Jeremy borrowed money from his dad for a car repair. The graph represents the amount
remaining that Jeremy owes his dad.
a. Write an equation to represent the situation.
b. What does the slope mean in the context of
the situation?
c. What does the y-intercept mean in the context
of the situation?

The inverse of a point (1, 2) on a graph would be the point (2, 1) because it's the reflection of the point (1, 2) over the line y = x.

In general, the inverse of a point (x, y) on a graph is the point (y, x). This is because when we switch the x and y coordinates of a point, we are reflecting it over the line y = x, which is the line of symmetry of the inverse function.

Inverse functions are mathematical operations that "reverse" each other. For example, if f(x) = 2x, then the inverse function f^-1(x) = x/2, when you apply f(x) and then f^-1(x) to a number you'll get the same number, so f^-1(f(x))=x, that's why they are called inverse. Inverse functions are only defined for bijective functions.

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According to the given information the standard error for the sample proportion is 0.024.

When determining if two ratios as well as fractions are equivalent, using proportion formula is utilized. By dividing the supplied numbers, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are indeed the extremes values and b and c are indeed the mean terms, a: b::c : d = a/b = c/d 

Sample size (n) = 146 participants

The percentage (p) of respondents who said they would be interested in attending the program again is as follows:

[tex]\begin{aligned}& p=\frac{132}{146} \\& p=0.9041\end{aligned}[/tex]

For a sample of size "n" and percentage "p," the standard error is as follows:

[tex]\begin{aligned}& S E=\sqrt{\frac{p *(1-p)}{n}} \\& S E=\sqrt{\frac{0.9041 *(1-0.9041)}{146}} \\& S E=0.024\end{aligned}[/tex]

The sample percentage of viewers who wish to see the show again has a standard error of 0.024.

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The diameter of a circle with a circumference of 69.1 yds is 22.

What is circumference of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference . The radius of the circle is considered when applying the formula to determine the circumference of the circle.

Circumference of circle(C) = 2πR

where,

R represents the radius of the circle

We know that diameter of circle is twice of its radius i.e

Diameter(D) = 2R

Thus, C = πD

We are given Circumference(C) = 69.1yd and π= 3.14

So, using C = πD, we get

⇒69.1 = 3.14*D

⇒D = 69.1/3.14

⇒D = 22

Hence, the diameter of a circle with a circumference of 69.1 yds is 22.

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Answer:

d,e,f,g,h

Step-by-step explanation:

all those are function  bc the x value doesn't repeat meaning  the x value has only one y-value

Solving for UY. in the figure provided where VX is a midsegment of UWY,  UY is 90

When the comparable triangles' angles are congruent and their respective sides are proportionate, this is referred to as similar triangles in geometry.

In light of this, if the triangle's corresponding angles are congruent, then the side should be proportionate.

For the given figure, the proportionate sides are

WV and VX, WU and UY

Solving for P

WV / VX = WU / UY

1 / (20p - 95) = 2 / (13p - 1)

cross multiplying

13p - 1 = 2(20p - 95)

13p - 1 = 40p - 190

collecting like terms

190 - 1 = 40p - 13p

189 = 27p

p = 7

solving for UY

= 13p - 1

= 13 * 7 - 1

= 90

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The values of a, b, c, and d are 1, 2, 3 and 4, though not necessarily in that order. The greatest possible value of ab + bc + cd + da is 25.

Greatest Possible Value:

For any number, whether decimal or integer, the leftmost non-zero digit is most significant. For decimals, this digit is the first non-zero digit to the right of the decimal point, and for integers it is the first digit in a series of numbers. For example, in the fraction 0.00163925, the most significant digit is 1. In the integer 2,473,981, the most significant digit is 2. Rounding off the most significant digit in these two examples gives a fraction of 0.002 and an integer of 2,000,000.

Given That:

The Values of a, b, c and d is 1 ,2 ,3 and 4

Therefore,

4× 2 + 2 × 1 + 1 × 3 +3 × 4

= 25

Therefore, the greatest possible value of ab + bc + cd + da is 25.

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Answer:no

Step-by-step explanation:

Answer: B square root of 40

Step-by-step explanation:

You're trying to find the length of the hypotenuse so you need to use the formula a^2 + b^2 = c^2

c = x

a = 2

b = 6

So 2^2 + 6^2 = x^2

Which equals: 4 + 36 = x^2

This can be simplified into 40 = x^2

And to get x by itself, just take the square root of each side: Square root of 40 = x

As per row echelon form of the matrix, the column space for the given matrix A is { [1 0], [3 1] }

The term row  echelon form of the matrix is defined as a matrix is in echelon form if it has the shape resulting from a Gaussian elimination.

Here we have given the following matrix

[tex]\begin{bmatrix}1 &3 &5 &0 \\0 & 1 & 2 & -3\end{bmatrix}[/tex]

As  we all know that the column space is a space spanned by the columns of the initial matrix that correspond to the pivot columns of the reduced matrix.

As per the definition of row echelon the given matrix is already in the row echelon form.

So, the column space is written as, first two columns

=> [tex]\begin{bmatrix}1 \\0\end{bmatrix}\begin{bmatrix}3 \\1\end{bmatrix}\\[/tex]

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Answer:13/9

Step-by-step explanation:11x/5 -2/3 = 113/45  after adding 2/3 to both sides we have 11x/5 = 143/45. Now we multiply 11x/5 by 9/9 which equals 99x/45 = 143/45. This means 99x = 143 and x =143/99 = 13/9

The required dimensions of the given rectangle are a breadth of 21 meters and a length of 63 meters.

The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and width.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics.

So, the dimensions of the rectangle are:

Let the dimensions of this rectangle be x for the width and 3x for the length.

2(Length + Breadth) =perimeter of rectangular park.

2( 3x + x ) = 168 metres.

6x + 2x = 168 metres.

8x = 168 metres.

x = (168/8) metres.

x = 21 metres.

Now,

Breadth: x = 21 metres

Length: 3x = 3× 21 = 63 metres

Therefore, the required dimensions of the given rectangle are a breadth: of 21 meters and a length of 63 meters.

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Correct question:

The length of a rectangular park is thrice its breadth and if the perimeter of the park is 168 meters, find its dimensions.

A translation is a mapping of a figure in a direction and distance without changing its orientation. The rule for a translation is of the form (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical distances of the translation, respectively.

A reflection is a mapping of a figure across a line, called the line of reflection, without changing its size or orientation. The rule for a reflection is of the form (x, y) -> (x, -y) or (x, y) -> (-x, y), depending on whether the line of reflection is horizontal or vertical, respectively.

A rotation is a mapping of a figure around a point, called the center of rotation, by a certain angle. The rule for a rotation is of the form (x, y) -> (x', y'), where x' and y' are the coordinates of the rotated point, and are given by x' = xcos (theta) - ysin(theta) and y' = xsin(theta) + ycos(theta), where theta is the angle of rotation.

A glide reflection is a composition of a translation and a reflection. The rule for a glide reflection is of the form (x, y) -> (x + h, -y) or (x, y) -> (x, -y + k), depending on whether the line of reflection is horizontal or vertical, respectively, and h or k is the distance of translation.

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Answer: 21:6

Step-by-step explanation: Use the ADAM method to help you with ratio problems like these (Add Divide And Multiply)

Add the numbers in the given ratio: 7+2=9

Divide the amount given by this number: 27/9=3

And (just there for the acronym)

Multiply this number by the numbers in the ratio: 7 x 3 = 21        2 x 3 = 6

final answer= 21:6

probability will be 1/2 for obtaining correct number that is ng clues to try to guess a secret number: it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

How do you calculate probability

Probability is the likelihood that something will happen. Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes

it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

the numbers are 67,69,83,.....etc

In order to simplify these types of expressions, first of all the external element is distributed into the bracket.

This property is called distributive property where the outer number is distributed into the bracket.

The distributive property is generally stated as:

So applying the property on given expression

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The 98% confidence interval for the difference in proportions of tails side up for a penny and a dime would lie between -0.2 and 0.6.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data. It is used to summarize, analyze, and compare data in order to draw conclusions and make decisions. Statistical methods are used in a wide variety of fields, including economics, finance, business, engineering, medicine, psychology, social sciences, and many others.

Statistics helps us to understand the behavior of a large number of variables by studying their distributions, relationships, and other patterns. Statistical methods are used to describe and summarize the data, estimate parameters of the population, test hypotheses, and make predictions. Statistical analysis can be used to draw conclusions about the population based on sample data and to determine the probability of certain events occurring. Statistical techniques are used to identify trends and patterns in data, as well as to assess relationships between variables.


This confidence interval can be calculated using the formula for a confidence interval for two proportions, which is: CI = p1 - p2 ± (1.96 x √[(p1(1-p1)/n1) + (p2(1-p2)/n2)]).

In this case, p1 is the proportion of times a spinning penny lands with tails up (18/30 = 0.6), p2 is the proportion of times a spinning dime lands with tails up (20/30 = 0.67), n1 is the number of times the penny was spun (30) and n2 is the number of times the dime was spun (30). Plugging these values into the formula yields a confidence interval of -0.2 and 0.6.

This means that we can be 98% confident that the difference in proportions of tails side up for a penny and a dime lies between -0.2 and 0.6.

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To find the maximum height the ball achieves before landing, we need to find the vertex of the parabola represented by the equation h(t) = -16t^2 + 59.2t + 114.24. The vertex form of a parabola's equation is y = a(x-h)² + k where (h, k) is the coordinates of the vertex.

We can get the vertex form by completing the square of x term.

h(t) = -16t² + 59.2t + 114.24

h(t) = -16(t² - 3.68t) + 114.24 + 3.68t

h(t) = -16(t-0.92)² + 118.92

The maximum height is 118.92 ft which is k.

Uday Tahlan

Answer:

31.25%

Step-by-step explanation:

55- 30 = 25

25/80 x 100 = 125 /4 or 31.25%

I am assuming that the sample size is between 10 and 80.

Cheers

Answer:

31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

$50 initial fee + $.25 per minute = $225

$225 - $50 = $175

$175 / $.25 = 650 minutes

The initial fee for the phone plan was $50, and for every minute used, an additional $.25 was charged. Last month's bill was $225, so subtracting the $50 initial fee from the total cost of the bill leaves $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes.

The phone plan charges an initial fee of $50 for the month, as well as an additional $.25 for every minute used. Last month's bill was $225, so to find the total number of minutes used, subtract the $50 initial fee from the total cost of the bill. This results in $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

A user's phone plan last month costed $225, which included an initial fee of $50 plus $.25 for every minute used. After subtracting the initial fee from the total bill cost, $175 was left which was the cost of the minutes used. Dividing this number by the $.25 per minute charge reveals that the user had used 650 minutes.

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The respective probabilities are -

(a).P(vet concludes-no virus ,if no chicken is infected)=0.988,

(b).P(vet cincludes virus,if no chicken is infected)= 0.012,

(c).P(vet cincludes virus, if every chicken is infected)=0.99 ,

(d).P(vet cincludes virus, if 20% chickens are infected)= 0.383.

This problem involves the probability of binomial distribution as there are only two outcomes of the event, either the bird is infected or its not infected.

Now, let us suppose in this problem, that x is a random variable indicating the no. of chickens infected.

According to question , P(false positive test)=0.05,

P(false negative test)=0.10 where false positive test means that the bird is not infected and still the vet says that its infected.

false negative test means that the bird is not infected and the vet declares it to be infected.

Now, P(bird is not infected) = 1- P(bird tested false positive) = 1-0.05=0.95

Similarly, P(bird is infected) = 1 - P(bird tested false negative) 1- 0.10=0.90

Now, in the question , the vet declares the flock as infected if at least 3 out of 10 chickens are infected.

So, in (a) , t]if the vet does not declare the birds as infected means less than 3 birds would only be infected.

so, P(vet declares as uninfected) = P(x=0) + P(x=1) + P(x=2)=

10C0 (0.05)^0 (0.95^10) + 10C1 (0.05)^1 (0.95)^9 + 10C2(0.05)^2 (0.95)^8

Upon calculating this , we get 0.988.

Now, for (b) , P(no virus and vet declares it to be present)= 1- P(no virus and vet does not declare it to be infected)= 1-0.988 = 0.012.

(c) - the probability that every chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is present in the flock = 1- P(every chicken is infected and the vet declares as not infected) = 1- bin (10,0.9,2)

=1- 10C0(0.9)^0(0.1)^10 + 10C1(0.9)^1(0.1)^9 + 10C2(0.9)^8(0.1)^2 = 1- 0.001 = 0.99.

(d) . Now here, we need to calculate P(x>=3) =

1- [10C0(0.22)^0(0.78)^10 + 10C1(0.22)^1(0.78)^9 + 10C2(0.22)^8(0.78)^2]

=0.383.

So, in this way we get answers as (a)-0.988 , (b)- 0.012, (c)-0.99 , (d) - 0.383.

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Answer: To determine if there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were, we can conduct a two-sample proportion test.

The null hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is the same as the proportion of individuals who caught pertussis and were up to date on their booster shot.

H0: p1 = p2

The alternative hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than the proportion of individuals who caught pertussis and were up to date on their booster shot.

Ha: p1 > p2

Using a two-sample proportion test with a significance level of 0.05, we can calculate the test statistic and p-value.

p1 = 15/132 = 0.1136

p2 = 11/368 = 0.0301

p = (15 + 11)/(132 + 368) = 0.0564

SE = sqrt{p(1-p)((1/132)+(1/368))} = 0.0165

z = (p1 - p2) / SE = 4.0491

p-value = P(z > 4.0491) = 0.0000

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Step-by-step explanation:

Answer:

[tex]-8 \leq x \leq -3[/tex]

Step-by-step explanation:

[tex]-8 \leq x \leq -3[/tex] this is the expression you are looking for.

Answer:

Step-by-step explanation:  

              12 < x ≤-8

Answer:

4g=s

Step-by-step explanation:

4g=s

there are 4 g's for every s as he work for 4 times as many hours at the grocery store.

The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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Answer:

10 cm

Step-by-step explanation:

Data :

Volume = V = 90π cm³

Radius = r = 3cm

Area = A = π(3)²

Formula for volume is

V = πr² h

Solve for height h

h = V/(πr²)

h = 90π / π3² = 90π /9π

h = 10 cmData :

Volume = V = 90π cm³

Radius = r = 3cm

Area = A = π(3)²

Formula for volume is

V = πr² h

Solve for height h

h = V/(πr²)

h = 90π / π3² = 90π /9π

h = 10 cmData :

Volume = V = 90π cm³

Radius = r = 3cm

Area = A = π(3)²

Formula for volume is

V = πr² h

Solve for height h

h = V/(πr²)

h = 90π / π3² = 90π /9π

h = 10 cmv

The central limit theorem states that if a large enough sample is taken from a population with a strongly skewed distribution, the distribution of the sample means will be approximately normal, regardless of the shape of the population distribution.

This means that even if the population distribution of burnout times for lightbulbs is strongly skewed to the right, if a large enough sample of burnout times is taken, the distribution of sample means will be approximately normal. This allows for the use of standard statistical techniques, such as calculating a mean and standard deviation, for making inferences about the population.

It is important to note that for the central limit theorem to hold, the sample size should be large enough, usually n>30.

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So on solving provided question we can say that given angle is m/ABD (7q-46) (3q+6)°​ = m/ABD = 98

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

here,

the given angle is m/ABD (7q-46) (3q+6)°​

m/ABD = 98

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Length of KL is 31.5 unit.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

Given in the figure

GJ = 15

GH = 8

KN = 59

KL = x

GHIJ and KLMN are similar

therefore, ratio of the sides will be equal

GJ/GH = KN/KL

15/8 = 59/x

x = 59 × 8/15

x = 472/15

x = 31.4667

Hence,31.5 is length of KL.

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