The scatter plot above shows the average rent (in dollars) for a 111-bedroom apartment in New York City each year between 200020002000 and 201320132013. Which of the following is the best estimate of the average change in rent each year

The solution is, The perimeter is 37inches.

The perimeter of a figure is the sum of the whole sides of the figure.

Therefore, the perimeter of the entire shape can be calculated as follows:

The shape is made of one half-circle attached to an equilateral triangle

Therefore,

circumference of the semi-circle = πr

r = 8 / 2 = 4 inches

circumference of the semi-circle = 4π

Hence,

perimeter of the shape = 8+8+8+4π

perimeter of the shape = 24+ 4(3.14)

perimeter of the shape = 24 + 12.56

                                       = 36.56

Therefore, perimeter of the shape = 37 inches (approx)

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The variable "difficulty level" in the data set is a categorical variable.

A variable in math is a symbol or letter that is used to represent a number or set of numbers in an equation or expression. Variables can be anything such as x, y, a, b, c, etc. Variables are used to represent unknown values or values that can change. They allow equations and expressions to be flexible and can help make problem-solving easier.

Categorical variables are those that have discrete categories or labels, such as "moderate", "easy", and "hard". They are usually qualitative in nature and do not have numerical values. In this case, the difficulty level of each hole is indicated by a label, which can be used to classify the hole accordingly.

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Answer:

difficulty level

Step-by-step explanation:

took the test

x add 2x add 3x equals 6x

6x equals 180 degrees so x equals 180 divdied by 6 which equals 30

x is 30

30 hours of use by the Washington family sprinkler and 35 hours of use by the Bennett family sprinkler.

We can find how long was each sprinkler used by substitution method.

Let W = hours of use by the Washington family

65 - W = hours of use by the Bennett family

According to the question we get

15W + 40(65 -W) = 1850

15W + 2600 - 40W = 1850

-25W = -750

W = 30

Now, put the value of W in 65 - W to calculate the hours used by the Bennett family

65 - W = 65 - 30 = 35

Thus, the amount of time used for sprinklers by the Washington family and the Bennett family is 30 hours and 35 hours, respectively.

--The given question is incomplete, the complete question is

"The Washington family and the Bennett family each used their sprinklers last summer. The water output rate for the Washington family's sprinkler was 15L per hour. The water output rate for the Bennett family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850L. How long was each sprinkler used?"--

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Given

let the value of geometric mean be a and b

a=12

b=7

we know that,

Geometic mean(G.M)=√ab

=√12×7

=√84

=9.16

the geometric mean of 12 and 7 is 9.16

Answer:

a = 8

Step-by-step explanation:

The following inequalities will form a rectangle. Hence, the area of a rectangle is [tex]\displaystyle{A=\Delta x \cdot \Delta y}[/tex]

In this case, [tex]\Delta x[/tex] = 5-1 which is 4, and [tex]\Delta y[/tex] = a - 2. Substitute in:

[tex]\displaystyle{24 = 4\cdot (a-2)}[/tex]

Now solve the equation for a-term:

[tex]\displaystyle{24=4a-8}\\\\\displaystyle{24+8=4a}\\\\\displaystyle{32=4a}\\\\\displaystyle{8=a}[/tex]

Therefore, the value of a is 8 to make the region have an area of 24 square units.

Answer: [tex]4y=-3x+16[/tex]

Step-by-step explanation:

For there to be infinitely many solutions, the equations must represent the same graph.

The points [tex](0,4)[/tex] and [tex](4,1)[/tex] lie on the line. So, the slope is [tex]\frac{4-1}{0-4}=-\frac{3}{4}[/tex]. As the [tex]y[/tex]-intercept is [tex](0,4)[/tex], the equation is [tex]y=-\frac{3}{4}x+4[/tex].

Multiplying both sides by [tex]4[/tex] yields [tex]4y=-3x+16[/tex].

The radius of convergence of series (cn dn)xn is 14.

The radius of convergence of a power series (cn xn) is the distance from the origin to the point beyond which the series no longer converges. It is denoted by R and it's calculated by using the formula:

R = 1/lim sup|cn|^(1/n)

The radius of convergence of a product of two series (cn xn) and (dn xn) is the minimum of the radius of convergence of the individual series.

So, in this case, since the radius of convergence of the series cn xn is 14 and the radius of convergence of the series dn xn is 15, the radius of convergence of the product series (cn dn)xn is

min(14, 15) = 14

Therefore, the radius of convergence of the product series (cn dn)xn is 14.

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Answer:

The measure of 7 is 118 degrees.

Step-by-step explanation:

You use the straight line with the 62 degree angle on it to solve.

The line is equal to 180 degrees so you subtract 62 from 180.

180-62=118

That gives you the answer of 118 degrees :)

Answer:

Step-by-step explanation:

Use tan(x) = opposite side/adjacent side

x = 74, opposite side = 16, adjacent side = x

tan(74) = 16/x

x = 16/tan(74)

tan(74) = 3.4874

16/3.4874 = 4.5879

x = 4.5879

On solving the provided question, we can say that by probability the value of P(x > 1.05) is 0.16

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The value of P(x > 1.05) is 0.16

н = 0.05 standard deviation

α = 1.0000 mean

Ψ = sample reading

z-score

z = x - u/p

z   =  1.05 - 1 / 0.05

soz

P(x>1.05) = 0.1587

P(x>1.05) =  0.16

Hence, the value of P(x > 1.05) is 0.16

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The amount William will have in his account after 4 years is $5737.50.

The formula for compound interest is

A(t) = P(1 + i)^t

where A(t) is the final amount in the account after t years, P is the initial principal or the amount invested, i is the annual interest rate, and t is the number of years.

In this case, P = 5000 dollars, i = 3.5% (expressed as a decimal), and t = 4 years.

So, to find the final amount in the account after 4 years, we can plug these values into the formula:

A(4) = 5000(1 + 0.035)^4

To calculate this we can use a calculator or use the exponential function, in this case, we get:

A(4) = 5000(1.035)^4

= 5000(1.1475)

= 5737.50

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Answer:

∠ IMN = 70°

Step-by-step explanation:

∠ KIM = ∠ JIL ( vertically opposite angles ), that is

x + y = 102 → (1)

∠ IMN = 3x - 26 ( vertically opposite angles ) , that is

y = 3x - 26 ← substitute into (1)

x + 3x - 26 = 102

4x - 26 = 102 ( add 26 to both sides )

4x = 128 ( divide both sides by 4 )

x = 32

Then

∠ IMN = y = 3x - 26 = 3(32) - 26 = 96 - 26 = 70°

Answer:

--------------------------

Set up equations for the vertical angles:

Rewrite the second equation:

Add up this with the first equation:

Find y:

The angle IMN is same as y, so its measure is 70°.

Therefore , the solution of the given problem of slope comes out to be

slope m = 1/5.

How steep a line is defined by its slope. A gradient overflow is a feature of a gradient-based equation. The slope is calculated by dividing the average horizontal differences (run) between two locations by the vertical difference (rise) between the same two locations. The hill type of an equation is used to represent the problem of a fixed path and is written as y = mx + b. The line's y-intercept lies where the grading is m, a = b, where (0, b). The slope y and y-intercept are the following for the trigonometric functions y = 3x - 7: (0, 7). Where the line's slope is m and b is where the y-intercept is located.

Here,

Given:

Section A: If y=2(x)1/2 If f'(a)=a-1/2 and f'(a)=y'=dy/dx=x-1/2, then m=a-1/2.

For point (x1, y1), section b) point slope y-y1=m(x-x1), x=a, y-4=4-1/2 (x-4)

y=1/2(x-4)+4

y=1/2x-2+4

y=1/2x+2

Y-10=25-1/2 at point (25,10) (x-25)

y=1/5(x-25)+10

y=1/5x-5+10

y=1/5x+5

Therefore , the solution of the given problem of slope comes out to be

slope m = 1/5.

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Answer:

Part A: 8+10 = 18.

Part B: (x -5)(x+0.5)

Step-by-step explanation:

Part A: to find the greatest common factor of the expression, multiply 4 x -10 to get -40. Then, find the factors of -40 which add up to 18. These factors are 8+10. You may need to tweak around with the signs of the numbers.

Part B:you could just put the equation in a graphing calculator or use the quadratic formula. But, re-write the middle with -5 and 0.5, like this: 4x^2-5x+0.5x-10. Then do 4x(x-0.5) + (5x +10). After that, rewrite the equation again like this: (4x-0.5)(5X+10)

Answer:

Part A: the common factor is 2 because it is the most occurring.

Part B: 2(2x-1)(x+5)

Part C: 

(2x2x-2)(x+5)

(4x-2)(x+5)

4x+4x5x-2x-2x5

4x1+1+4x5x-2x-10

4x2+20x-2x-10

=4x2+18x-10

Answer: $900

Step-by-step explanation:

Jenny earns $375 when she works 5 hours.

So the money she earns per hour of work can be found by dividing 375 by 5, which is 75.

The question is asking for how much money she earns when she works 12 hours. You can find this by multiplying the amount of money earned per hour of work times 12.

75*12 = 900

Therefore, the answer is $900.

All three parts of the given problem regarding trails, paths and walks have been solved below.

A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.

The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4

there can be 44 ways

so,

number of paths from a to c = 4

number of trails from a to c = 4+3!(4)= 28

number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44

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A sample is a representative sample of the a population which serves as an accurate representation of the whole group.

A sample is a group of units chosen to represent all the individuals in the population. Because just a portion of the population was counted, it is only a partial enumeration. To estimate the features for the total population of interest, data from of the meet the expected is used.

Even when they are clinically inconsequential, tiny differences have a tendency to become statistically significant differences in very large samples. Because of this, therapy decisions may be unsuccessful for both researchers and doctors.

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Monetary conversion is essentially the price measure of one currency against another.

A conversion rate is the ratio between two currencies, most commonly used in foreign exchange markets, which designates how much of one currency is needed to exchange for the equivalent value of another currency. Conversion rates fluctuate regularly for all currencies traded in forex markets.

Given here: monetary conversion

Customers exchange their native currency for the currency of the country they are visiting. On the other hand, currency conversions are the process of converting prices to match the customer's native currency.

For example: Suppose you have 40 cents, how many cents would you need to make one dollar!

You can understand this through the following conversion. Since, $1 = 100¢, therefore, we subtract 40 cents from 100 cents. That is 100 cents – 40 cents = 60 cents. Since you already have 40¢, you would need 60¢ more to make it a dollar. This is how we can express 60 cents with different coins.

Hence, Monetary conversion is essentially the price measure of one currency against another.

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there you go

to solve it you flip the equation to 15x+3=y

then add -3 to both sides and you get 15x=y-3 then divide both sides by 15 and you get x=1/15y+-1/15

On solving the provided question, we can say that from percentage Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

proportion of chocolate in Arjun's beverage == 20  X 100/90 = 22.22%

Eli's beverage contains the following amount of chocolate:= 45/180 X 100 = 25

Eli's hot cocoa has more chocolate flavor because his chocolate percentage is higher.

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The perimeter of the shaded region is 18 units.

The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle's circumference.

The result of the lengths of the sides is the perimeter of any polygon. In the case of a triangle: Perimeter = Sum of the three sides.

If we connect the centers of the circles, this will form an equilateral triangle.

The two sides of this triangle meeting at any vertex will pass through the points of tangency where one circle meets the other two, these two tangent points form the endpoints of one side of the shaded region.

Since the vertex angle of the triangle = 60°, then the arc formed by one side of the shaded region

= 1/6 the circumference of the circle

= 1/6 × 36

= 6 units

So, the perimeter of the shaded region is 3 times this

= 3 × 6

= 18  units

Therefore, the perimeter of the shaded region is 18 units.

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The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits

The statement that "an inspector chooses 100 bearings from the container that have mean diameter 2.5009 cm. Because this is outside the specified limits, the container is mistakenly rejected" is not accurate. The mean diameter of 2.5009 cm is calculated from a sample of 100 bearings, and it is only an estimate of the true mean diameter of all the bearings in the container. It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.

In order to make a decision about whether to reject or accept the container, the inspector should use statistical techniques that take into account the sample size and the level of precision required.

It's also important to note that the tolerance of 0.0006 cm is a very small margin, and it's likely that the manufacturing process can't achieve such a precision. The inspector should consider if the sample size and the precision required are aligned with the manufacturing process.

Therefore, The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.

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Based on the given linear equations, the number of 7th-grade students and 8th-grade students is 120 students and 150 students respectively. Hence, Mia's solution is correct.

The value of h in the given linear equation is determined as follows:

9 rectangles = 270 students

1 rectangle = 30 students

7 + h = 11

h = 11 - 7

h = 4

The number of 7th-grade students and 8th-grade students is then determined as follows:

7th-grade students:

4 * 30 = 120 students

8th-grade students:

5 * 30 = 150 students

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The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.

The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.

Here we have given that  the ratio of the leading coefficients and the equation of the horizontal asymptote.

The term horizontal asymptote is known as  a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.

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By applying a linear equation, it is concluded that the slope of the line is 2 and the y-intercept is -4

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is y = mx + k, where m is the slope of the line and k is the y-intercept.

First, we draw a triangle ABC whose vertices are A(0, 8), B(2, 0),C(8, 0)

Then we determine point D as the midpoint of AC, so D(4,4)

Now we use B(2,0) and D(4,4) to determine slope of the line (m):

m = (y₂-y₁) / (x₂-x₁)

    = (4-0) / (4-2)

    = 4/2  

    = 2

To find the y-intercept of the line, we pick one of the points on the line. Let's say we pick point (6,8). Then we put those values into the equation:

y = mx + k

8 = 2*6 + k

8 = 12 + k

k = -4

Thus the y-intercept of the line is - 4

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Answer:

Below

Step-by-step explanation:

sin (91) / 30   = sin x / 17

arcsin (17 * sin (91) / 30 ) = x = 34.5  °

sin (119) / 45 = sin (x) / 20

20 sin (119)/45  = sin x

x = arcsin ( 20 sin (119) / 45) = 22.9°

The rate at which the top of the ladder is moving down the wall = 9 feet/second.

This is a problem of right triangle similarity.

We can use the Pythagorean theorem to find the height of the ladder, which is the hypotenuse of a right triangle.

We can use the relationship between similar triangles to find the rate at which the top of the ladder is moving down the wall.

Let x be the distance of the base of the ladder from the wall.

We know that the ladder is 26 feet long, so the height of the ladder is the square root of (26^2 - x^2).

We know that the base of the ladder is moving away from the wall at a rate of 3 feet per second.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (height of ladder / x)

When x = 10 feet, the height of the ladder is the square root of (26^2 - 10^2) = the square root of (676) = 26 feet.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (26 feet / 10 feet) = 9 feet/second.

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The equation is y = 3x/5 - 1/5.

Based on the position of two lines: m = 3/5

Write the equation of linear function

Substitute: 1 = 3/5 * 2 + b

Rearrange unknown terms to the left side of the equation: -b = 3/5 * 2 -1

Write as a single fraction:

Find common denominator and write the numerators above common denominator: -b = (3*2)/5 - 1

Calculate the sum or difference: -b = (6 - 5 )/5

Divide both sides of the equation by the coefficient of variable: b = -1/5

Substitute: y = 3x/5 - 1/5

Find the required form: y = 3x/5 - 1/5.

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