The manager of a local nursery wants to know which types of plants his customers buy most often. What is the population from which the manager should choose a sample to answer her question?

A. The first 25 adults who come into the nursery during one business day.
B. The list of customers who purchased plants from the nursery.
C. Every adult who enters the nursery during one business day.
D. Subscribers to a gardening magazine.

The correct options are:

C. It is a hyperbola.

D. It is in quadrants I and II.

The reciprocal parent function is given by:

f(x) = 1/x

The graph of this function is a hyperbola, which opens up and down, and has vertical asymptotes at x = 0 (the y-axis).

The graph is in quadrants I and II, since x > 0 for positive values of y, and x < 0 for negative values of y.

The graph does not go through the origin (0,0), since f(0) is undefined. It is not a parabola, since a parabola is a U-shaped curve, which is not the shape of the reciprocal parent function.

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Person C would rate the highest on their eligibility for a home loan.

A down payment is a payment made upfront by a buyer when purchasing a big-ticket item, such as a house or a car.

It is typically a percentage of the total purchase price, and the remaining balance is financed through a loan.

We have,

Debt-to-income ratio for each person:

Person A:

Down payment = $14,250, Debt-to-income ratio = ($310 / $3,833) x 100% = 8.08%

Person B:

Down payment = $16,050. Debt-to-income ratio = ($198 / $4,416) x 100% = 4.49%

Person C:

Down payment = $18,000. Debt-to-income ratio = ($265 / $4,833) x 100% = 5.49%

Person D:

Down payment = $19,200. Debt-to-income ratio = ($400 / $5,000) x 100% = 8.00%

Now,

Based on these calculations, Person C has the highest down payment and the lowest debt-to-income ratio, making them the most eligible for a home loan.

Therefore,

Person C would rate the highest on their eligibility for a home loan.

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Answer:

12

Step-by-step explanation:

4 x 4= 16 so 4 x 3=12 and 3/4 = 4 x 3

To find the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67, we need to find the area under the curve between these two values.

Using the Standard Normal Table, we can find the area to the left of z = -1.8 and z = 0.67, and then subtract the former from the latter to get the area between them.

The area to the left of z = -1.8 is 0.0359, and the area to the left of z = 0.67 is 0.7486.

Therefore, the area between z = -1.8 and z = 0.67 is:

0.7486 - 0.0359 = 0.7127

So the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67 is approximately 0.7127, or 71.27%.

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The statement " Each neighborhood in DMR encompasses just the vertices and edges of a bad triangle" is false because a neighborhood in a Delaunay triangulation typically encompasses more than just the vertices and edges of a single bad triangle.

The statement is incorrect. A "bad triangle" refers to a specific type of triangle that can occur in a Delaunay triangulation, which is a type of triangulation used in computational geometry. A bad triangle is a triangle that violates the Delaunay condition, which requires that the circumcircle of the triangle contains no other vertices of the triangulation.

While a Delaunay triangulation can be used to partition a set of points into a set of triangles, each neighborhood in the triangulation typically encompasses more than just the vertices and edges of a single bad triangle. Instead, a neighborhood typically encompasses all of the triangles in the triangulation that share a common vertex or edge with a given triangle.

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False. Each neighborhood in DMR encompasses the vertices and edges of a Delaunay triangle, which is a good triangle.

, each neighborhood in DMR (Delaunay Mesh Refinement) does not necessarily encompass just the vertices and edges of a bad triangle. DMR is an algorithm used to refine meshes, and it can involve both bad and good triangles to ensure a high-quality mesh output. The neighborhoods can contain multiple triangles and their respective vertices and edges, depending on the refinement criteria.

False. Each neighborhood in DMR encompasses the vertices and edges of a Delaunay triangle, which is a good triangle.

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The area of the rectangle is 231 square meters.

To find the area of a rectangle, we need to multiply its length by its width.

Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:

Area = Length x Width

Area = 21 meters x 11 meters

Area = 231 square meters

Therefore, the area of the rectangle is 231 square meters.

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a).The bearing of point A from B is 234°.

b). The bearing of point B from point A is 054°.

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

The bearing of point A from B is the angle measured from the north of B to the straight line distance between A and B which is 234°. While the bearing of point B from point A is the angle measure starting from the north of A to the straight line distance between A and B which is 054°.

Therefore, the bearing of point A from B is 234° while the bearing of point B from point A is 054°.

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Answer:

Step-by-step explanation: There are 2.54 centimeters in a inch, for every inch you need to multiply it by 2.54.  

2.54 x 12 = 30.48

Answer = 30.48

A 12inch ruler is 30cm.

If you look at a ordinary see through plastic ruler one side says 12 inches and the other, 30 centimetres by one millimeter.

In linear equation., 33 far will the ball have traveled when it hits the ground for the fourth time.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

in order to calculate the distance of the ball taht would have traveled when it hits the ground for the fourth time is to list the height everytime it bounces. We calculate as follows:

12+6+6+3+3+1.5+1.5 = 33 feet

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The simplified expression using rational numbers is 82.25.

First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.

Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².

(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.

9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.

Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.

To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.

So, 5.75√ can be simplified as follows:

5.75√ = 5.75√5.75/√5.75

= 5.75√5.75/5.75

= √5.75

Now, we can rewrite the expression as:

(121/4) + √5.75 + (109/4) + 5.75 + 9

Combining like terms, we get:

(121/4) + (109/4) + 15.75 + 9

Simplifying further, we get:

(230/4) + 15.75 + 9

= 57.5 + 15.75 + 9

= 82.25

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Answer:

Set your calculator to degree mode.

x = tan^-1 (6/8) = 36.87°

Therefore , the solution of the given problem of unitary method comes out to be option C The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

Use the tried-and-true fundamental method, the real variables, and any useful information you learn from the broad and specific questions to complete the assignment. Customers may be given another chance to taste expression the products in response. If these improvements don't happen, we'll lose out on significant expression advances in programming understanding.

Here,

We may calculate the side lengths of the physical object using the following formulae given the scale factor of 2:1:

Drawing to scale: Side a: 11 inches

8 inches on side B.

3 inches on side C.

real thing

11 inches by two equals 22 inches on side a.

Side B: 8 inches times two equals 16 inches

3 inches by 2 equals 6 inches on side C.

B. Side a: 26 inches in the scale drawing.

20 inches on side B.

10 inches on side C.

real thing

Side a: 2 times 26 inches equals 52 inches.

Side B: 20 inches times two equals 40 inches

20 inches are equal to 10 inches on side C.

C. Side a: 2.5 inches in the scale drawing.

5 inches on side B.

6.5 inches on side C.

real thing

2.5 x 2 = 5 inches on side a.

Side B: 5 inches times two equals 10 inches

6.5 inches by two equals 13 inches on side C.

So, the appropriate response is:

C. The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

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Answer:  $1.80

Step-by-step explanation: 15% of 12 is 1.8

Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.

Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:

sin(30) = w/60 and cos(30) = l/60

sin(60) = l/60 and cos(60) = w/60

Simplifying each equation, we get:

w = 30√3 and l = 30

Therefore, the area of the rectangle is:

Area = l x w = (30)(30√3) = 900√3 square inches.

Hence, the area of the rectangle in simplified radical form is 900√3 square inches.

Answer:

highest: $1,438

lowest: $1,062

Step-by-step explanation:

The highest and lowest points are adding $188 and subtracting $188 from her brother's amount.

So, to find the highest point, add $188 to $1,250, which is $1,438.

To find the lowest point, subtract $188 from $1,250, which is $1,062.

Hope this helps ;)

The image of point C(-3,0) after a 180° counterclockwise rotation around the origin is the point (3,0).

To graph the image of point C(-3,0) after a 180° counterclockwise rotation around the origin, we can use the following formula:

(x', y') = (-x, -y)

where (x, y) are the coordinates of the original point, and (x', y') are the coordinates of its image after rotation.

Using this formula, we get:

(x', y') = (-(-3), -(0)) = (3, 0)

So, the image of point C(-3,0) after a 180° counterclockwise rotation around the origin is the point (3,0).

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The new volume of the gas is 2.35 liters.

To solve this problem, we can use the formula for Charles's Law:

V1/T1 = V2/T2

We are given that V1 = 2.2 liters, T1 = 18°C, and T2 = 38°C. We need to find V2.

First, we need to convert the temperatures to Kelvin. To convert Celsius to Kelvin, we add 273.15:

T1 = 18°C + 273.15 = 291.15 K

T2 = 38°C + 273.15 = 311.15 K

Now we can plug in the values and solve for V2:

V1/T1 = V2/T2

2.2/291.15 = V2/311.15

V2 = (2.2/291.15) * 311.15

V2 = 2.35 liters (rounded to two decimal places)

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Answer: 3/8 >2/6

Step-by-step explanation:

Answer:

i think D if not then B

Step-by-step explanation:

The equation that represent the number of pine cones Christian has is A)p=9 x 3 and D)p=3x9.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here Number of pine cone basket does Christian have = 3

Number of pine cone in One basket = 9.

Then the equation is,

Number of pine cones Christian has = 3 × 9

=> p = 3 × 9 or p = 9×3.

Hence the correct equation is A)p=9 x 3 and D)p=3x9.

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If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS

The reference angle of x can be found to be 13π/3.

The exact values of sin x, tan x, and sec x in simplest form:

Since our angle x = (10π) / -3 is in the third quadrant, we subtract π to get the reference angle:

reference angle = |x - π| = |(10π) / -3 - π| = |-13π/3|

The reference angle is 13π/3.

sin x = sin(reference angle) = sin(13π/3)

sin(π/3) = √3/2

So, sin x = √3/2

tan x = tan(reference angle) = tan(13π/3)

tan(π/3) = √3

So, tan x = √3

sec x = 1 / cos x = 1 / cos(reference angle) = 1 / cos(13π/3)

cos(π/3) = 1/2

So, sec x = 1 / (-1/2) = -2.

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The measure of a central angle of a regular polygon with 24 sides is 15 degrees.

A polygon is a two-dimensional geometric shape that is defined by a closed chain of line segments, also known as sides. These line segments must be joined end to end to form a closed shape, with no curves or self-intersections. The word "polygon" comes from the Greek words "poly" meaning "many" and "gon" meaning "angle".

To find the measure of a central angle of a regular polygon with 24 sides, we can use the formula:

central angle = 360 degrees / number of sides

Substituting the given value, we get:

central angle = 360 degrees / 24 = 15 degrees

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The volume of the cylinder is 3532.5 metres cube.

The figure above is a cylinder. The volume of the cylinder can be found as follows:

volume of a cylinder = πr²h

where

Therefore, let's find the height using Pythagoras's theorem.

25² - 15² = h²

h² = 625 - 225

h = √400

h = 20 metres

Hence,

volume of a cylinder = 3.14 × 7.5² × 20

volume of a cylinder = 3532.5 metres cube

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You would use a Chi-square test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

You would use a hypothesis test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population. This type of hypothesis test is commonly used in statistics to evaluate the significance of differences between observed and expected frequencies.

The test involves selecting a sample from the population of interest, calculating the sample proportions, and comparing them to the hypothesized proportions using statistical methods. If the observed proportions are significantly different from the hypothesized proportions, then there is evidence to suggest that the hypothesized values are not correct.

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You would use a one-sample proportion test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

In this test, we compare the observed proportion (based on the sample data) to a hypothesized proportion (based on the null hypothesis) using a test statistic and a p-value. If the p-value is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the observed proportion is significantly different from the hypothesized proportion.

This test is often used in quality control, market research, and public opinion polling to test whether a particular proportion (such as the proportion of defective products or the proportion of people who support a particular policy) is consistent with a hypothesized value.

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The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

Probability is a measure of the likelihood or chance of an event occurring, and it ranges from 0 (impossible) to 1 (certain).

In this case, a probability of 0.4 means that out of 10 similar days with similar weather conditions, we would expect it to rain on 4 of those days.

However, if the weather conditions change or new information becomes available, the probability of rain may increase or decrease.

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Answer:

"I think of a number, take away 1 and multiply the result by 3" can be written algebraically as:

3(x - 1)

where x is the unknown number that is being thought of.

We subtract 1 from x because the problem asks to "take away 1", and then we multiply the result by 3 because the problem asks to "multiply the result by 3".

So the expression 3(x - 1) represents the result of thinking of a number, taking away 1, and multiplying the result by 3.

Answer:

it's 17.04 as u showed in the answer

Step-by-step explanation:

1st u change the mixed no. to improper fraction

2nd u will multiply it by it's resprocal then u will get 17.04