Answer: the correct answer would be A!
Step-by-step explanation: Hope this helps what you need to do is add
A ______________ consists of a limited number of people from the overall population, selected in such a way that each has an equal chance of being chosen.
A random sample is a representative subset of individuals selected from the larger population in such a way that each member of the population has an equal chance of being chosen.
The purpose of a random sample is to obtain a sample that is unbiased and reflects the characteristics of the entire population.
By giving every individual an equal opportunity to be included in the sample, random sampling helps minimize selection bias and ensures that the sample is more likely to be representative of the population as a whole. This allows researchers to make valid inferences and generalizations about the population based on the characteristics observed in the random sample.
Random sampling is widely used in various fields, including research, surveys, and statistical analysis, to draw reliable conclusions about a larger population based on a smaller subset of individuals.
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A system of inequalities is shown.
The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.
Which system is represented in the graph?
y > x2 + 2x – 3
y > 2x + 3
y < x2 + 2x – 3
y < –2x + 3
y ≥ x2 + 2x – 3
y ≤ 2x + 3
y > x2 + 2x – 3
y < –3x + 4
The system of inequalities which is represented in the graph shown (see attachment) is:
y ≥ x² -2x -3y ≤ x +3What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:
Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:
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1. Two crucial tasks inherent in the initial stage of group therapy are orientation and ______________.
2. Ambiguity and lack of a structured approach in groups often lead to:
Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.
Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.
It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.
Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.
Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.
Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.
To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.
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Given that the long-term DPMO = 25137, what are the short-and long-term Z-values (process sigmas)?
A. LT = 1.96 and ST = 3.46
B. LT = 3.46 and ST = 1.96
C. LT = 4.5 and ST = 6.00
D. None of the above
The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,
so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.
The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.
However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.
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what is the period of the sinusoidal function
Answer:
10Step-by-step explanation:
Period is the distance between two consecutive maximum points, or two consecutive minimum points.On the given graph the period is the distance between maximum points -7 and 3:
3 - (-7) = 10Answer:
The period of the sinusoidal function is 2π, i.e., the value of the function repeats at every 2π units.
From the origin towards right we can see that the distance traveled between 0 to 2π is 10 units
Therefore, 10 units is the right answer.
Does anyone know the answer or how you're supposed to answer this?
Answer:
Step-by-step explanation:
(a) Triangle possible because 5 + 12 > 13.
(b) Triangle possible because the 3 angles add up to 180 degrees.
(c) No Triangle possible because 5 + 2 < 8.
(d) Triangle possible because the 3 angles add up to 180 degrees.
x=5 y = 3, x² + 3(x +y)=
HELP FAST
9514 1404 393
Answer:
49
Step-by-step explanation:
Put the variable values in place of the corresponding variables, and do the arithmetic.
x² +3(x +y) =
5² +3(5 +3) = 25 +3(8) = 25 +24 = 49
The quotient of a number w and five is at most four.
Answer:
b =345
Step-by-step explanation:
The solution is w ≤ 20
The inequality equation is w ≤ 20
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number be w
A = quotient of a number w and five is at most four
Substituting the values in the equation , we get
w / 5 ≤ 4 be equation (1)
Multiply by 5 on both sides of the equation , we get
w ≤ ( 4 x 5 )
w ≤ 20
Therefore , the value of A is w ≤ 20
Hence , the inequality equation is w ≤ 20
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16a² − 25?? please help
Answer:
(4a - 5)(4a + 5)
Step-by-step explanation:
Assuming you require to factor the expression
Given
16a² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16a² - 25
= (4a)² - 5²
= (4a - 5)(4a + 5) ← in factored form
Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!
You measure the mass of an apple using a balance.
I need help with #65 to #70 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP… it is passed due
f the current population size is x individuals, what fraction of the resources are they using collectively?
The fraction of resources used collectively by X individuals can be represented as X/R, where R represents the total resources available. The fraction of resources not being used is represented as (R-X)/R. The per-capita growth rate can be represented as dX/dt = kX, where k is the proportionality constant. The differential equation for the population's size is dX/dt = kX.
A detailed explanation:
a) If the current population size is X individuals, then the fraction of resources they are using collectively can be calculated as X/R, where R represents the total resources available. This calculation gives us the proportion of resources used by X individuals relative to the total resources available.
b) To calculate the fraction of resources not being used, we subtract the fraction of resources used by X individuals from 1. So, the fraction of resources not being used is (R-X)/R.
c) The per-capita rate of change of X can be represented as dX/dt = kX, where k is the proportionality constant. This equation states that the rate of change of X (dX/dt) is proportional to X and the constant of proportionality is k.
d) To convert the equation into a differential equation for the population's size, we simply make X' stand alone on the left-hand side of the equation. So, the differential equation for the population's size becomes dX/dt = kX.
e) This differential equation states that the rate of change of X (dX/dt) is proportional to X and the constant of proportionality is k. This equation can be used to model the growth of a population over time and to understand the relationship between the population size and the rate of change of the population.
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Complete questin:
If the current population size is X individuals, what fraction of the resources are they using collectively? c) In the same situation, what fraction of the resources are not being used? d) The per-capita rate of change of X can be written as 7%. The key assumption mentioned above says that this quantity is pro- portional to the expression you wrote down in part (c). Call the proportionality constant 1', and write an equation for the per-capita growth rate. e) Convert this equation into a differential equation (change equa- tion) for the population's size. (Just make X' stand alone on the left-hand side of the equation.)
Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
Using her garden hose, Camilla filled up a 4-gallon bucket in just
1
6
of a minute. At what rate does water flow through the hose?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per minute
Answer:
Explain everything. Imagine that the person who was asking, knows nothing at all so you need to start from the very beginning.
Step-by-step explanation:
Use the figure to find the Volume
Answer:
12π
Step-by-step explanation:
→ Write down the formula
π × r² × h
→ Identify variables
r = 2, h = 3
→ Substitute in the numbers
π × 2² × 3
→ Simplify
12π
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
I-Ready: Which expresstion represents the distance between point G and point H?
H:(-9,6)
G:(-9,-12)
Okay, let's work through this step-by-step to find the distance between points G and H.
**Point G has the coordinates (-9, -12). This means the x-coordinate is -9 and the y-coordinate is -12. **
**Point H has the coordinates (-9, 6). This means the x-coordinate is -9 and the y-coordinate is 6. **
To find the distance between two points, we use the Distance Formula:
Distance = √( (x2 - x1)2 + (y2 - y1)2 )
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
For points G and H:
**x1 = -9 (coordinate of G) and x2 = -9 (coordinate of H) → (x2 - x1) = 0 **
**y1 = -12 (coordinate of G) and y2 = 6 (coordinate of H) → (y2 - y1) = 18 **
So the Distance Formula becomes:
√(0)2 + (18)2 = √324 = 18
Therefore, the expression that represents the distance between points G and H is 18.
Let me know if any of these steps are unclear. I'm happy to explain them in a different way.
Answer:
64759
Step-by-step explanation:
the steps i don't know im relly sorry but unfortunately i dont have this one
HELP ME ASAP PLEASE HURRY
Answer:
7.2
Step-by-step explanation:
Answer:
7.2
Step-by-step explanation:
First use equation a²+b²=c²
so 4²+6²=52
now opposite of square is squareroot so
squareroot of 52 is 7.2
Please Answer: This Is Probability: There are six grey socks and nine white socks in a drawer. Jake randomly picks out two socks, without replacement, to wear.
A.) Draw a tree diagram to represent all possible outcomes and the corresponding possibilities. ( I have already answered A.)
B.) What is the probability that Jake will pick out two socks of the same colour?
0.4857
Sock Color Probability: 0.486
User
Please Answer: This Is Probability: There are six grey socks and nine white socks in a drawer. Jake randomly picks out two socks, without replacement, to wear.
A.) Draw a tree diagram to represent all possible outcomes and the corresponding possibilities. ( I have already answered A.)
B.) What is the probability that Jake will pick out two socks of the same colour?
ChatGPT
To determine the probability that Jake will pick out two socks of the same color, we need to calculate the favorable outcomes (when both socks are either grey or white) and divide it by the total number of possible outcomes.
Total number of socks = 6 grey socks + 9 white socks = 15 socks
Since Jake picks two socks without replacement, the total number of possible outcomes is given by the combination formula:
Total possible outcomes = C(15, 2) = 15! / (2!(15-2)!) = 15! / (2! * 13!) = (15 * 14) / (2 * 1) = 105
Next, we calculate the number of favorable outcomes, which is when both socks are either grey or white. There are two cases to consider:
Case 1: Jake picks two grey socks
Number of grey socks = 6
Possible outcomes when two grey socks are picked = C(6, 2) = 6! / (2!(6-2)!) = 6! / (2! * 4!) = (6 * 5) / (2 * 1) = 15
Case 2: Jake picks two white socks
Number of white socks = 9
Possible outcomes when two white socks are picked = C(9, 2) = 9! / (2!(9-2)!) = 9! / (2! * 7!) = (9 * 8) / (2 * 1) = 36
Now we can calculate the total number of favorable outcomes:
Total favorable outcomes = Number of favorable outcomes for case 1 + Number of favorable outcomes for case 2 = 15 + 36 = 51
Finally, we can calculate the probability by dividing the favorable outcomes by the total possible outcomes:
Probability of picking two socks of the same color = Total favorable outcomes / Total possible outcomes = 51 / 105 ≈ 0.4857 (rounded to four decimal places)
PLEASE HELP ME MI AMOR
Answer:
Well for 1 question it would be a 25% chance but since its two i would say its a 50% chance
Step-by-step explanation:
What is the area of KELP, h = 52.6, b1 = 47.8, 62 = 39.1 *
A diagram with Trapezoid KELP and Circle C is shown. Given the dimensions, find the
area of each figure and complete the table. Round to the nearest hundredth if
necessary.
O
O
156.61
12443.11
476.26
14.62
25.15
O 13565.51
161.88
36.89
419.78
2285.47
The area of the trapezoid is A = 2285.47 units²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the value of A is
Let the height of the trapezium be h = 52.6
Let the length of the shorter base a = 39.1
Let the length of the longer base b = 47.8
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying , we get
Area of trapezoid A = ( ( 47.8 + 39.1 ) 52.6 ) / 2
Area of trapezoid A = ( 86.9 x 52.6 ) / 2
Area of trapezoid A = 4,570.94 / 2
Area of trapezoid A = 2285.47 units²
Hence , the area of the trapezoid is 2285.47 units²
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By visual inspection, determine the best-fitting regression model for the data
plot below.
Answer:
linear
Step-by-step explanation:
By visual inspection, the best-fitting regression model for the data plot is the linear regression
How to determine the regression model?From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases
This type of model is a linear regression model
Hence, the best-fitting regression model for the data plot is the linear regression
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Reflection over the line y= x of the point (-7, 4). Please assist with this math problem.
ANSWER:
\(P^{\prime}(4,-7)\)STEP-BY-STEP EXPLANATION:
We have to rule for reflection about the line y = x is:
\(P(x,y)\rightarrow P^{\prime}(y,x)\)Therefore:
\(P(-7,4)\rightarrow P^{\prime}(4,-7)\)Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
Find the solution of each of the following systems of linear equations using augmented matrices. a. x - 3y=1 2x - 7y=3 b. x + 2y = 1 3x + 4y =1 c. 2x + 3y = -1 3x + 4y = 2 d. 3x + 4y= 1 4x + Sy= -3
The solution of each of the following systems of linear equations using augmented matrices are below:
(a) x = -2 and y = -1
(b) x = -1/2 and y = 1
(c) x = -7 and y = 2
(d) Either \(S = \frac{16}{3}\) and there are infinite solutions or\(S \neq \frac{16}{3}\) and there are no solutions
a. x - 3y = 1, 2x - 7y = 3 Putting the above linear equation in augmented matrices form we get:
\(\left[\begin{array}{ccc}1&-3&|1\\2&-7&|3\\\end{array}\right]\)
Performing row operations to solve the above matrix we get:
\(\left[\begin{array}{ccc}1&-3&|1\\0&-1&|1\\\end{array}\right]\) therefore y = -1
and \(\left[\begin{array}{ccc}1&0&|-2\\0&1&|-1\\\end{array}\right]\) therefore x = -2.
b. x + 2y = 1, 3x + 4y = 1 Putting the above linear equation in augmented matrices form we get:\(\left[\begin{array}{ccc}1&2&|1\\3&4&|1\\\end{array}\right]\)
Performing row operations to solve the above matrix we get: \(\left[\begin{array}{ccc}1&2&|1\\0&-2&|-2\\\end{array}\right]\) so y = 1
and \(\left[\begin{array}{ccc}1&0&|\frac{-1}{2} \\0&1&|1\\\end{array}\right]\) so x = \frac{-1}{2}
c. 2x + 3y = -1, 3x + 4y = 2 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}2&3&|-1\\3&4&|2\\\end{array}\right]\)
Performing row operations to solve the above matrix we get: \left[\begin{array}{ccc}2&3&|-1\\0&1&|2\\\end{array}\right] therefore y = 2
and \(\left[\begin{array}{ccc}1&0&|-7\\0&1&|2\\\end{array}\right]\) therefore x = -7
d. 3x + 4y = 1, 4x + Sy = -3 Putting the above equation in matrix form we get: \(\left[\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right]\)
As the above matrix is not in the echelon form, therefore we perform row operations to convert the matrix into echelon form: \\([\begin{array}{ccc}3&4&|1\\4&S&|-3\\\end{array}\right}]\)
Performing row operation R_{2}→ R_{2}-\frac{4}{3}R_{1}
We get: \(\left[\begin{array}{ccc}3&4&|1\\0&S-\fract{16}{3}&|\frac{-7}{3}\\\end{array}\right]\)
Therefore, either \(S = \frac{16}{3}\) and there are infinite solutions or S ≠ 16/3 and there are no solutions.
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The table shows the height of a candle as it is
continuously burned. Which statement describes the candle?
A) The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
B) The candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour.
C) The candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour.
D) The candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.
The statement that describes the candle is , The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.
What is Rate of Change ?Rate of Change is the speed at which an object is changing its parameters , or the change of population with time etc.
It is given in the table that the starting height of the candle is 25 cm
The rate at which it is burning is determined as
Rate = (24.375 - 25 )/(0.25-0)
= -0.25
- sign indicates the decrease in the height
The rate is 0.25
On the basis of the data
The statement that describes the candle is
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.
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based on the 2010 census ,the population of gorgia was 9.6 x 10^6 people wihch state has a higher population
New York had the larger population with 1.9 x 10⁷ people. The correct option is B.
To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).
We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.
Check the populations of the other states:
Alaska: 7.1 x 10⁵ = 0.71 million people
Wyoming: 5.6 x 10⁵ = 0.56 million people
Idaho: 1.5 x 10⁶ = 1.5 million people
New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.
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Complete question:
Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6
HELP ME PLZ GUYS PLZ PLZ PLZ! I WILL GIVE BRAINLIEST!
Find the area of the shape shown below.
Answer:
240 units I think
Step-by-step explanation
20 by 2 equal 10 you now know the triangle length
then 4 X 10 equal 40 by 2 equal 20 by 2 equal 40. area of both triangles
20 X 10 equal 200 length of rectangle add both and equal 240.
Answer:
240 sq. ft is the qnswer I got
As of 2016 New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New York City that has a land area of 23 square miles and a population of 1.64 million.
How much greater is the population density of Manhattan than that of New York City?
Answer:
42,804.35 million people per miles
Step-by-step explanation:
Population density = Number of people / Land area
New York
Population = 8.55 million
Land area = 300 square miles
Manhattan
Population = 1.64 million
Land Area = 23 Square miles
Population density of New York = Number of people / Land area
= 8.55 million / 300 Square miles
= 8,550,000 / 300
= 28,500 people per square miles
Population density of Manhattan = Number of people / Land area
= 1.64 million / 23 miles
= 1,640,000 / 23
= 71,304.35 million people per square miles
Difference between Manhattan and new York City = 71,304.35 - 28,500
= 42,804.35 million people per miles
Therefore,
The population density of Manhattan is greater than that of New York City by 42,804.35 million people per miles
The difference between the population densities of Manhattan and New York is 42,804 people per square mile.
The density of New York is:
= Population / Area
= 8,550,000 / 300
= 28,500 people per square mile
Density of Manhattan:
= 1,640,000 / 23
= 71,304 people per square mile
The difference is:
= 71,304 - 28,500
= 42,804 people per square mile
In conclusion, Manhattan's population density is 42,804 people per square mile higher than New York City's.
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Solve the system by substitution.
y = -3x + 4
y = -7x
Submit Answer
Answer:
{y,x} = {7,-1}
Step-by-step explanation:
(-7x) + 3x = 4
- 4x = 4
4x = - 4
x = - 1
y = -7x
x = -1
y = -7(-1) = 7
Let f be the function with derivative given by f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. Which of the following statements is true?
A) f is decreasing for −a
B) f is decreasing for x<−a and x>a because f′(x)<0 for x<−a and x>a.
C) f is decreasing for x<0 because f′(x)<0 for x<0.
D) f is decreasing for x<0 because f′′(x)<0 for x<0.
C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of f is f′(x)=x2−a2=(x−a)(x+a).
This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
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