The graph below does not represent a function because it fails the vertical-line test. Which is the best explanation of why a graph that fails the vertical line test does not represent a function? A. If a vertical line intersects a graph more than once, this indicates that there are multiple points with the same y-value. A function cannot have repeated y-values. B. On a vertical line, one x-value is paired with many y-values. A function cannot have one x-value paired with different y-values, so a vertical line is not a function. C. The points where a vertical line intersects a graph have the same x-value but different y-values. The graph of a function cannot have points with the same x-value but different y-values. D. The relation represented by a vertical line maps many x-values to the same y-value. This kind of mapping is not a function. So if a graph intersects a vertical line more than once, that graph is not a function either.

Answer:

73.52 OR 74.00

Step-by-step explanation:

1.) 8 x 1/5 (I prefer converting to decimals first)

2.) 8.00 x 9.19 = 73.52 ----> (Rounding the ones place up) 74.00

The amount of money with Rocio has 645 euros more than Estefania.

Total amount of money with Estefania has = 2,593 euros

Total amount of money with Rocio has = 3,238 euros

When we compare the amount of money of both Estefania and Rocio

Rocio has more amount of money than Estefania .

3,238 Euros is greater than 2,593 Euros

To find out how much money Rocio has more than Estefania,

= Subtract Estefania's amount of money from Rocio's amount of money.

= 3,238 euros (Rocio's money) - 2,593 euros (Estefania's money)

= 645 euros

Therefore, Rocio has 645 euros more amount of money than Estefania.

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If Corey buys 27 inches of trim for a craft project, Corey bought 3/4 of a yard of trim for the craft project.

To determine what fraction of a yard Regina buys, we need to know how many inches are in a yard. There are 36 inches in a yard.

To convert 27 inches to yards, we need to divide by 36:

27 ÷ 36 = 0.75 yards

So Corey bought 0.75 yards of trim for the craft project.

To find the fraction of a yard, we need to express 0.75 as a fraction with a denominator of 1:

0.75 = 75/100 = 3/4

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Complete question is:

Corey buys 27 inches of trim for a craft project. What fraction of a yard does Regina buy?

The surface area of solid B is 9000 cm².

What is ratio?

A ratio is a comparison of two quantities or values, often expressed as a fraction. Ratios can be used to express the relationship between two or more quantities.

Since solids A and B are similar, their corresponding linear dimensions are proportional. Let the scale factor be k, such that the dimensions of solid A are k times larger than the corresponding dimensions of solid B.

The ratio of their volumes is given as 27:1000. Therefore:

(volume of A) / (volume of B) = 27/1000

Let the volume of solid B be V. Then the volume of solid A is (27/1000)V.

Since the surface area of a solid is proportional to the square of its linear dimensions, we have:

[tex]$\frac{surface\ area\ of\ A}{surface\ area\ of\ B} = \frac{k_{A}^{2}}{k_{B}^{2}}$[/tex]

where kA and kB are the linear dimensions of solids A and B respectively.

Since the solids are similar, we can write:

[tex]$k_{A} / k_{B} = \frac{(volume\ of\ A)^{\frac{1}{3}}}{(volume\ of\ B)^{\frac{1}{3}}}$[/tex]

kA / kB = (volume of A)^(1/3) / (volume of B)^(1/3)

Substituting the given volume ratio and solving for kA / kB, we get:

[tex]$k_A/k_B = \left(\frac{27}{1000}\right)^{1/3} = 0.3$[/tex][tex]$k_A/k_B = \left(\frac{27}{1000}\right)^{1/3} = 0.3$[/tex]

Therefore, kA = 0.3 kB.

Now we can substitute the given surface area of solid A and solve for the surface area of solid B:

(surface area of A) / (surface area of B) = (kA)² / (kB)²

810 / (surface area of B) = 0.3²

(surface area of B) = 810 / 0.09

(surface area of B) = 9000 cm²

Therefore, the surface area of solid B is 9000 cm².

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The value of x and y is 2 , -2

The equation are as follows:

x+2y=-2....(i)

-3x+2y=-10.....(ii)

Now, Solving each system of equations by adding and subtracting:

And, find the value of x and y

Multiply by 3 in equation (i) we get:

3x + 6y = - 6 ---(iii)

And add the equations (ii) and (iii)

3x + 6y + (-3x) + 2y = -6 - 10

6y + 2y = -16

8y = -16

y = -2

Now, For solving the value of x :

Subtract the equation (i) and (ii), we get:

x + 2y - (-3x) - 2y = -2 + 10

x + 3x =  8

4x = 8

x = 2

Now, The value of x and y is 2 , -2

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Answer:

Step-by-step explanation:

distance traveled by one revolution = circumference of the wheel

= 2πr = 2π(13 inches) = 26π inches

number of revolutions = distance traveled / distance traveled by one revolution

100 feet = 1200 inches

= 1200 inches / 26π inches

≈ 45.91 full revolutions

The length of the diagonal from L to N is approximately 60.8, and the length of the diagonal from M to O is approximately 47.0.

To find the lengths of the diagonals of rectangle LMNO, we first need to find the length of MN and LO.

Since LMNO is a rectangle, we know that opposite sides are congruent, so LN = MO and LO = MN.

Given that LN = 4x - 17 and MO = 2x + 13, we can set them equal to each other and solve for x:

4x - 17 = 2x + 13

2x = 30

x = 15

Now that we know x, we can find LN and MO:

LN = 4x - 17 = 4(15) - 17 = 43

MO = 2x + 13 = 2(15) + 13 = 43

Therefore, MN = LO = 43.

To find the length of the diagonals, we can use the Pythagorean theorem. Let's call the diagonal from L to N d1, and the diagonal from M to O d2:

d1^2 = LM^2 + LN^2

d1^2 = MN^2 + LN^2

d1^2 = 43^2 + 43^2

d1^2 = 3698

d1 ≈ 60.8

d2^2 = MO^2 + LM^2

d2^2 = MN^2 + LM^2

d2^2 = 43^2 + 18^2

d2^2 = 2209

d2 ≈ 47.0

Therefore, the length of the diagonal from L to N is approximately 60.8, and the length of the diagonal from M to O is approximately 47.0.

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The train travels a distance of 120 kilometers.

To calculate the distance traveled by the train, we can use the formula:

Distance = Speed × Time

Given that the train travels at a consistent speed of 480 km/h and the time is one-fourth of an hour, we can substitute these values into the formula:

Distance = 480 km/h × (1/4) hour

To simplify the calculation, we can convert one-fourth of an hour to minutes. Since there are 60 minutes in an hour, one-fourth of an hour is equal to (1/4) × 60 minutes = 15 minutes.

Now, we can calculate the distance:

Distance = 480 km/h × (1/4) hour

= 480 km/h × (1/4) × 60 minutes / 60 (converting hours to minutes)

= 480 km/h × 15 minutes / 60

= 480 km/h × 0.25

= 120 km

Therefore, distance travelled by train is 120 kilometers.

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Non-parametric tests are statistical tests that do not require specific assumptions about the population distribution, such as normality or equal variances. They are useful in situations where the data does not meet the assumptions of parametric tests, or when the variables are ordinal or categorical.

There are some additional examples of non-parametric tests.

Hence, non-parametric tests offer a flexible alternative to traditional parametric tests and can be useful in a variety of situations.

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Ryan's gross pay for the last week of April was $864, assuming that 96% of the dolls produced were non-defective.

If Ryan produced 900 dolls during the last week of April and receives $.96 per doll, his gross pay before any defective units are taken into account is:

900 dolls x $0.96/doll = $864

If we need to check if a certain percentage of the dolls produced were defective, we can multiply the gross pay by the percentage of non-defective units to find Ryan's actual gross pay.

For example, if 95% of the dolls produced were non-defective, Ryan's gross pay would be:

$864 x 0.95 = $820.80

Therefore, Ryan's gross pay for the last week of April was $820.80, assuming that 95% of the dolls produced were non-defective.

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Answer:

(9,8)

Step-by-step explanation:

Solve the first equation

then solve the second equation with the substitute number from the first equation.  

Sue statement that each piece of pizza has an angle measure of 30º is  incorrect

Assuming the pizza is circular, we know that the total angle measure of a circle is 360 degrees.

If we cut the pizza into halves, we have two equal pieces, each with an angle measure of 180 degrees.

If Sue and her 4 friends share half a pizza, they are sharing one of these equal pieces.

If we divide the 180 degree angle of the piece of pizza by 5 (Sue and her 4 friends plus Sue herself), we get an angle measure of 36 degrees, which is what Sue believes.

Therefore, Sue is incorrect.

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Answer:

Median = 11

Mean = 19.8

Step-by-step explanation:

Arrange data points from small to large - Median will be the number in the middle

4 7 11 36 41

To get the mean add the numbers together and divide by the number of numbers there are.

The total is 99

5 numbers

99/5

= 19.8

Hope this helps

A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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In reference to the given histogram, an absence of bars signifying either 4 or 5 traffic tickets implies that no one from the selection had accumulated this amount.

It should be noted that to make sure our point is accurate, we can sum the heights of the separate bars for 3, 6 and 8 tickets which demonstrate the total people included within the survey who have acquired the relevant number of traffic citations.

The height of the bar for three violations measures out at 1.

Conversely, a measurement of 2 denotes the bar for six infringements.

An assessment of 1 has been given to the bar with regards to eight offences.

Due to the lack of representation mentioned in the histogram concerning both 4 and 5 transgressions, it confirms our inference: nobody from the selection received four or five traffic tickets.

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Answer:

Step-by-step explanation:

They sold 34 loafs of bread

The value of k is given as follows:

k = 2.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For this problem, we have that the parameters are given as follows:

Hence the equation to obtain k is given as follows:

[tex]\sin{45^\circ} = \frac{\sqrt{2}}{k}[/tex]

[tex]\frac{\sqrt{2}}{2} = \frac{\sqrt{2}}{k}[/tex]

k = 2.

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Answer:

4 -4

Step-by-step explanation:

The percentage price of the item has decreased by 45%.

What is the definition of percentage?

A percentage is a quantity or ratio that is stated as a fraction of 100.

"%" is the symbol for percentage.

For example, if 25 of 100 students in a class received a "A," we may represent this as a percentage by dividing the number of "A" students by the total number of students and multiplying by 100:

(25/100) x 100% = 25%

This signifies that 25% of the students in the class received a "A".

Now,

To obtain the % drop, subtract the difference between the original and new prices, divide by the original price, then multiply by 100 to get the percentage decrease.

The difference between the original and updated prices is equal to

140 - 77 = 63

So the percentage decrease is:

(63/140) x 100% = 45%

Therefore, the price of the item has decreased by 45%.

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The probability that Jevonte will hit his next free throw is "likely" or "high".

Since Jevonte has made 7 out of 8 of his free throws so far, he has a success rate of 87.5%, which is quite high. Therefore, it is reasonable to expect that he will continue to make his free throws at a similar rate, making it likely that he will hit his next free throw.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur. Probability is used extensively in fields such as mathematics, statistics, physics, engineering, economics, and many other areas to model and analyze uncertain events or situations.

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The survey found that 86% of 2006 US students in grades 10-12 agreed with the statement "if I make a mistake, I try to figure out where I went wrong." The survey's margin of error is +/- 3.7%, so we can be 95% confident the true proportion falls between 82.3% and 89.7%.

This means that we can be 95% confident that the true proportion of students who agree with the statement lies between 82.3% and 89.7%. This interval is calculated as follows

Subtract the margin of error from the sample proportion to get the lower bound: 86% - 3.7% = 82.3%

Add the margin of error to the sample proportion to get the upper bound: 86% + 3.7% = 89.7%

So, we can say with 95% confidence that the true proportion of students who agree with the statement is somewhere between 82.3% and 89.7%.

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Buying bulk topsoil is less expensive than buying bags of topsoil in this case.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

To find the volume of a simple object such as a cube, rectangular prism, or cylinder, you can use a formula that involves multiplying the length, width, and height of the object. For example, the formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

For more complex objects, such as irregular shapes or those with curved surfaces, you can use techniques such as integration or approximation to find the volume.

First, we need to determine how many cubic feet of topsoil Austin needs to cover his backyard with a 4 inch layer. We can start by calculating the volume of his backyard in cubic feet:

Volume = length x width x depth

Volume = 70 ft x 60 ft x (4 in / 12) ft

Volume = 1400 ft³

So Austin needs 1400 cubic feet of topsoil to cover his backyard with a 4 inch layer.

Option 1: Bags of Topsoil

Each bag of topsoil covers 3 cubic feet, so Austin needs 1400 / 3 = 466.67 bags of topsoil. Since he can only buy whole bags, he will need to buy 467 bags. Each bag costs $2.50, so the total cost of the topsoil would be:

Total cost = number of bags x cost per bag

Total cost = 467 x $2.50

Total cost = $1167.50

Since delivery is free, the total cost of the topsoil is $1167.50.

Option 2: Bulk Topsoil

Bulk topsoil costs $22.00 per cubic yard, and Austin needs 1400 / 27 = 51.85 cubic yards. Since he can only buy whole yards, he will need to buy 52 yards. The cost of the topsoil itself would be:

Cost of topsoil = volume of topsoil x cost per cubic yard

Cost of topsoil = 52 yd³ x $22.00/yd³

Cost of topsoil = $1144.00

There is also a $20 delivery fee, so the total cost of the topsoil would be:

Total cost = cost of topsoil + delivery fee

Total cost = $1144.00 + $20.00

Total cost = $1164.00

Therefore, buying bulk topsoil is less expensive than buying bags of topsoil in this case.

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The given information pertains to a sample of einsteinium-253, which naturally loses its mass over time. The initial mass of the sample was 15 grams when it was first measured. The relationship between the elapsed time in weeks, denoted by 't', and the mass of the sample in that week, denoted by 'Mweek(t)', is given by the function.

Mweek(t) = 15 * (0.79)^t.

The daily rate of change in the mass of the sample can be found by taking the derivative of the function with respect to time

Mweek'(t) = 15(0.79)^t ln(0.79)

To find the factor by which the mass decays every day, we can divide the mass at time t by the mass at time t+1.

Mweek(t) / Mweek(t+1) = (15(0.79)^t) / (15(0.79)^(t+1)) = 1/0.79

Therefore, every day, the mass of the sample decays by a factor of approximately 1.26 (rounded to two decimal places).

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The center of mass of the thin plate  of density delta = 6 bounded by the lines y = x and x = 0 and the parabola  is located at (x, y) = (4/15, 1/15).

To find the center of mass of a thin plate,

Calculate the moments and products of inertia with respect to the x and y axes,

And then use them to find the coordinates of the center of mass.

First, determine the limits of integration.

Since the plate is bounded by the lines y=x and x=0 and the parabola y=20-x² in the first quadrant,

Integrate over the following limits.

0 ≤ x ≤ 4, and

x ≤ y ≤ 20 - x²

The mass of the plate can be found by integrating the density delta = 6 over the plate.

m = ∫∫over R δ dA

   = ∫∫over R 6 dA

where R is the region bounded by the given curves.

m =[tex]\int_{0}^{4}[/tex] ∫x²⁰⁻ˣ² 6 dy dx

Simplifying the limits, we get,

m = ∫0⁴ 6x(20-x²) dx

Evaluating this integral gives,

m = 960

Next, find the moments and products of inertia.

The moments of inertia are given by,

Ix = ∫∫over R y² δ dA, and

Iy = ∫∫over R x² δ dA

The product of inertia is given by,

Ixy = ∫∫ over R xy δ dA

Substituting the given density delta = 6 and integrating over the region R, we get,

Ix = [tex]\int_{0}^{4}[/tex] ∫x²⁰⁻ˣ² y² 6 dy dx

  = 64/3

Iy = [tex]\int_{0}^{4}[/tex] ∫x²⁰⁻ˣ² x² 6 dy dx

  = 512/15

Ixy = [tex]\int_{0}^{4}[/tex] ∫x²⁰⁻ˣ²  xy 6 dy dx

    = 64/3

Using these moments and products of inertia,

The coordinates of the center of mass (X, Y) can be found using the following formulas.

X = Iy / m, and

Y= Iy / m

Substituting the values we have calculated, we get,

X = (512/15) / 960

  = 4/15

Y = (64/3) / 960

   = 1/15

Therefore, the center of mass of the thin plate is located at (x, y) = (4/15, 1/15).

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The sum of the roots of x² - 9x + 8 is 9. The product of the roots of x² - 9x + 8 is 8.

A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form ax² + bx + c = 0, where x is the variable and a, b, and c are constants.

The expression x² - 9x + 8 can be factored as follows:

x² - 9x + 8 = (x - 1)(x - 8)

To check that this factorization is correct, you can expand the expression using the distributive property:

(x - 1)(x - 8) = x² - 8x - x + 8 = x² - 9x + 8

So the factorization is indeed correct.

The sum of the roots of the quadratic equation ax² + bx + c = 0 is given by -b/a, where a, b, and c are the coefficients of the equation. In this case, a = 1, b = -9, and c = 8, so the sum of the roots is:

-sum of roots = -b/a = -(-9)/1 = 9

Therefore, the sum of the roots of x² - 9x + 8 is 9.

The product of the roots of the quadratic equation ax² + bx + c = 0 is given by c/a. In this case, c = 8 and a = 1, so the product of the roots is:

product of roots = c/a = 8/1 = 8

Therefore, the product of the roots of x² - 9x + 8 is 8.

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Answer:  Construct the perpendicular bisector of segment XY

Step-by-step explanation:

Construct the perpendicular bisector of segment XYI am pretty sure this is the answer. I assume you r taking flvs just like me. this is the answer because to construct a circumscribed circle u will need to draw a perpendicular bisector to the sides of the polygon. Which o think is the first step.

Compass and straightedge are the two tools you'll need to create geometric constructions.

Without using numbers, geometric building enables the creation of precise drawings and models. The term "geometric building" refers to the act of precisely drawing something without the aid of numbers.

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