William hikes at a constrant rate , converting 6 miles in 2 hours, which expression represents how many miles william hikes in 4 hours?
A). 1/3 h
B). 1/2 h
C). 2h
D). 3h
Answers
6/2=3 miles per hour
Related Questions
N is a positive integer
(I) explain why n(n-1) must be an even number
(II) explain why 2n+1 must be an odd number
Answers
Part (1)
n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k
This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.
Now multiply n with n-1 to get
n(n-1) = 2k(2k-1) = 2m
where m = k(2k-1) is an integer
The result 2m is even showing that n(n-1) is even
------------
Let's say that n is odd this time. That means n = 2k+1 for some integer k
And also n-1 = 2k+1-1 = 2k showing n-1 is even
Now multiply n and n-1
n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m
where m = k(2k+1) is an integer
We've shown that n(n-1) is even here as well.
------------
So overall, n(n-1) is even regardless if n is even or if n is odd.
Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.
=======================================================
Part (2)
n is some positive integer
2n is always even since 2 is a factor of 2n
2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.
-----------
Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5
The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.
How do you identify the vertical and horizontal asymptotes for rational functions?
Answers
To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.
For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.
The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.
If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.
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The manager of a restaurant found that the cost to produce cups of coffee is $, while the cost to produce cups is $. Assume the cost C(x) is a linear function of x, the number of cups produced. Answer parts a through f.
Question content area top
Part 1
The manager of a restaurant found that the cost to produce
200
cups of coffee is
$19.92,
while the cost to produce
500
cups is
$47.82.
Assume the cost C(x) is a linear function of x, the number of cups produced. Answer parts a through
f.
Question content area bottom
Part 1
a. Find a formula for C(x). Choose the correct answer below.
C(x)=enter your response here
(Use integers or decimals for any numbers in the expression.)
Answers
The formula for C(x) is C(x) = 0.106x + 7.32.
To find the formula for C(x), we need to determine the relationship between the number of cups produced (x) and the cost (C(x)). Given that the cost is a linear function of x, we can use the two data points provided to form a linear equation.
Using the first data point, where 200 cups of coffee cost $19.92, we can substitute x = 200 and C(x) = 19.92 into the equation:
19.92 = 0.106(200) + b
Simplifying the equation, we have:
19.92 = 21.2 + b
Subtracting 21.2 from both sides:
-1.28 = b
Now we have the value of b, we can substitute it back into the equation to find the complete formula:
C(x) = 0.106x - 1.28 + 7.32
Simplifying further:
C(x) = 0.106x + 6.04
Therefore, the formula for C(x) is C(x) = 0.106x + 6.04.
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The Volume of a Rectangular prism is V=2x³ 3x² - 11x + 6. It has a height of x-3 and a length of x + 2. What is the width of the prism?
Answers
Answer:
The width of the prism is 2x - 1.
Hope this helps!
Step-by-step explanation:
( there is no addition or subtraction sign between \(2x^{3}\) and \(3x^{2}\) )
The volume of a rectangular prism is Length*Width*Higth.
( 2x - 1 )*( x + 2 ) = \(( 2x^{2} +4x-x-2) = (2x^{2} +3x - 2)\)
\((2x^{2} +3x-2)*(x-3 )\) = \((2x^{3} -6x^{2} +3x^{2} -9x-2x+6 ) = (2x^{3} -3x^{2} -11x+6)\)
Which is the equation, so the width of the prism is 2x - 1.
Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store. Find the expression which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 3 items.
Answers
The expression which represents the amount Gabe spent at the mall will be 18.58k + 52.
The amount that Gabe spent if he bought 3 items will be $107.74.
How to calculate the expression?From the information, Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store and he spent 22 dollars at another store.
The expression which represents the amount Gabe spent at the mall will be:
= 18.58k + 30 + 22
= 18.58k + 52
The amount that Gabe spent if he bought 3 items will be:
= 18.58k + 52
= 18.58(3) + 52
= $107.74
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Given the quadratic formula f(x)= 3x^2 - 2x + 5, calculate the average rate of change from x= -2 to x = 0.
Answers
The average rate of change from x = -2 to x = 0 of the function f(x) = 3x² - 2x + 5 is -8.
What is the average rate of change from x = -2 to x = 0?The average rate of change from -2 to 0 is;
f(0) - f(-2) / 0 - (-2)
Given the quadratic equation in question;
f(x) = 3x² - 2x + 5
Plug in the values;
[ ( 3(0)² - 2(0) + 5 ) - ( 3(-2)² - 2(-2) + 5 ) ]/ 0 - (-2)
[ ( 0 - 0 + 5 ) - ( 12 + 4 + 5 ) ]/ 0 - (-2)
[ 5 - 21 ] / 0 - (-2)
[ -16 ] / 2
-16/2
-8
Therefore, the average rate of change is -8.
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When multiplying or diving by a negative number what happens to the inequality symbol
Answers
Answer: negative
Step-by-step explanation: If its -4* -5 it's going to be a positive if it's -3*4 it is going to be negative same with division.
do the data suggest that the two methods provide the same mean value for natural vibration frequency? find interval for p-value
Answers
we can calculate the test statistic as follows:
t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))
What is probability?
Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.
To determine if the data suggests that the two methods provide the same mean value for natural vibration frequency, we can perform a hypothesis test.
Let's define the hypotheses:
H0: The mean value for natural vibration frequency using Method A is equal to the mean value using Method B.
H1: The mean value for natural vibration frequency using Method A is not equal to the mean value using Method B.
We can use a two-sample t-test to compare the means. We calculate the test statistic and the p-value to make our decision.
If we have the sample means, standard deviations, and sample sizes for both methods, we can calculate the test statistic as follows:
t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))
Here, mean A and mean B are the sample means, sA and sB are the sample standard deviations, and nA and nB are the sample sizes for Methods A and B, respectively.
The p-value corresponds to the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.
To find the interval for the p-value, we need more information such as the sample means, standard deviations, and sample sizes for both methods. With that information, we can perform the calculations and determine the p-value interval.
Hence, we can calculate the test statistic as follows:
t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))
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Complete question:
do the data suggest that the two methods provide the same mean value for natural vibration frequency? find interval for p-value: enter your answer; p-value, lower bound
At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x
B. x–20
C. x–0.2
D. x–0.2x
Can someone explain why is D correct ?
Answers
Answer:
Step-by-step explanation:
x-.20x
Lets say the hat cost $100
x=100
multiplying 100 by 20% which is .20 yields $20
S0 $20 is the discount which we subtract from the original price
100-20 and get the sale price of $80
They use a shortcut so you don't have to do the subtracting of the discount
They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount
So in this case the discount percent was 20% = .20
Subtracted from 1
1-.20=.80
Since x is the original price we multiply x by the .80 to get
.80x
The amounts of household waste generated in a region during two years were 23,400,000tons and 48,100,000tons. what was the total household waste generated over these two years in the region, expressed in scientific notation? (1 point)
Answers
Which is a correct first step for solving this equation-5(4x-7)+=3x
Answers
Answer:
Start by multiplying -5 by 4x and -7.
Answer:
Changing the equation to -20x+35=3x
Step-by-step explanation:
You would multiply each number in the parenthesis by -5
Hope this helps :)
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answers
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 2% of the population has the disease in question.
Required:
If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease?
Answers
If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, the conditional probability that she does, in fact, have the disease is 1.55%.
The given problem is related to conditional probability. We need to find the probability of a person having the disease given that the test result is positive.
Let A be the event that a person has the disease and B be the event that the diagnostic test indicates that she has the disease.
Given, P(A) = 0.02 (2% of the population has the disease)
P(B|A) = 0.9 (the test correctly detects the disease in 90% of individuals who actually have it)
P(B|A') = 0.1 (the test will report that a person does not have the disease with probability 0.9)
We need to find P(A|B), i.e., the probability of a person having the disease given that the test result is positive.
Using Bayes' theorem, we have:
P(A|B) = P(B|A) * P(A) / P(B)
We can calculate P(B) using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|A') * P(A')
P(B) = 0.9 * 0.02 + 0.1 * 0.98
P(B) = 0.018 + 0.098
P(B) = 0.116
Now, substituting these values in Bayes' theorem, we get:
P(A|B) = 0.9 * 0.02 / 0.116
P(A|B) = 0.0155 or 1.55%
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Write this word sentences as an inequality
Write this word sentence as an inequality. A number z is greater than or equal to -8 and is less than --5. An inequality is
Answers
The inequality that represents the given word sentence is: -8 ≤ z < -5.
In the word sentence, it states that a number "z" should satisfy two conditions: it must be greater than or equal to -8, and it must be less than -5.
To represent these conditions as an inequality, we use the following symbols:
The "≥" symbol represents "greater than or equal to."
The "<" symbol represents "less than."
Combining these symbols and the given numbers, we can write the inequality as -8 ≤ z < -5.
The first part of the inequality, -8 ≤ z, means that z can take any value greater than or equal to -8. This includes numbers such as -8, -7, -6, and so on.
The second part of the inequality, z < -5, means that z must be strictly less than -5. This means that z cannot be -5 or any number greater than -5. It can be any number less than -5, such as -6, -7, -8, and so on.
Therefore, the inequality -8 ≤ z < -5 represents the given word sentence, stating that z is greater than or equal to -8 and less than -5.
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Find the first six terms of the sequence.
a1 = -7, an = 4 • an-1
A) -7, -28, -112, -448, -1792, -7168
B) -28, -112, -448, -1792, -7168, -28,672
C) -7, -28, -24, -20, -16, -12
D) 0, 4, -28, -24, -20, -16
Answers
3/5 X 7/2 as a mixed number
Answers
Answer:
\(2\frac{1}{10}\)
Step-by-step explanation:
Answer:
2 1/10
Step-by-step explanation:
ILL MARK BRAINLIST IF ITS RIGHT.
Answers
Answer:
Step-by-step explanation:
The formula you should use is
b = 7 * h
You can try any value to see what happens
Let h = 3
b = 3*7
b = 21
4
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per metre and trousers material that costs him ₹ 90 per metre. For every 3 metres of the shirt material, he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹ 36,600. How much trouser material did he buy?
PLease i want it with step by step explanation
Answers
Answer:
Step-by-step explanation:
Let x represent the number of meters of shirt material that he bought.
Let y represent the number of meters of trouser material that he bought.
For every 3 metres of the shirt material, he buys 2 metres of the trouser material. It means that
2x = 3y
x = 3y/2
shirt material cost him ₹ 50 per metre and trousers material cost him ₹ 90 per metre. It means that the total cost is
50x + 90y
Selling price for the shirt material is
50x + (12/100 × 50x) = 56x
Selling price for the trouser material is
90y + (10/100 × 90y) = 99y
If his total sale is ₹ 36,600, it means that
56x + 99y = 36600- - - - - - - - 1
Substituting x = 3y/2 into equation 1, it becomes
56(3y/2) + 99y = 36600
Multiplying both sides by 2, it becomes
168y + 198y = 73200
366y = 73200
y = 73200/366
y = 200
x = 3y/2 = 3 × 200/2
x = 300
He bought 200 meters of trouser material
find the area of the surface. the part of the surface z = 1 4x 3y2 that lies above the triangle with vertices (0, 0), (0, 1), (2, 1).
Answers
The area of the surface above the given triangle is 2∫[0 to 1] √(197 + 36y²) dy.
To find the area of the surface above the triangle, we need to integrate the surface area element over the region bounded by the triangle.
Determine the limits of integration:
The triangle is defined by the vertices (0, 0), (0, 1), and (2, 1). The limits of integration for x will be from 0 to 2, and for y, it will be from 0 to 1.
Calculate the surface area element:
The surface area element is given by dS = √(1 + (dz/dx)² + (dz/dy)²) dxdy.
Here, z = 14x - 3y². Calculate ∂z/∂x and ∂z/∂y, then substitute them into the surface area element equation.
∂z/∂x = 14
∂z/∂y = -6y
Substituting the values into the surface area element equation:
dS = √(1 + (14)² + (-6y)²) dxdy
= √(1 + 196 + 36y²) dxdy
= √(197 + 36y²) dxdy
Integrate the surface area element:
Set up the integral: ∬√(197 + 36y²) dxdy over the given limits of integration.
Integrate with respect to x first and then y.
∫[0 to 2] ∫[0 to 1] √(197 + 36y²) dxdy
Integrating with respect to x:
∫[0 to 2] √(197 + 36y²) dx = x√(197 + 36y²) | [0 to 2]
= 2√(197 + 36y²) - 0√(197 + 36y²)
= 2√(197 + 36y²)
Integrating with respect to y:
∫[0 to 1] 2√(197 + 36y²) dy = 2∫[0 to 1] √(197 + 36y²) dy
We can solve this integral using numerical methods or approximations.
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How many 1/9s are in 4? Whatmultiplication equation can you use tocheck your answer?
Answers
Answer:
36is what I got from my calculations
Step-by-step explanation:
4÷1/9
=36
I tried
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answers
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
How fast can a Ford GT reach 100 Mph?
Answers
Answer:
The new GT has a claimed top speed of 216 mph (348 km/h), and has a power to weight ratio of 0.43 hp (0.32 kW) per kilogram
Step-by-step explanation:
I looked it up:)
Answer:
top speed of 216 mph (348 km/h), and has a power to weight ratio of 0.43 hp (0.32 kW) per kilogram.
Step-by-step explanation:
Marlee has $100 and is going to buy tickets to a Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance the ticket is fake, but she won't know until she gets to the concert. If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The placement of seats for the tickets are identical. It costs $10 in gas to get to the concert. Marlee's utility function is given by u(x)= x+k
, where k equals 100 if Marlee gets to go to the concert, 0 otherwise. (a) Does Marlee buy her ticket from Fony Front Seats or Best Tickets? Why?
Answers
The expected utility of Marlee with the ticket from Fony is 28.
The utility function of Marlee is given by u(x) = x+k. Here, k equals 100 if Marlee gets to go to the concert and equals 0 otherwise.
Marlee has $100 to buy tickets to the Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert.
If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The seat placements for both tickets are identical and it costs $10 in gas to get to the concert.
Marlee's utility function is given as u(x) = x+k, where k equals 100 if Marlee gets to go to the concert and equals 0 otherwise. Her goal is to maximize her utility function.
Marlee is facing a trade-off between the cost of the ticket and the probability of getting a real ticket.
If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert. Thus, there is a 40% chance that the ticket is real.
So, the expected utility of Marlee with the ticket from Fony is given by,
0.6u(0)+0.4u(100-20-10)=0.6(0)+(0.4)(70)=28
Therefore, the expected utility of Marlee with the ticket from Fony is 28. This indicates that Marlee will not be able to go to the concert if she buys the ticket from Fony Front Seats.
If she buys a $60 ticket from Best Tickets, the ticket is certainly real. Therefore, the expected utility of Marlee with the ticket from Best Tickets is,
u(100-60-10)=u(30)=30+100=130
Therefore, the expected utility of Marlee with the ticket from Best Tickets is 130.
This indicates that Marlee should buy the ticket from Best Tickets to get the maximum utility.
Therefore, Marlee should buy her ticket from Best Tickets because she will receive the maximum utility if she buys the ticket from Best Tickets.
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An analyst developing a predictive model used a data set of 10,000 observations with20 predictors and one target variable. To deal with possible overfitting, the analystrandomly divided the data into training (7,500 observations) and validation subsets(2,500 observations). She then tried 10 different models using the training data. Eachmodel was then checked using the validation data. One model was found to clearlyoutperform the others in predictive accuracy using the validation data. What wouldyou say about this analyst's work
Answers
The analyst appears to have done a thorough and careful job developing a predictive model.
What is Predictive Modeling?Predictive modeling is the process of creating, processing, and validating a model that can be used to estimate future outcomes using known results.
It seems that the analyst has done a thorough and careful job in developing a predictive model.
By using a large data set and randomly dividing it into training and validation subsets, the analyst has ensured that the model is well-calibrated and does not overfit to the training data.
Additionally, by trying multiple models and evaluating their performance on the validation data, the analyst has been able to identify the model that performs the best on unseen data.
Overall, these are good practices for developing a predictive model and improving its accuracy.
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The probability P(Z>1.28) is closest to: (a) −0.10
(b) 0.10
(c) 0.20
(d) 0.90
Answers
Answer:
Step-by-step explanation:
The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.
Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.
Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.
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please please help i’ll give brainliest tysm:))
Answers
328/16 =20.5
\(answer = \frac{328}{16} = 20.5\)
The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
Answers
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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Complete the recursive formula of the arithmetic sequence 13, 6, -1, -8,...13,6,−1,−8,...13, comma, 6, comma, minus, 1, comma, minus, 8, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answers
The recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have an arithmetic sequence:
13, 6, -1, -8,...
The first term:
a = 13
The common difference:
d = 6 - 13 = -7
The recursive formula of the arithmetic sequence:
a(n) = a + (n - 1)d
a(n) = 13 + (n - 1)(-7)
a(n) = 20 - 7n
Thus, the recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.
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A region with a 10-mile radius has a population density of about 869 people per square mile. Find the number of people who live in the region.
Answers
There are 273,028 people who live in the region.
How to find the number of people who live in the region?To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density.
The area of a circle with radius r is given by the formula \(A = \pi r^2.\)Therefore, the area of the region with a 10-mile radius is:
\(A = \pi r^2 =\pi (10^2)\) = 100π square miles
The number of people who live in this region can be found by multiplying the area by the population density:
Number of people = Population density x Area
= 869 people/square mile x 100π square miles
= 86900π people
Using a calculator, we can approximate this to:
Number of people ≈ 273,028.4
Therefore, there are approximately 273,028 people who live in the region with a 10-mile radius and a population density of 869 people per square mile.
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Please help I’ll give brainiest
