Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure.
A(-5,4)A(−5,4), B(4,4)B(4,4), C(4,1)C(4,1), D(1,1)D(1,1), E(4,-3)E(4,−3), F(4,-6)F(4,−6), G(-5, -6)G(−5,−6)

We would expect John to weigh approximately 216.4 pounds at the end of week 8.

To answer this question, we need to fit a regression model to the data to determine the relationship between the number of calories burned and John's weight. We can use linear regression to find the line of best fit that represents this relationship.

We can see that there is a negative relationship between the number of calories burned and John's weight, which is consistent with the statement that "the more someone exercises the less they will weigh." We can use linear regression to find the line of best fit that represents this relationship.

Using a linear regression model, we get the following equation:

Weight = 219.9 - 0.0007 * Exercise

We can use this equation to predict John's weight at the end of week 8 based on the number of calories he burned. Plugging in Exercise = 5000, we get:

Weight = 219.9 - 0.0007 * 5000

Weight = 216.4

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The value of the composite functions of h(g(x)) is h(g(x)) = -20x + 6.

In mathematics, a function is composed when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

Given that, h(x) = 4x + 6 and g(x) = -5x.

The value of h(g(x)) is calculated by substituting x = -5x in the equation of h(x).

h(g(x)) = 4(-5x) + 6

h(g(x)) = -20x + 6

Hence, the value of the composite functions of h(g(x)) is h(g(x)) = -20x + 6.

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Each bag contains 20 pennies and we have 6 such bags.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information let the number of pennies in each bag is 'x'

and we have 6 such bags.

Therefore, The equation can be formed as,

6(10 + x) = 180.

60 + 6x = 180.

6x = 180 - 60.

6x = 120.

x = 120/6.

x = 20.

So, The number of pennies in each bag is 20.

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The binomial distribution P( x = 4 ) if n = 5 and p = 0.7 is 0.3602.

Binomial probability distribution determines the probability of a discrete random variable.

Given that;

Using the formula, probability mass function;

P( X = x ) = ⁿCₓPˣ( 1 - P )ⁿ⁻ˣ

P( X = x ) = ⁵Cₓ × 0.7ˣ × ( 1 - 0.7 )⁵⁻ˣ

Now for P( x = 4 )

P( X = 4 ) = ⁵C₄ × 0.7⁴ × ( 1 - 0.7 )⁵⁻⁴

P( X = 4 ) = ⁵C₄ × 0.7⁴ × ( 1 - 0.7 )

P( X = 4 ) = 5 × 0.2401 × 0.3

P( X = 4 ) = 0.3602

Therefore, the value of P( x = 4 ) is 0.3602.

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The reason why AC must be congruent to BD is the hypotenuse - leg theorem and CPCTC

According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and one leg are congruent with their corresponding hypotenuse and one leg in another right triangle.

The problem have the hypotenuse and a leg of the two triangles stated to be equal. This completes the requirement for the theorem and hence the two triangles are said to be equal

Then applying the CPCTC theorem which says that if two triangles are congruent, every corresponding part of one triangle is congruent to the other side hence, the sides AC = BD

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In response to the above question, we may state that in the rectangle [tex]4,241,455[/tex] gallons [tex]= 4,570,000[/tex] Cubic feet[tex]x 7.48052[/tex] Gallons/cubic foot.

In the geometry of the Euclidean plane, a rectangle is a quadrilateral having four right angles. You may also refer to it as an equiangular quadrilateral, meaning that all of its angles are equal. A straight angle could also be present in the parallelogram.

Rectangles with four evenly sized sides are called squares. Four 90-degree vertices and equal parallel sides make up a quadrilateral with the shape of a rectangle.

As a result, it's also known as an equirectangular rectangle. A rectangle is also referred to as a parallelogram, since its opposite sides are parallel and equal.

Volume of rectangular solid is L × W × H

[tex]50 × 30 × 20 = 30000[/tex] cubic yards

[tex]50 × 30 × 6 = 9000[/tex]cubic yards

[tex]30000–9000 = 21000[/tex]cubic yards

This needs to be converted to gallons of water. We are given the conversion factor between a gallon of water and cubic feet, therefore even though we have cubic yards rather than cubic feet, we must first convert the [tex]21,000[/tex] Cubic yards to cubic feet.

A cubic yard has a volume of 27 cubic feet.27 cubic feet per cubic yard times [tex]21,000[/tex]cubic yards equals 567,000 cubic feet.

7.48052 gallons make up 1 cubic foot.

Therefore, 4,241,455 gallons are equal to 567000 cubic feet times 7.48052 gallons/cubic foot.

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Answer:

24 people

Step-by-step explanation:

German : 4 + (4/2) = 6

Norwegian : 4 + 4 + (4/2) = 10

Italian : 4 + 4 = 8

Add them all :

6 + 10 + 8 = 24

Answer: To calculate the total cost of the units in beginning inventory for each year, we need to multiply the number of units by the per-unit cost:

Year 1: Cost of units in beginning inventory = 0 units * $13 + $5 + $5 = $0

Year 2: Cost of units in beginning inventory = 1,000 units * ($13 + $5 + $5) = 1,000 * $23 = $23,000

To calculate the total cost of the units produced during each year, we need to multiply the number of units by the per-unit cost:

Year 1: Cost of units produced = 10,000 units * ($13 + $5 + $5) = 10,000 * $23 = $230,000

Year 2: Cost of units produced = 9,000 units * ($13 + $5 + $5) = 9,000 * $23 = $207,000

To calculate the total cost of the units sold during each year, we need to multiply the number of units sold by the per-unit cost:

Year 1: Cost of units sold = 9,000 units * ($13 + $5 + $5 + $6) = 9,000 * $29 = $261,000

Year 2: Cost of units sold = 8,000 units * ($13 + $5 + $5 + $6) = 8,000 * $29 = $232,000

To calculate the total variable manufacturing costs for each year, we need to sum the costs of the units in beginning inventory, units produced, and units sold:

Year 1: Total variable manufacturing costs = $0 + $230,000 + $261,000 = $491,000

Year 2: Total variable manufacturing costs = $23,000 + $207,000 + $232,000 = $462,000

To calculate the total fixed manufacturing overhead costs for each year, we need to add the fixed manufacturing overhead per year to the total variable manufacturing costs:

Year 1: Total manufacturing costs = $491,000 + $90,000 = $581,000

Year 2: Total manufacturing costs = $462,000 + $90,000 = $552,000

To calculate the total variable selling and administrative expenses for each year, we need to multiply the number of units sold by the variable selling and administrative expense per unit:

Year 1: Total variable selling and administrative expenses = 9,000 units * $6 = $54,000

Year 2: Total variable selling and administrative expenses = 8,000 units * $6 = $48,000

To calculate the total selling and administrative expenses for each year, we need to add the fixed selling and administrative expenses per year to the total variable selling and administrative expenses:

Year 1: Total selling and administrative expenses = $54,000 + $61,000 = $115,000

Year 2: Total selling and administrative expenses = $48,000 + $61,000 = $109,000

Step-by-step explanation:

Answer:yo no se come ablar ingles

Step-by-step explanation:

The distance the ladder goes up the wall is approximately 12.14 meters.

Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.

We can use trigonometry to solve this problem.

Let's call the distance the ladder goes up the wall "d". We can use the angle the ladder makes with the horizontal to find the length of the ladder that is leaning against the wall.

We know that the ladder is 15.5 m long, so we can use the sine function to find the length of the ladder that is leaning against the wall:

sin(53° 25') = d/15.5

We can solve for "d" by multiplying both sides by 15.5:

d = 15.5 * sin(53° 25')

Using a calculator, we get:

d ≈ 12.14 m

Therefore, the distance the ladder goes up the wall is approximately 12.14 meters.

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The solution of the radical expression ∛(4+3) will be 1.91.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

Given that the expression is ∛(4+3). The solution of the medical expression will be,

E = ∛ ( 4 + 3)

E = ∛(7)

The value of the cube root of the number 7 will be,

E = 1.91

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The number of adult and children in the group is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

There were a total of 28 people, hence:

x + y = 28

y = 28 - x.

They spent a total of $308, hence:

15x + 8y = 308.

Replacing the second equation into the first, the value of x is given as follows:

15x + 8(28 - x) = 308

7x = 84

x = 84/7

x = 12.

Then the value of y is given as follows:

y = 28 - x = 28 - 12 = 16.

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The equation that can be used to find the length of the remaining side is z² = 14² - 9²

Using the Pythagorean theorem that states that the square of the hypotenuse side is equal or equivalent to the sum of square of the other two sides.

This is represented as;

x² = y² + z²

Given that the parameters are enumerated as;

Now, substitute the values

14² = 9² + z²

collect like terms

z² = 14² - 9²

Hence, the equation is z² = 14² - 9²

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The length of the remaining side can be calculated using 14² = x² + 9² is 10.7 units

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:

hypotenuse² = adjacent² + opposite²

Let x represent the missing side.

The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Hence:

14² = x² + 9²

x² = 14² - 9²

x² = 115

x = 10.7 units

The length of the remaining side is 10.7 units

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The first five terms of the arithmetic sequence are 300, 280, 260, 240, 220 and the common difference d is 20

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

Given is an arithmetic sequence, [tex]a_{k+1} = a_k-20[/tex] and [tex]a_1 = 300[/tex],

we need to find the first five terms,

a₂ = a₁-20

a₂ = 300-20

a₂ = 280

a₃ = a₂-20

a₃ = 260

a₄ = a₃ - 20

a₄ = 240

a₅ = a₄ - 20

a₅ = 220

aₙ = aₙ₊₁ - 20

d = 20

Hence, the first five terms of the arithmetic sequence are 300, 280, 260, 240, 220 and the common difference d is 20

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Answer:

To approximate the area between the x-axis and the graph of f(x) = x^2 + 4 over the interval [0, 2], we can use the right rectangle method, where the heights of the rectangles are given by the value of the function at the right endpoint of each subinterval. If we divide the interval [0, 2] into 4 equal subintervals of width 0.5, the right endpoint of each subinterval would be 0.5, 1, 1.5, 2.

The height of the first rectangle would be f(0.5) = 0.5^2 + 4 = 4.25, the height of the second rectangle would be f(1) = 1^2 + 4 = 5, the height of the third rectangle would be f(1.5) = 1.5^2 + 4 = 6.25, and the height of the fourth rectangle would be f(2) = 2^2 + 4 = 8.

The sum of the areas of the rectangles is equal to (0.5) × (4.25 + 5 + 6.25 + 8) = (0.5) × 24 = 12.

So, the approximate area between the x-axis and the graph of f(x) = x^2 + 4 over the interval [0, 2] is 12.

EFGH is a square as all its sides are equal and all its angles are right angles.

Let's start by considering the sides. We know that AE = BF = CG = DH, and we also know that the opposite sides of a square are parallel and equal in length. Therefore, we can say that:

AE = DH (opposite sides of square ABCD)

BF = AE (opposite sides of square ABFE)

CG = BF (opposite sides of square BCGF)

DH = CG (opposite sides of square CDHG)

Thus, we have shown that all four sides of EFGH are equal in length, and so EFGH may be a square.

Now, let's consider the angles. Since AE and BF are opposite sides of a square, we know that angle AEB = angle BFA = 90 degrees. Similarly, we can show that angle BFC = angle CGD = angle DHE = 90 degrees.

Next, we observe that E, F, G, and H are midpoints of the sides of square ABCD. Therefore, we can say that:

EF || AB, and EF = 1/2 * AB

FG || BC, and FG = 1/2 * BC

GH || CD, and GH = 1/2 * CD

HE || DA, and HE = 1/2 * DA

Since opposite sides of a square are parallel, we can also say that:

EF || GH, and EF = GH

FG || HE, and FG = HE

Now, we have two pairs of parallel sides with equal lengths, which means that opposite angles are equal. Therefore, we can say that:

angle FEG = angle GHE (corresponding angles)

angle EFG = angle HEF (corresponding angles)

Combining these with the right angles we established earlier, we have shown that all four angles of EFGH are right angles, and so EFGH is a square.

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A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.

B)  If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.

In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.

Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.

Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.

To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.

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The 55th term of the arithmetic sequence is 131.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the nth term of the sequence is aₙ= -1+3(n−1)

Here, the 55th term in the sequence is

a₅₅= -1+3(55-1)

= -1+132

= 131

Therefore, the 55th term is 131.

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The amount of profit that the new coffee shop will make after 6 years is; 35.8 thousand dollars

The quadratic equation that represents the annual profit made by the new coffee shop in thousands of dollars is;

p(t) = 0.3t² + 5.5t - 8

where;

t is the number of years for which the profit is measured

Thus, after 6 years, we will substitute 6 for t in the quadratic equation to get;

p(6) = 0.3(6)² + 5.5(6) - 8

p(6) = 10.8 + 33 - 8

p(6) = 35.8 thousand dollars

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Answer:

x = -5

Step-by-step explanation:

Since both horizontal lines are parallel, the marked angles are corresponding angles and are congruent. This, we can set them equal to each other:

47 = 10x + 97

Next, isolate “x” to find the value of “x”:

47 - 97 = 10x

-50 = 10x

-5 = x

On solving the provided question we can say that 2 decimal places =29.92 miles per hour

Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the

top speed is 26 knots,

1 knot = 1.15078 miles per hour

26 knots = 26 * 1.15078

= 29.92028 miles per hour

2 decimal places

=29.92 miles per hour

boat has a  displacement of 96000 tons

1 ton = 0.907185 metric tonnes

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

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Answer: 38

Step-by-step explanation:

4 x 9.5 can also be seen as 2 (2 x 4.75)

To solve this,

1) 2 x 2 = 4

2) 2 x 4.75 = 9.5

4 x 9.5 = 38.

Simple ways without distributive property is just 4 x 9.5 which is equal to 38.

If it is like 4(9.5) then the answer would be 4 * 9.5 which is 38. But if you were asking about this, 4(9 + 5) then these would be the steps.

So, distributive property is A(B + C) so A = 4 and B = 9 and C = 5.

So the setup would be 4(9 + 5).

And in order to solve this we have to distribute the 4 to 9 and 5. And after that, we remove the parenthesis. So, we get 36 + 20. And that would equal 56. So,

or

Answer:

5,840,000

Step-by-step explanation:

Let P be the population after x years. The population after 24 years is 2P. So, we have:

P = 365,000 * 2^(x/24)

To find the population after 96 years, we plug in x = 96:

P = 365,000 * 2^(96/24) = 365,000 * 2^4 = 365,000 * 16 = 5,840,000

So, the population of the city will be 5,840,000 after 96 years.

Answer:

Step-by-step explanation:

Answer:

1. The monthly premium for workers' compensation insurance for the Winston Tree Farm and Nursery can be calculated as follows:

Monthly payroll: $3,560 Base rate: $5.93 per $100 Rate per $1,000: $5.93 * 10 = $59.30 Premium: $3,560 / 1,000 * $59.30 = $209.51

So, the monthly premium for workers' compensation insurance is $209.51.

2. The amount that Takis Machine Shop will pay each year for workers' compensation insurance can be calculated as follows:

Old base rate: $9.40 per $100 New base rate: $10.40 per $100 Monthly payroll: $53,896.84 Old rate per $1,000: $9.40 * 10 = $94.00 New rate per $1,000: $10.40 * 10 = $104.00 Old premium: $53,896.84 / 1,000 * $94.00 = $5,045.65 New premium: $53,896.84 / 1,000 * $104.00 = $5,610.71 Increase in premium: $5,610.71 - $5,045.65 = $565.06

So, Takis Machine Shop will pay an additional $565.06 each year for workers' compensation insurance.

3.The real estate tax for the home in Madison County can be calculated as follows:

Market value: $590,000 Rate of assessment: 40% of market value = $590,000 * 0.4 = $236,000 Tax rate: 42.73 mills = 0.04273 Tax: $236,000 * 0.04273 = $10,130.68

So, the real estate tax for the home in Madison County is $10,130.68.

4. The fair market value of Vanesa Vasquez's Roth IRA at age 65 can be calculated as follows:

Contribution: $2,500 Years of contribution: 65 - 35 = 30 Annual interest rate: 7.4% Future value: $2,500 * (1 + 0.074)^30 = $29,706.74

So, the fair market value of her Roth IRA at age 65 is $29,706.74.

The amount of interest earned can be calculated as follows:

Future value: $29,706.74 Present value: $2,500 Interest earned: $29,706.74 - $2,500 = $27,206.74

So, Vanesa Vasquez will have earned $27,206.74 in interest.

5. The interest rate as a percent for the GNMA Mortgage issue bond can be calculated as follows:

Face value: $10,000 Selling price: $10,000 * 103.7% = $10,370.00 Yield: 8.75% Price: $10,370.00 Interest: $10,370.00 - $10,000 = $370.00 Interest rate: ($370 / $10,000) * (12 / 1) = 0.09375 = 9.375%

So, the interest rate for the GNMA Mortgage issue bond is 9.375%, rounded to the nearest hundredth of a percent.

6. Let's call the number of days that Ricardo has to pay back the loan "d".

The interest on the loan can be calculated using the formula:

I = P * r * t

where I is the interest, P is the principal (the amount borrowed, $2,500), r is the annual interest rate as a decimal (7.8% as a decimal is 0.078), and t is the time in years (d divided by 365).

So we have:

I = $2,500 * 0.078 * (d / 365)

We also know that the maturity value of the loan is the sum of the principal and the interest:

$2,548.75 = $2,500 + I

So we can substitute for I:

$2,548.75 = $2,500 + $2,500 * 0.078 * (d / 365)

Expanding the right-hand side:

$2,548.75 = $2,500 + $194.00 * (d / 365)

And solving for d:

d = 365 * ($2,548.75 - $2,500) / $194.00

d = 365 * ($48.75) / $194.00

d = 365 * 0.25191780821917808

d = 91.37 days

So Ricardo would have to pay back the loan in 91.37 days.

Step-by-step explanation:

The number line of the inequality is (d)

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

3x+2≤4x+5≤9

When this is expanded, we have

3x + 2 ≤ 4x + 5 and 4x + 5 ≤ 9

Evaluate the like terms

So, we have the following representation

-x ≤ 3 and 4x ≤ 4

Divide by the coefficient of x

x ≥ -3 and x ≤ 1

When combined, we have

-3 ≤ x ≤ 1

So x is between -3 and 1, inclusive.

This is represented by the number line (d)

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=$50

Step-by-step explanation:

Total amount to be earn

if one women cut and add a colour

35$ + 15$

= $50

The salon earn if the women get a cut and a colour is $50.

There are many meanings of total, but they all have something to do with completeness. A total is a whole or complete amount, and "to total" is to add numbers or to destroy something.

In math, you total numbers by adding them: the result is the total. If you add 8 and 8, the total is 16. If a car is totalled in an accident, it has been completely destroyed. A total defeat is a complete and utter defeat with no chance of recovering. The total resources of a company are all its resources, everything it has.

Step-by-step explanation:

Total amount to be earn

if one women cut and add a colour

35$ + 15$

= $50

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The values of x for which z is greater than y are 7.

In mathematics, an equation is a statement that two mathematical expressions are equal. The expressions can contain variables, constants, mathematical operations, and functions. An equation can be used to represent a relationship between two or more variables, and it is often used to solve problems by finding the values of the variables that satisfy the equation.

Equations can be represented in different forms, such as algebraic equations, differential equations, integral equations, and partial differential equations. Algebraic equations are the most common type of equations, and they involve algebraic operations such as addition, subtraction, multiplication, and division.

Equations can be classified according to their degree, which is the highest power of the variable in the equation. Linear equations are those with a degree of one, and they can be represented by a straight line on a graph. Quadratic equations have a degree of two, and they can be represented by a parabolic curve. Higher degree equations are generally more complex, and they may not have a simple geometric representation.

For x = -4, y = 4(-4) - 3 = -19 and z = -18, so y is greater.

For x = 2, y = 4(2) - 3 = 5 and z = 6, so z is greater.

For values of x where z is greater than y, we need to compare the values of z and y for each x value in the table.

At x = 3, y = 4(3) - 3 = 9 and z = 9, so they are equal.

At x = 7, y = 4(7) - 3 = 25 and z = 27, so z is greater.

At x = 10, y = 4(10) - 3 = 37 and z = 35, so z is not greater than y.

Therefore, the values of x for which z is greater than y are 7.

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Since the samples of the study are independent, the condition for inference have been met

The body mass index for adults in the United States = 26.8

BMI stands for Body Mass Index

Body mass index of marathon runners = less than 26.8

The random samples = 35

The body mass index of the random samples = 22.7

Standard deviation = 3.1

Then the researchers will conduct a one sample t test for a population mean.

The one sample t-test is is defined as the hypothesis test that check whether the unknow population mean is different from the specific value

Here the samples are independent

Therefore, the condition for inference have been met

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Applying the triangle proportionality theorem, QR = 17½.

The triangle proportionality theorem states that when a line is constructed parallel to one side of a triangle and intersects the remaining two sides at two different points, the two sides of the triangle will be divided in equivalent proportions.

Therefore:

SQ/PS = TQ/TR

SQ = 5

PS = 2

TQ = ?

TR = 5

Plug in the values:

5/2 = TQ/5

Cross multiply:

2TQ = 25

TQ = 25/2

TQ = 12½.

QR = TQ + TR

QR = 12½ + 5

QR = 17½

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Answer:

5/2 hours      or      2 hours and 30 minutes

Step-by-step explanation:

The x represents the time it took Mrs. Ritts to mow the front yard. We don't know this time so put it as a variable. We also know that the time to mow her backyard is equal to 2 times the variable and then minus 2.

Equation:   3 = (2x) - 2  

Now we just isolate the x. First, start by adding 2 to both sides.

5 = 2x

Now just divide both sides by 2.

5/2 = x

5/2 as a mixed number would be 2 and 1/2 so that means the time would be 2 and a half hours.