Please answer the question shown in the image below:

There will be about 288,207.08 people living in the city in five years.

The population of a city with a 230,000-person population that increases by 5% year can be determined using the compound interest formula. Compound interest is calculated as follows: A = P(1 + r/n)nt

Where n is the number for times it is added up per year, r is the yearly interest rate, A is the potential value, P is the current value, and t is the length of the period in years. In this instance, the present value was 230,000, the yearly interest rate was 5%, the duration of the period is 5, and the interest compounded once a year. When these values are added for the formula, we obtain:

[tex]A = 230000(1 + 0.05/1)^(1 \times 5)[/tex]

[tex]A = 230000(1.05)^5[/tex]

A = 288,207.08

The growth rate is assumed to stay constant throughout at all times period, which could sometimes not be the case. When predicting population increase, it is also important to take into account additional variables like migration, birth rate, as well as mortality rate.

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Answer:

62

Step-by-step explanation:

180-70-48=62

Angles in a triangle add up to 180.

If the "arithmetic-sequence" which has "first-term" as 25, then it's 13th term will be -71.

The first-term of the "arithmetic-sequence" is denoted as "a₁" is 25,

The common-difference denoted as "d" is -8,

We can use the formula for the nth term of an arithmetic sequence to find the 13th term. The formula is : aₙ = a₁ + (n - 1)d;

where, n is = number of the term we want to find,

We have to find the 13th term, so, n is = 13,

Substituting the values,

We get;

a₁₃ = 25 + (13 - 1)(-8)

a₁₃ = 25 + 12(-8)

a₁₃ = 25 - 96

a₁₃ = -71

Therefore, the 13th term of arithmetic sequence is -71.

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The population density is 5750.2 people per square mile.

The radius of the circular region is 6 mile

Area of the circular region [tex]A =\pi r^2[/tex] sq. units.

Now, put the value of radius in above formula

[tex]A = \pi(6)^2[/tex]

A = 3.14 × 36

A = 113.04 [tex]mile^2[/tex]

Calculate the population density

The population of the circular region is

The formula for the population density of the region is : [tex]\frac{Population}{Area}[/tex]

Substitute 650,000 for population and area as 113.04 [tex]mile^2[/tex]

So, Population density = 650000/113.04

Population density = 5750.2 people per square mile

Hence, population density is 5750.2 people per square mile.

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The scale factor of the flagpole is 1/300.

A scale factor is a representative factor that can be used to either increase or decrease the size of a given object. This is majorly used in scale drawing.

scale factor = length on drawing/ original length

Given a flagpole of height 4.5 m but represented as 1.5 cm, then;

1.5 cm = 0.015 m

Then;

scale factor = 0.015/ 4.5

                    = 15/ 4500

                    = 1/ 300

The scale factor of the representation in the picture is 1/300.

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Answer:

(D). Therefore, the correct answer is

Step-by-step explanation:

the other images. A rotation of 180 degrees clockwise about the point (1,2) means that every point on the blue object (D) will move to a new position that is 180 degrees away from the point (1,2) on a circle. The distance from the point (1,2) to the new position will be the same as the distance from the point (1,2) to the original position.

One way to find the new position is to use the formula:

(x′,y′)=(2x−x0​,2y−y0​)

where (x′,y′) is the new position, (x,y) is the original position, and (x0​,y0​) is the center of rotation. In this case, (x0​,y0​)=(1,2).

For example, let’s take the point (3, 4) on the blue object (D). Applying the formula, we get:

(x′,y′)=(2×3−1,2×4−2)

(x′,y′)=(5,6)

This means that the point (3, 4) on the blue object (D) will move to the point (5, 6) after the rotation.

We can repeat this process for all the points on the blue object (D) and see which image matches the new positions. Alternatively, we can use a visual method by drawing a line from each point on the blue object (D) to the point (1,2) and extending it until it reaches another point on the same circle. That point will be the new position after the rotation.

Using either method, we can see that none of the images match the rotation of the blue object (D). Therefore, the correct answer is:

Based on the table, statement which is true is C) About 20% of the students prefer Orange.

To find the correct answer, we need to calculate the total number of students surveyed and the number of students who prefer each flavor.

The total number of students surveyed is:

34 + 35 + 36 + 38 + 27 + 35 = 205

The number of students who prefer Chocolate is:

34 + 38 = 72

The number of students who prefer Mint is:

35 + 27 = 62

The number of students who prefer Orange is:

36 + 35 = 71

So, the correct statement is:

C. About 20% of the students prefer Orange.

To calculate this, we can use the following formula:

Percentage of students who prefer Orange = (Number of students who prefer Orange / Total number of students surveyed) x 100

= (71 / 205) x 100

= 34.63% (rounded to the nearest whole number)

Since the percentage is closest to 20%, we can conclude that about 20% of the students prefer Orange. Therefore, option C is correct.

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The statement "individuals who smoke one pack of cigarettes per day have a 1 in 250 lifetime probability of developing lung cancer" is an example of statistical analysis.

This statement uses an observed relationship between smoking and lung cancer to estimate the probability of developing lung cancer over a lifetime of smoking one pack of cigarettes per day. This estimate is based on statistical data collected from studies that have observed the association between smoking and lung cancer over many years.

This type of analysis is often used in epidemiology and other areas of public health to estimate the risk of various health outcomes based on observed relationships between risk factors and outcomes.

These estimates can be used to inform public health policies and interventions aimed at reducing the prevalence of risk factors and improving health outcomes.

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The slope of the line is 2/5 or 0.4 as a decimal.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

Let's use the given points (-5,0) and (5,4) to find the slope:

slope = (4 - 0) / (5 - (-5)) = 4/10 = 2/5

We subtract the y-coordinates and x-coordinates of the two points separately to find the change in y and change in x, respectively, and then divide the change in y by the change in x to get the slope.

Therefore, the slope of the line is 2/5 or 0.4 as a decimal.

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The values of t that place 85% of the area in the middle of the distribution are between -3.379 and 3.379.

To find the values of t that place 85% of the area in the middle of the distribution, we need to find the t-scores that correspond to the 7.5th and 92.5th percentiles of the t-distribution with 46 degrees of freedom.

We can use a t-table or a statistical software to find these values. Using a t-table, we can look up the critical t-values for the two tails of the distribution that include 7.5% and 92.5% of the area.

For a two-tailed test at the 5% significance level with 46 degrees of freedom, the critical t-value is approximately 2.013.

To find the t-scores for the 7.5th and 92.5th percentiles, we need to multiply the critical t-value by the corresponding t-multiplier for the degrees of freedom. For 46 degrees of freedom, the t-multiplier is approximately 1.678.

Thus, the t-score that corresponds to the 7.5th percentile is -2.013 x 1.678 = -3.379, and the t-score that corresponds to the 92.5th percentile is 2.013 x 1.678 = 3.379.

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The given question is incomplete, the complete question is:

Consider a t distribution with 46 degrees of freedom. What values of t place 85% of the area in the middle of the distribution?

Answer:

50 m

Step-by-step explanation:

BC if she walked 20 metres from the history class and 30 for the art it's 50 m

The radius of the hemisphere with a volume of 66 cm³ is 3.2 cm.

A hemisphere is gotten when a sphere is cut into two equal halves.

The volume of a hemisphere is expressed as;

V = (2/3) × πr³

Where r is the radius and π is pi ( π = 3.14 ).

Given that:

To solve for the radius r, plug the value of V into the above formula and solve for r.

V = (2/3) × πr³

66 cm³ = (2/3) × πr³

66 cm³ = (2/3) × 3.14 × r³

r³ = (66 cm³) / (2/3)3.14

[tex]r^3=\frac{66 cm^3}{(2/3)3.14} \\\\r = \sqrt[3]{\frac{66 cm^3}{(2/3)3.14} } \\\\r = 3.2[/tex]

r =  3.2 cm

Therefore, the radius is 3.2 centimeters.

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Answer:

Let x be the length of one side of the square. Then, the perimeter of the square is 4x.

Each rectangle has two sides that are equal in length to the side of the square, and two sides that are equal in length to some other value y. Therefore, the perimeter of each rectangle can be expressed as:

2x + 2y = 20

Simplifying this equation, we get:

x + y = 10

We can use this relationship to solve for y in terms of x:

y = 10 - x

The area of each rectangle is given by:

Area = x*y

Substituting y = 10 - x, we get:

Area = x*(10-x)

Area = 10x - x²

To find the area of each rectangle, we need to solve for x. We know that the area of the square is 44 cm², so:

x² = 44

x ≈ 6.63 cm

Now we can find the area of each rectangle:

Area = 10x - x²

Area = 10(6.63) - (6.63)²

Area ≈ 38.85 cm²

Therefore, each rectangle has an area of approximately 38.85 cm².

The quotient of the rational expression is 3(x + 5)/2(2x+5)

From the question, we have the following parameters that can be used in our computation:

3x/2x+5 divided by 2x/x+5

Express properly

So, we have

3x/2x+5 ÷ 2x/x+5

Express as products

So, we have

3x/2x+5 * x+5/2x

Cancel out x

So, we have

3/2x+5 * x+5/2

Evaluate the products

3(x + 5)/2(2x+5)

Hence. the solution is 3(x + 5)/2(2x+5)

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Answer:

(n * (n - 1)) / 2

Step-by-step explanation:

If we have n collinear points, then we can draw n - 1 non-overlapping rays starting from any point on the line. This is because if we choose any two points on the line, then we can draw a unique ray passing through them, and since there are n choose 2 pairs of points on the line, we can draw n choose 2 = (n * (n - 1)) / 2 rays passing through them. However, each of these rays is counted twice (once for each of its endpoints), so we divide by 2 to get the final answer.

Therefore, the number of distinct rays that can be drawn from n collinear points is:

(n * (n - 1)) / 2

Note that this formula assumes that no three points are collinear, as otherwise, the number of rays would be infinite.

Answer:

350

Step-by-step explanation:

C = 40g + 15s

C = 40(7) + 15(4)

C = 280 + 70

C = 350

Answer:130

Step-by-step explanation:

2 x 115 to find measure of major arc. Then 360 - 230 = 130

The most frequent response was 1 book. 6 students said that they read 1 book.

In the histogram provided, we can see that 3 students read 0 books while 6 students read 1 book. 4 students read 2 books and 1 student read 3 books. 1 student read 4 books and 2 students read 5 books.

Finally, 1 student read 10 books. In the provided data, it is clear that the most frequent response was the 6 students who said that they read 1 book each.  This figure was greater than the other responses.

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The minimum number of children's tickets sold is 97 and the minimum number of adult tickets sold is 297.

Let's start by setting up two equations based on the given information:

Let x be the number of children's tickets sold.

Then, the number of adult tickets sold is x + 200.

The revenue from the children's tickets is 18x, and the revenue from the adult tickets is 11(x + 200).

The total revenue is the sum of these two:

Total revenue = 18x + 11(x + 200)

Simplifying this expression:

Total revenue = 18x + 11x + 2200

Total revenue = 29x + 2200

We also know that the total revenue is at least $5000. So, we can set up an inequality:

Total revenue ≥ 5000

Substituting the expression for the total revenue, we get:

29x + 2200 ≥ 5000

Subtracting 2200 from both sides:

29x ≥ 2800

Dividing both sides by 29:

x ≥ 96.55

Since we can't sell a fraction of a ticket, we need to round up to the nearest whole number, which gives us:

x ≥ 97

So, the minimum number of children's tickets sold is 97.

x + 200 = 97 + 200 = 297

Therefore, the minimum number of children's tickets sold is 97 and the minimum number of adult tickets sold is 297.

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If Paul mows 3 lawns, he needs to wash at least 3 cars to earn enough money to buy the concert ticket.

Let's assume that Paul mows x lawns and washes y cars. Using the unitary method, we can find how much money Paul earns from mowing one lawn and washing one car.

Paul earns $30 for each lawn he mows, so he earns $30/1 lawn or $30 per lawn.

Similarly, Paul earns $15 for each car he washes, so he earns $15/1 car or $15 per car.

Now, to find the total amount of money Paul earns by mowing x lawns and washing y cars, we can use the following equations:

Total money earned = (Money earned per lawn) x (Number of lawns mowed) + (Money earned per car) x (Number of cars washed)

Total money earned = ($30/lawn) x (x lawns) + ($15/car) x (y cars)

Total money earned = $30x + $15y

We need to find the values of x and y such that the total money earned is at least $125, which is the cost of the concert ticket. So we can write:

$30x + $15y ≥ $125

We can simplify this equation by dividing both sides by $5:

$6x + $3y ≥ $25

Now we can find the values of x and y that satisfy this inequality. One way to do this is to use trial and error. We can start by assuming different values of x and finding the corresponding value of y that satisfies the inequality. For example:

If x = 2, then 6x = 12 and the inequality becomes:

12 + 3y ≥ 25

3y ≥ 13

y ≥ 4.33

So if Paul mows 2 lawns, he needs to wash at least 5 cars to earn enough money to buy the concert ticket.

Similarly, if we assume x = 3, then 6x = 18 and the inequality becomes:

18 + 3y ≥ 25

3y ≥ 7

y ≥ 2.33

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Answer: Incomplete question

(i think)

Step-by-step explanation:

The probability of  number of times we draw a card is 3.

The probability of drawing a heart or a face card on any given draw.

There are 16 such cards in the deck (4 kings, 4 queens, 4 jacks, and 4 hearts), out of a total of 52 cards. So the probability of drawing a heart or a face card on any given draw is 16/52, which simplifies to 4/13.
Now, to calculate the expected number of draws until we get a heart or a face card, we can use the formula:
Expected number of draws = 1/P(event)
where P(event) is the probability of the event happening. In this case, the event is drawing a heart or a face card, so:
Expected number of draws = 1 / (4/13) = 13/4 = 3.25
So on average, we would expect to draw a card 3.25 times before getting a heart or a face card. However, since we cannot draw a fraction of a card, the actual number of draws will either be 3 or 4.

Hence,  the expected number of times we draw a card is 3 (or 4, if the last card drawn is not a heart or a face card).


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The value of x is 21.75 unit.

We have,

Scale Factor = 1 : 7 1/4 = 1 : 29/4

and, the dimension of Figure A = 3 unit

Now, Using the scale factor

 x/3 = 29/4

4x = 87

x= 87/4

x = 21.75 unit

Thus, the dimension of Figure B is 21.75 unit.

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Step-by-step explanation:

area = pi  * radius ^2

36 ft^2 = pi * radius^2

radius = 3.39 feet                    diameter = 2 x radius = 6.77 ft

Circumference = pi * diameter = 21.27 ft

The difference in density, in pounds per cubic foot, between the box A and box B to the nearest whole number is 3. So, correct answer is option b.

The density of the body is the mass per unit volume and to find the difference in density we have to find density of each box.

Density of box A = Mass of box A / Volume of box A

= 24.6 pounds / 4 cubic feet

= 6.15 pounds per cubic foot

Density of box B = Mass of box B / Volume of box B

= 37.4 pounds / 4 cubic feet

= 9.35 pounds per cubic foot

The difference in density,

Density box A - density box B.

= (9.35- 6.15)pounds per cubic foot

= 3.2 pounds per cubic foot

To the nearest whole number, the difference in density is 3. Therefore, the answer is (b) 3.

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Answer: perdon, no se

Step-by-step explanation:

To write a linear function f(x) with the values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation:

f(x) - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Using the two given points, we have:

f(3) = -4 and f(5) = -4

This means that (3, -4) and (5, -4) are two points on the line.

To find the slope, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-4 - (-4)) / (5 - 3)

m = 0 / 2

m = 0

Therefore, the slope of the line is 0.

Using the point-slope form with the point (3, -4) and the slope m = 0, we get:

f(x) - (-4) = 0(x - 3)

f(x) + 4 = 0

f(x) = -4

So, the linear function f(x) that passes through the points (3, -4) and (5, -4) is f(x) = -4.

The statement which most likely represent "dependent-samples" is (d) study which compares standardized "test-scores" before and after course is taken.

The scores obtained before and after are linked, as they are obtained from the same group of individuals, and are therefore dependent samples.

For example, suppose a group of students is given a standardized test before and after taking a preparation course.

The scores obtained before the course are likely to be related to the scores obtained after the course, as they are both measures of the same group of students.

If the course has a significant impact on the scores, the before-and-after scores will likely be correlated, and the samples will be dependent.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Which of the following are most likely to be dependent samples?

(a) A study that compares the mean wait times at two different hospital emergency rooms

(b) A study that compares the salaries earned by men and women in the same job position

(c) A study that compares the weight gain for puppies who eat two different brands of food

(d) A study that compares standardized test scores before and after a course is taken.

Look at what angle G is looking at what arc

As you can kinda tell it is arc CDF

And also here an image for the intercepted arc rule and how it works

The difference between the 2 interest amounts is $62.50

Simple interest is a non-compounded loan where the interest is calculated off the remaining principal balance of the loan.

It does not include compounding interest and applies to both loans and savings accounts held by banks

Number of days 28 and 29 days

Principal =  $125,000

rate = 5%

The simple interest formula

A = P(1 + rt)

can be used to calculate total principal plus simple interest on an investment/savings. This formula is derived from A = P + I, where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

A = P(1 + rt)

A= 125000(1+0.05*28)

A= 125000(2.4)

A= 300000

and A = P(1 + rt)

A= 125000(1+0.05*29)

A= 125000(2.45)

A= 306250

Therefore the difference the 2 interest amounts is $( 306250-300000) = $62.50

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