Yes, the probability approaches each time will result in getting a sample that is representative of the population of that group class.
Why does the entire sample need to be an absolute representative of the population?If you are going on and properly conducting the specific research on a specific population, you will totally want to make sure that your taken sample of that population is absolutely representative.
If in any case your sample is a kind of representative of your total population, you will be able to confidently take up and generalize the results of your study to that of the population.
How to determine if a sample is absolutely representative of the population?In order to be a representative sample, the sample of the group must represent the total population as a whole.
For instance, if the researcher’s population of absolute interest has 60% of people of total ages 18-25 and 40% of the total people ages from about 26-40, then the representative sample must also absolutely reflect this ratio.
Is there the single one way of ensuring that a sample is absolutely representative of the population?The best way of ensuring a representative sample is to have a complete list (i.e., sampling frame) of all the elements in the present population and know that each and every element (e.g., people or present households) on the list that has a nonzero chance (but then it is not necessarily required to be an equal chance) of being included in the entire sample.
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Evaluate the expression.3 – 5 (11 + 4) = 52
In order to evaluate this expression, let's calculate the operations in the left side and compare the final value with the value in the right side:
[tex]\begin{gathered} 3-5(11+4)=52 \\ 3-5\cdot15=52 \\ 3-75=52 \\ -72=52 \end{gathered}[/tex]Since the values don't match, so the expression is FALSE.
The entire graph of the function g is shown in the figure below.
Write the domain and range of g using interval notation.
(a) domain=
(b) range =
The tree diagram represents an experiment consisting of two trials
What is P(A)
The value of probability P(A) is 0.60
How to determine the probability?The clear tree diagram is added as an attachment
The given parameters from the tree diagram are:
Probability of event A: P(A only) = 0.6Probability of event A: P(A and C) = 0.3Probability of event A: P(A and D) = 0.7The probability is calculated using the following probability formula
P(A) = P(A and D) + P(A and C)
Substitute the known values in the above equation
P(A) = 0.6 * 0.7 + 0.6 * 0.3
Evaluate the products
P(A) = 0.42 + 0.18
Evaluate the sum
P(A) = 0.60
Hence, the value is 0.60
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6.Landscaping Calculate the area (in square feet) of a flower garden shaped like a circularsector with radius 60 ft and central angle 40 degrees.
The area of the circular sector is given as:
[tex]\begin{gathered} \text{Area}=\frac{\theta}{360}\times\pi r^2 \\ \end{gathered}[/tex]Given that, radius= 60ft and angle =40 degrees
[tex]\begin{gathered} \text{Area}=\frac{40}{360}\times3.14\times60\times60 \\ \text{Area}=\frac{452160}{360} \\ \text{Area}=1256\text{square f}eet \end{gathered}[/tex]9m^2 - 49factor each expression. Be sure to check for the greatest common factor first.
We need to factor the following polynomial:
[tex]9m^2-49[/tex]We can see that:
[tex]9m^2=3^2m^2=(3m)^2[/tex]And
[tex]49=7^2[/tex]Then, we can use the following factor rule:
[tex]x^2-y^2=(x-y)(x+y)[/tex]We have that:
[tex]x=3m,y=7[/tex]Then, we can factor the polynomial as follows:
[tex]9m^2-49=(3m)^2-(7)^2=(3m-7)(3m+7)[/tex]In summary, we have:
[tex]9m^2-49=(3m-7)(3m+7)[/tex]Catalina is moving to a new house. Her old house is 3.5 miles away from her new house. How many feet are between Catalina’s old and new house?
18480 feet are between her old and new house
Can someone tell me how to solve it with a picture on how you did it. Teacher told me to show my work. It hard pls Helppp
The solution to the given inequality in interval notation is: -6 ≤ v ≤ 3
How to solve the given inequality?In this exercise, you're required to determine all the values of v that simultaneously satisfy given inequality. First of all, we would have to eliminate the fraction on the left-hand side of the inequality by adding using an appropriate lowest common denominator of 3 as follows:
(2 × |4v + 6|)/3 - 2/1 ≤ 10
[(2 × |4v + 6|) - (3)2]/3 ≤ 10
[(2 × |4v + 6|) - 6]/3 ≤ 10
Cross-multiplying, we have:
(2 × |4v + 6|) - 6 ≤ 10 × 3
(2 × |4v + 6|) - 6 ≤ 30
Adding 6 to both sides, we have:
(2 × |4v + 6|) - 6 + 6 ≤ 30 + 6
(2 × |4v + 6|) ≤ 36
Dividing both sides by 2, we have:
(2 × |4v + 6|)/2 ≤ 36/2
|4v + 6| ≤ 18
Evaluating the absolute value function, we have:
4v + 6 ≤ ±18
For the positive interval, we have:
4v ≤ 18 - 6
4v ≤ 12
v ≤ 12/4
v ≤ 3.
For the negative interval, we have:
4v ≥ -18 - 6
4v ≥ -24
v ≥ -24/4
v ≥ -6
Lastly, we would express the solution as an interval notation as follows:
-6 ≤ v ≤ 3
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Roots of Quadratics 50 PTS!!!
The values of k for the different quadratic equation solutions are as follows
a the equation 2x² - x + 3k = 0 has two distinct real roots
k < 1/24b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots
k = 3/5ci the equation -x² + 3x + (k + 1) = 0 has real roots
k > -3.25d the equation 3kx² - 3x + 2 = 0 has no real solutions
k < ± 1.633How to solve quadratic equations to get different answersQuadratic equations of the form ax² + bx + c = 0 is solved using the formula
[tex]-b+\frac{\sqrt{b^{2}-4ac } }{2a}[/tex] OR [tex]-b-\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
The equation b² - 4ac is called the discriminant and it is used as follows
To solve the equation and get two real roots: 2x² - x + 3k = 0
b² - 4ac > 0substituting the values gives
(-1)² - 4 * 2 * 3k > 0
1 - 24k > 0
1 > 24k
divide through by coefficient of k
k < 1/24
To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0
b² - 4ac = 0substituting the values gives
(-2)² - 4 * 5 * (2k - 1) = 0
4 - 40k + 20 = 0
-40k = -24
divide through by coefficient of k
k = 3/5
To solve the equation and get real roots -x² + 3x + (k + 1) = 0
b² - 4ac > 0substituting the values gives
(3)² - 4 * -1 * (k+1) > 0
9 + 4k + 4> 0
4k > -13
divide through by coefficient of k
k > -3.25
To solve the equation and get no real solutions 3kx² - 3x + 2 = 0
b² - 4ac < 0substituting the values gives
(-3)² - 4 * 3k * 2 < 0
9 - 24k² > 0
9 > 24k²
divide through by coefficient of k²
k² < 24/9
k < ± 1.633
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Answer:
ax² + bx + c = 0 is solved using the formula
Step-by-step explanation:
very confused on this , if possible please explain step by step
The resultant of the subtraction of the equation 8x³ + 2x² - 5x -6 from the equation 9x³ + 3x² - 6x + 4 is x³ + x² - x + 10.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
The group's total number of items decreases or becomes lower when we subtract from it.
As per the given equations,
9x³ + 3x² - 6x + 4 and 8x³ + 2x² - 5x -6
The subtraction of both equations will be,
⇒ [9x³ + 3x² - 6x + 4] - [8x³ + 2x² - 5x -6 ]
⇒ 9x³ + 3x² - 6x + 4 - 8x³ - 2x² + 5x + 6
⇒ 9x³ - 8x³ + 3x² - 2x² - 6x + 5x + 4 + 6
⇒ x³ + x² - x + 10.
Hence "The resultant of the subtraction of the equation 8x³ + 2x² - 5x -6 from the equation 9x³ + 3x² - 6x + 4 is x³ + x² - x + 10".
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PLS HELP ME WITH THIS QUESTION ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The value of (x) will be equal to → x = 16 - K.
What is the perimeter?
Perimeter is the measure of the length of the boundary of any two dimensional shape.
Given is a quadrilateral with its sides given.
The perimeter of this quadrilateral will be the sum of the length of its sides. Since, in the question, the final value of perimeter is not given, therefore we will assume it as K. The perimeter will be equal to -
(7x - 1) + (- 8x - 5x) + (6x + 13) + (4 - x) = K
7x - 1 - 8x - 5x + 6x + 13 + 4 - x = K
16 - x = K
x = 16 - K
Therefore, the value of (x) will be equal to → x = 16 - K.
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2 PointsMULTIPLE CHOICEQuestion 42: PracticeWhich statements are true for the decimals 0.04 and 0.004?Choose two correct answers.in Base TenA0.04 is 10 times as much as 0.004.B.0.04 is 100 times as much as 0.004.Etice Solvingс0.004 is 10 the amount of 0.04.uizD0.004 is 100 the amount of 0.04
From the question;
we are given the decimal numbers
[tex]0.04\text{ and 0.004}[/tex]If we consider dividing 0.04 by 0.004 we will have
[tex]\frac{0.04}{0.004}=10[/tex]Therefore, 0.04 is 10 times as much as 0.004
Also, if we consider dividing 0.004 by 0.04 we will get
[tex]\frac{0.004}{0.04}=0.1=\frac{1}{10}[/tex]Therefore, 0.004 is 1/10 the amount of 0.04
Hence
Given the decimals 0.04 and 0.004 we have
1. 0.04 is 10 times as much as 0.004
2. 0.004 is 1/10 the amount of 0.04
which of the relations has a domain of (-5, 0, 5)
Choice A
Is the answer
Based on statistics from a worldwide health organization, in 2005 there were22.6 million people worldwide living with a certain disease, and 1.9 million deaths from the disease. By 2015,the number of people living with the disease had grown to 38.9 million deaths were reported. Find the percent change for each statistic, and write any conclusion you can draw.
Percent change of people living with the disease = 72.1%
Percent change of number of death = 5.2%
Explanation:The Number of people living with the disease increased from 22.6 million in 2005 to 38.9 million in 2015
To get the percentage, we will apply the formula:
[tex]percent\text{ change = }\frac{New\text{ value - Old value}}{Old\text{ value}}\times\text{ 100\%}[/tex][tex]\begin{gathered} new\text{ value = 38.9 million, old value = 22.6 million} \\ percent\text{ change = }\frac{38.9\text{ - 22.6}}{22.6}\text{ }\times100 \\ percent\text{ change = 0.721 }\times\text{ 100\% = 72.1\%} \end{gathered}[/tex]The number of death increased from 1.9 million to 2 million from 2005 to 2015:
[tex]\begin{gathered} new\text{ value = 2 million, old value = 1.9 million} \\ The\text{ percent change = }\frac{2-1.9}{1.9}\times100\text{ \%} \\ The\text{ percent change = 0.052 }\times\text{ 100\% = 5.2\%} \end{gathered}[/tex]Conclusion:
The number of people living with the disease increased drastically within 10 years.
But the percent change in the number of death isn't as high as the number of people living with the disease. It means the disease is highly infectious but has a low death rate
type the correct answer in the Box spell all words correctly which type of coordinates does Andrews. Take Andrew studying mathematics and studying about the (blank (coordinate system in this system the coordinates of the of a point are dependent on the distance of the point from the origin and the angle of the start of the points substance at the origin
Where the coordinates of a points pedepend on the distance to the origin of the coordinate system and also depend on the angle, the coordinate system is a POLAR coordinate system.
a commuter travels 67 km in 32 min .what is it's speed in kilometer per hour?
125.625 kilometers per hour
Explanations:Note:
60 minutes = 1 hour
32 minutes = 32/60 hours
The speed is the distance traveled in 1 hour
Distance = 67 km
Time = 32/60 hours
Speed = Distance / time
[tex]\begin{gathered} Speed\text{ = 67 }\div\text{ }\frac{32}{60} \\ \text{Speed = 67 }\times\text{ }\frac{60}{32} \\ \text{Speed = }\frac{4020}{32} \\ \text{Speed = }125.625\text{ km per hour} \end{gathered}[/tex]What is the equation of the
line that goes through
(-1, 3) and is perpendicular
to y = 4x - 7?
Answer:
Step-by-step explanation:Perpendicular lines have a slope that is the negative reciprocal of the given line.
For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.
For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4
There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?
Your answer would be something like: y = -1/4 x + b
b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.
Given{x=7y-9 2x-14y= -18I think the solution is b? Am I correct?
there are infintely many solutions. The solution set is {(x, y)| x = 7y - 9} or {(x, y)| 2x - 14y = -18 (option B)
Explanation:Given:
x = 7y - 9 . . .(1)
2x - 14y = -18 . . . (2)
To find:
the solution of the system of equations
To determine the value of x and y, we will apply the substitution method:
we will substitute for x in equation (2):
2(7y - 9) - 14y = -18
2(7y) + 2(-9) - 14y = -18
14y - 18 - 14y = -18
14y - 14y - 18 = -18
0 - 18 = -18
-18 = -18
The left-hand side of the equation is equal to the right side of the equation.
when this happens, it is called infinitely many solutions.
Hence, there are infintely many solutions. The solution set is {(x, y)| x = 7y - 9} or {(x, y)| 2x - 14y = -18 (option B)
m^2+5mn+5n^2factor each polynomial completely. If a polynomial is prime, state this.
m²+5mn+5n²
To factor the above, we need two factors of 5n², such the sum gives 5n and the product gives 5n²
No such factors exists, hence the polynomial is prime.
I'll give brainliest!
Answer:
=1/1024
Step-by-step explanation:
4^-5
=1/4^5
=1/1024
Rate as brainliest
11 – 8 (5 – 2) help
Answer
11 - 8 (5 -2) = -13
Explanation
11 - 8 (5 -2)
To solve this, we will first solve the one in the bracket
11 - 8 (5 -2)
= 11 - 8 (3)
= 11 - 24
= -13
Hope this Helps!!!
hi, i need aloy of help
Answer:
XY ≈ 14.32
Step-by-step explanation:
XY² = XZ² + ZY²
XY² = 6² +13²
XY² = 36 + 169
XY² = 205
XY = [tex]\sqrt{205\\[/tex]
XY ≈ 14.32
If a car moves along a perfectly straight road at a velocity of 24 m/s, how far will the car go in 35 minutes?
Answer:
distance = rate x time
Step-by-step explanation:
distance = ?
rate = 24 m/s
time = (35 x 60) = 2100 s
thus,
distance = 24 x 2100 = 50400 m
which number is a rational number?A. √3B. √36C. √7D. π
We have to identify the rational number.
Any number that can be expressed as a fraction is a rational number.
In this case the options are:
A. The square root of 3. This does not have a solution with finite number of decimals, so it can not be expressed as a fraction. Then, it is not rational.
B. The square root of 36, unlike the square root of 3, does have a rational solution: 6. So the square root of 36 is a rational number.
C. The square root of 7. This does not have a solution with finite number of decimals, so it can not be expressed as a fraction. Then, it is not rational.
D. The number π has an infinite number of decimals, so it can not be represented as a fraction. Thn, it is not a rational number.
nswer: O√36 [ption B]
Find sin S, sin R, cos S, cos R.sin S =sin R =cos S =cos R =
From the basic knowledge of Trignometry,
We are meant to find sin S , sin R , cos S and cos R:
sin S = opposite / Hypoteuse = 18 / 26
sin R = opposite / Hypotenuse = 16 / 26
cos S = Adjacent / Hypotenuse = 16 / 26
cos R = Adjacent / Hypotenuse = 18 / 26
Use the sequence below to complete each task. -2, 8, -32,... a. Identify the common ratio (r). b. Write an equation to represent the sequence. C. Find the 10th term (a,0)
hello
we're required to write an equation to represent the sequence
-2, 8, -32
first of all, let's identify the first term
first term = -2
common ratio = ?
c
yasir received a 50% increase in his allowance this year. He now receives £33 a week. What was his weekly allowance last year?
Answer:
£22
Step-by-step explanation:
x+1/2x=33
1.5x=33
33/1.5=22
The weekly allowance for Yasir last year is £22.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Yasir received a 50% increase in his allowance this year. He now receives £33 a week.
The weekly allowance for last year will be calculated as,
1.5 x (X) = £33
X = £33 / 1.5
X = £330 / 15
X = £22
Therefore, Yasir's weekly allowance for last year is £22.
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Who is Caleb? What is his job? Hpw p;d ois;O?
Answer:
oiutwecldvi ufa
Step-by-step explanation:
2, 4, 5, 6, 6, 7
What is the mean of the list of numbers above?
Answer: 5
Step-by-step explanation: add up the numbers to get 30 then divide by 6 (the amount of numbers) to get 5
Answer: 5
Step-by-step explanation:
the mean is the average. add the numbers together then divide by how many addends you have.
2 + 4 + 5 + 6 + 6 + 7 = 30
30/6 = 5
:)
Tracy's Termite Control has a net worth of $750,000. The assets total $980,235. Find the amount of the liabilities.$1,730,235$730,235$229,765$230,235None of these choices are correct.
Tracy's Termite Control has a net worth of $750,000.
The assets total $980,235.
Recall that the assets are the sum of liabilities and equity.
[tex]Assets=Liabilities+Equity[/tex]For the given case,
Assets = $980,235
Equity = $750,000
Let us substitute these values into the above formula and solve for liabilities
[tex]\begin{gathered} Assets=Liabilities+Equity \\ 980,235=Liabilities+750,000 \\ Liabilities=980,235-750,000 \\ Liabilities=\$230,235 \end{gathered}[/tex]Therefore, the amount of the liabilities is $230,235
The 4th option is the correct answer.
A car rental agency charges a fixed fee plus a daily rate. The function f (x) = 30x + 10 expresses the total cost of renting a car for x days. Suppose the agency doubles the fixed fee and increases the daily rate by $5. Which function represents these changes? A. f(x) = 60 (x + 5) + 10 B.f(x) = 60x + 15 C. f(x) = 30 (x + 5) + 20 D. f (x) = 35x + 20
In the given equation:
f(x) = 30x+ 10, where x is the number of days
We can see that at the beggining, when x = 0, then f (0) = 30 · 0+ 10 = 10
Then, renting a car costs at least $10, so $10 is the fixed fee
Each day that passes $30 is being multiplicated, then it cost $300 per day.
Then, the equation is expressed by
f(x)= daily rate · x + fixed fee
If the agency doubles the fixed fee, it would be that 2 · $10 = $20
If the agency increases the daily rate by $5, in addition, then $30 + $5 = $35 woul be the cost each day.
Then, with these new costs we reaplce our equation
f(x)= daily rate · x + fixed fee
f(x)= 35 · x + 20
Answer: D. f (x) = 35x + 20