
=7-12
=-5
Example 2: If X comes before X, then X is at
=|7+12|
=19
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Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
Identify any values of data that might affect the statistical measures of spread and
center
A. The zero hour mark on both plots prevents the graphs from being balanced.
B. The median is near the center of the IQR for both males and females.
C. There is not enough evidence to see any effects on spread or center.
D. The males have a suspected significant high outlier.
The values of data that might affect the statistical measures of spread and center is that: D. The males have a suspected significant high outlier.
What is a box and whisker plot?A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.
In Mathematics, the five-number summary of any box and whisker plot include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box and whisker plots which represent the number of hours the students worked in summer jobs, we can reasonably infer and logically deduce that male students have a significant high outlier because the maximum value (37) is very far from the third quartile (15).
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HELPP!!!! ASAP!! 35 POINTS!!!!
Answer:
$2
Step-by-step explanation:
The rate of change is equal to "rise over run"
the rise is: 20
the run is: 10
20/10=2
NEED HELP FAST!Use the drop-down menus to complete each equation so the statement about its solution is true.
The correct options that gives the required type of equation solution to the system of equations are;
No solution;
2•x + 9 + 3•x + x = 6•x + 5
One solution;
2•x + 9 + 3•x + x = 5•x + 9
Infinitely many solutions;
2•x + 9 + 3•x + x = 6•x + 9
What are the types of solutions to a system of equations?The types of solutions of a system of equations are; no solution, infinitely many solutions, one solution
The given expression is; 2•x + 9 + 3•x + x
The above expression when given as the right hand side of an equation gives;
2•x + 9 + 3•x + x = _x + _No solution;
A situation where the right and left hand side of an equation has no solution is where they form lines that do not meet or intersect.
Two lines do not meet when they are parallel, that is when their slopes are the same and however, their y–intercepts are different
Which gives;
Simplifying the expression on the right into the form, m•x + c, where m represents the slope, gives;
2•x + 9 + 3•x + x = 6•x + 9
An expression that can be written on the left that is parallel but does not intersect with the graph of the expression on the left is therefore; 6•x + 5
The first equation is therefore;
No solution;
2•x + 9 + 3•x + x = 6•x + 5One solution;
When the equation has one solution it means that the straight line graphs of the left and right sides intersect once.
Therefore, the lines are not parallel and therefore, the slopes are different, which gives the expression on the right as follows;
2•x + 9 + 3•x + x = 5•x + 9Infinitely many solutions;
When two equations have infinitely many solutions, we have that the equations meet at infinitely many points, such that the equations are essentially the same, which gives the correct option as follows;
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0, 6) and (3, 0). What is the slope?
Answer:
m=-2
Step-by-step explanation:
y=mx+b you have to use (y2-y1)/(x2-x1)
The height of men is a normally distrubuted variable with a mean of 68 inches and a standard deviation of 3 inches.**Round answers to ONE decimal place**a.) What is the minimum height you could be to be considered in the top 10% of tallest men? b.) What is the tallest you could be to be considered in the shortest 15% of men?
For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.
The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:
[tex]z=\frac{x-\mu}{\sigma}[/tex]For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:
[tex]z=1.29[/tex]Now we can use the z-score expression to find the value of x. We have:
[tex]\begin{gathered} 1.29=\frac{x-68}{3} \\ x-68=3.87 \\ x=3.87+68 \\ x=71.87 \end{gathered}[/tex]The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.
For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:
[tex]z=-1.04[/tex]Now we need to use the z-score expression to determine the height:
[tex]\begin{gathered} -1.04=\frac{x-68}{3} \\ x-68=-3.12 \\ x=68-3.12 \\ x=64.88 \end{gathered}[/tex]In order to be considered among the smallest men, someone needs to be 64.88 inches tall.
I tried everything but couldn't figure out what x equals.
Answer:
x = 17Step-by-step explanation:
The two marked angles are same side interior angles.
As per definition, these angles are supplementary, in other words they sum to 180°.
Show this as equation and solve for x:
6x + 8 + 4x + 2 = 18010x + 10 = 18010x = 170x = 17Answer:
✨ sorry i need points, bro-♡
Step-by-step explanation:
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
Answer: Quadrant 2
Step-by-step explanation: well quadrant 3 is the bottom right corner, and clockwise would put it up a quadrant, which is quadrant 2.
The school decides to put a chain link fence around a soccer field
area. The dimensions are 13 yards by 13 yards. If the contractor
charges $6 per yard, what is the total fence cost?
Reason:
L = length = 13
W = width = 13
The rectangle has a perimeter of 2*(L+W) = 2*(13+13) = 52 yards. This is the amount of fencing needed. Since the contractor charges $6 per yard of fencing, the total cost is 52*6 = 312 dollars
A boutique is offering a 15% discount for
cash. Calculate the cash price for a dress
with a marked price of $12500.
$12500 - 30%
=
$8750
Step-by-step explanation:
10% of $12500 = $1250
10% × 3 = 30% = $1250 × 3 = $3750
30% = $3750
$12500 - $3750 = $8750
The cargo of the truck weighs no more than 2,400 pounds.
Answer:
give me the details then I might be able to actually answer it -_-
Step-by-step explanation:
Which are the foci of the hyperbola represented by x2-3y2 + 12 = 0?
(0, -4) and (0,4)
(0, -2) and (0, 2)
(-2, 0) and (2, 0)
(-4, 0) and (4,0)
The foci of the hyperbola represented by x² - 3y² + 12 = 0 is; (0, -4) and (4, 0)
What is the Foci of the Hyperbola?The general form of equation of a vertical hyperbola is expressed as; (y²/a²) + (x²/b²) = 1
Some of the properties of a vertical hyperbola are;
Its center is at (0, 0)Its' foci is given by (0, -ae) and (ae, 0)Its' vertices is given by (0, -a) and (0, a)Its' eccentricity is given by e = [√(a² + b²)]/aWe are given the equation of the hyperbola as;
x² - 3y² + 12 = 0
Converting this equation to the general form of a vertical hyperbola, we have; x² - 3y² = -12
Divide through by -12 to get;
(y²/4) - (x²/12) = 1
From the general form, we can say that;
a² = 4
b² = 12
Thus;
Eccentricity; e = [√(a² + b²)]/a = e = [√(4 + 12)]/4
e = 1
Thus, the foci is;
(0, -(4 * 1)) and ((4*1), 0) = (0, -4) and (4, 0)
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There is a line that includes the point (6,1) and has a slope of 1/4 . What is its equation in point-slope form?
Answer:
y - 1= 0.25(x - 6)
Step-by-step explanation:
because.
if maggie corrected her mistake, what would be the correct answer for x?
The correct value of x will be 9 as it is alternate angles which are equal so 4x+2=7x-25 for the given set of intersecting lines.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
What is alternate angles?When a transversal intersects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar.
Here,
4x+2=7x-25
3x=27
x=9
The value of x would be 9 and the value of angle is 38°.
Given that the alternate angles are equal, 4x+2=7x-25 for the given set of intersecting lines, the proper value of x will be 9.
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Some claim that the Internet both invades and compromises one’s right to privacy. However, this is ridiculous. The Internet is only as invasive as one allows it to be, particularly since there are laws to protect people’s privacy. Exercising caution when supplying personal information online is the most vital step in protecting one’s privacy. Any information you do not feel comfortable sharing online should not be shared, and sensitive information should only be provided to trusted organizations. Additionally, some states have already enacted privacy laws that model the Federal Privacy Act of 1974, ensuring that information collected for one purpose may not be used—or sold—for other purposes without first notifying the individual to whom the data belongs. The first and most important protector of an individual’s information is that individual. People whose personal information is not properly protected only have themselves to blame.
What evidence weakens the counterclaim in this paragraph?
The Internet is only as invasive as one allows it to be.
Exercising caution is the best way to protect one’s privacy online.
Some states have already enacted online privacy laws.
It is the individual’s fault when personal information is unprotected.
This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.
What is counterclaim evidence?
A counterclaim is a response to a claim that is made to demonstrate that the assertion is false.As a result of this and based on the snippet provided, it is clear that the assertion that certain states have passed online privacy regulations undermines the counterclaim of the paragraph.
This is due to Internet users' privacy is allegedly being violated, and there are no regulations in place to defend people's rights to online privacy.
This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.
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While measuring a cloth of length 1.5 meters, it wasmeasured as 1.53 meters. Find the percentage error inmeasuring the cloth.
we have that
1.5 meters represents 100%
so
Applying proportion
Find out how much percentage represents the difference (1.53-1.50=0.03 m)
100/1.5=x/0.03
solve for x
x=(100/1.5)*0.03
x=2%
therefore
the answer is 2%10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has randomly changed his/her seat, the 10th will be able to sit on his/her original seat?
The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9
Probability :
In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.
Probability of an event,
P(E) = No of favorable outcomes / total number of outcomes
Here we have,
10 people always get on a bus in the same order and sit in the same places.
The 1st person has randomly changed his/her seat
Except for 1 remaining number of seats is 9
If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9
In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats
Therefore,
The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7
From the above observations,
The probability that the 10th will be able to sit on his/her original seat
= 7 / 9
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Which expression is equivalent to 3x+4(3x+2) Responses
On simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.
Here, we are given an expression- 4(3x + 2)
As we can see the expression has one variable, that is, x and rest all are constants.
Opening up the bracket and multiplying the constant term we get-
4*3x + 4*2
= 12x + 8
Since, only the like terms can be added together, we cannot simplify this expression further as they are not like terms, one is a constant and the other one is a variable.
Thus, we find that on simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.
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Your question was incomplete. Check for full content below-
Which expression is equivalent to 4(3x + 2)?
A) 7x + 6
B) 7x + 6
C) 12x + 6
D) 12x + 8
