use the same scales to construct boxplots for the pulse rates of males and females from the accompanying data sets. use the boxplots to compare the two data sets.

Answers

Answer 1

By visually analyzing the boxplots, we can gain insights into the similarities and differences in pulse rates between males and females. Remember to label the axes properly to ensure clarity.

To compare the pulse rates of males and females, we can construct boxplots using the same scales. A boxplot displays the distribution of data, providing insights into its central tendency, variability, and potential outliers.

For both males and females, we need to organize the pulse rate data in ascending order. Then, we can divide the data into quartiles: Q1, Q2 (median), and Q3.

The boxplot will have a box from Q1 to Q3, with a line at the median. To compare the data sets, we can examine the boxplots side by side. By comparing the heights of the boxes, we can determine the interquartile range (IQR) for each group.

A larger IQR suggests greater variability in pulse rates. Additionally, comparing the medians allows us to see if there are any differences in the central tendencies of the two groups.

By visually analyzing the boxplots, we can gain insights into the similarities and differences in pulse rates between males and females. Remember to label the axes properly to ensure clarity.

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Related Questions

what is the derivative of arcsin(x/3)

Answers

The derivative of arcsin(x/3) is\((3/sqrt(1-(x/3)^2))\). This can be derived by using the chain rule on arcsin(x/3) and simplifying.

The derivative of arcsin(x/3) can be derived by using the chain rule.

The chain rule states that the derivative of a function f composed with another function g is the derivative of f multiplied by the derivative of g.

Therefore, the derivative of arcsin(x/3) is

\(d/dx arcsin(x/3) = d/dx (x/3) * (1/cos(x/3))\)

Simplifying this expression, we get

\(d/dx arcsin(x/3) = (3/cos(x/3)) * (1/cos(x/3))\)

Which simplifies to

\(d/dx arcsin(x/3) = (3/cos^2(x/3))\)

Using the identity \(1/cos^2(x) = 1 + tan^2(x)\), we can rewrite this expression as

\(d/dx arcsin(x/3) = 3/sqrt(1-(x/3)^2)\)

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Please answer this in two minutes

Please answer this in two minutes

Answers

Answer:

\( s = 14.1 \)

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

\( s^2 = 9^2 + 21^2 - 2*9*21*cos(31) \)

\( s^2 = 81 + 441 - 378*0.8572 \)

\( s^2 = 522 - 324.02 \)

\( s^2 = 197.98 \)

\( s = 14.1 \) (nearest tenth)

What is 45÷38 ?


215

83

2

2215
ill give brainliest

Answers

It is 1.1315 but if u round it it’s 2
ANSWER-2

An interior decorator bought a print of a famous painting for a home he was decorating. the print had a length of 35 cm and was 5/8 the length of the original painting. what is the length of the original painting?

Answers

To find the length of the original painting, we need to use the given information that the print is 5/8 the length of the original painting, and the length of the print is 35 cm.

To calculate the length of the original painting, we can set up a proportion:

Let x be the length of the original painting.

We can set up the following equation:

35 cm / x = 5/8

To solve for x, we can cross-multiply:

35 cm * 8 = 5 * x

280 cm = 5x

Dividing both sides of the equation by 5:

280 cm / 5 = x

x = 56 cm

Therefore, the length of the original painting is 56 cm.

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An interior decorator bought a print of a famous painting for a home he was decorating. the print had a length of 35 cm and was 5/8 the length of the original painting. The length of the original painting is 56 cm.

The length of the original painting can be found by multiplying the length of the print by the reciprocal of the fraction given.
The length of the print is 35 cm and it is 5/8 the length of the original painting, we can set up the following equation:
35 cm = (5/8) * length of the original painting

To find the length of the original painting, we need to isolate the variable on one side of the equation. To do this, we can multiply both sides of the equation by the reciprocal of the fraction (8/5):
35 cm * (8/5) = (5/8) * length of the original painting * (8/5)

After simplifying, we have:
56 cm = length of the
original painting
Therefore, the length of the original painting is 56 cm.'

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11 Secton Exer Question 2 of 12 (1 point) Attempt 1 of 3h 57m Remaining Identify the kind of sample that is described. An ad is placed in a newspaper inviting computer owners to call a number to give their opinion about high-speed Internet rates. The sample is a (Choose one) sample

Answers

The sample described in the question is a voluntary response sample, as it relies on individuals choosing to call the number and give their opinion about high-speed Internet rates.

The sample described in your question, where an ad is placed in a newspaper inviting computer owners to call a number to give their opinion about high-speed Internet rates, is a self-selected (or voluntary response) sample.

In statistics, qualitative research, and statistical analysis, sampling is the selection of a group of individuals (a statistical sample) by a statistician to estimate the characteristics of the entire population. Statisticians try to collect samples that are representative of the population of interest. Sampling is cheaper and faster to collect data than measuring the entire population and can provide insights where the entire population cannot be measured.

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The equation of a line is y= -3x - 18. What are the coordinates of the point on the
line when the value of yis 3?

Answers

Answer:

-7

Step-by-step explanation:

3=-3x-18

3x=-18-3

3x=-21

x=-7

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POLYCONS IN THE COORDINATE PLANEDLLF5445121110-8-7-6-5-4-3-2-149009WN EE1 2 3 4 5 6 7 8Find theareaof

Answers

Answer:

22 .5

Step-by-step explanation:

1/2×5*9=45/2=22.5

Janelys needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5. 75 hours and charged her $168 for parts. The total was $426. 75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour

Answers

The equation is 5.75 x + 168 = 426.75 and the cost of the labor per hour is $45.

Required to find the value of x.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given the expression is

5.75 x + 168 = 426.75,

where, 5.75x represents the cost of labor per hour, 168 is the cost of the parts

The total = 426.75

According to given we have,

5.75 x + 168 = 426.75,

Substract 168 from both sides we get,

5.75 x + 168-168 = 426.75-168

5.75x = 258.75

x = 45

Therefore, the equation is 5.75 x + 168 = 426.75

The cost of the labor per hour = 45.

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The curve C is given by the equations x=2t, y=12 where t is a parameter. a) Find an equation of the normal to C at the point P on C where t =3. b) The normal meets the y axis at the point B. The finite region R is bounded by the part of the curve C between the origin O and P, and the lines OB and BP. i) Show the region R, together with its boundaries, in a sketch. ii) The region R is rotated through 27 about the y axis to form a solid S. Using integration find the volume of S, giving your answer in terms of . a

Answers

a) To find the equation of the normal to curve C at the point P where t = 3, we first need to find the derivative of the curve.

Differentiating x = 2t with respect to t gives dx/dt = 2, and differentiating y = 12 gives dy/dt = 0 (since y is a constant). The derivative dy/dx can be found by taking the ratio of dy/dt and dx/dt: dy/dx = (dy/dt) / (dx/dt) = 0/2 = 0. Therefore, the slope of the tangent line at point P is 0. The normal line will be perpendicular to the tangent line and have a slope of -1/0, which is undefined. Since the normal line is vertical, its equation will be x = a, where a is the x-coordinate of point P. Given that x = 2t, when t = 3, x = 2(3) = 6. Therefore, the equation of the normal to C at point P is x = 6.

b) i) The sketch of region R includes the curve C, the lines OB and BP, and the origin O. The curve C starts from the origin O, passes through the point P(6, 12), and extends infinitely in the positive x direction. The line OB is the y-axis, and the line BP is the normal to C at point P. The region R is the finite region enclosed by the curve C, the lines OB and BP, and the x-axis.

The volume V of solid S can be calculated as:

V = ∫[from 0 to 6] 2πx(12-0) dx

= 24π ∫[from 0 to 6] x dx

= 24π [x^2/2] [from 0 to 6]

= 24π [(6^2/2) - (0^2/2)]

= 24π (18)

= 432π

Therefore, the volume of solid S is 432π.

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Assume that the following equations characterize a large open economy: (1) Y = 5,000 (2) Y = C + I + G + NX (3) C = 1/2 (Y – T) (4) I = 2,000 – 100r (5) NX = 500 – 500€ (6) CF =-100r (7) CF = NX (8) G= 1,500 (9) T = 1,000 where NX is net exports, CF is net capital outflow, and e is the real exchange rate. Solve these equations for the equilibrium values of C,1,NX, CF,r, and ε. (Hint: You can reduce the total number of equations to two through repeated substitutions. These two equations will be functions of r and ε. Check your work by seeing that all of these equations balance, given your answers.)

Answers

We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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If two sounds can form a minimal pair, they are allophones of two distinct phonemes. Group of answer choices True False

Answers

The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.

A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.


Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.

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Name the angle that corresponds to angle 2.

Name the angle that corresponds to angle 2.

Answers

Answer:

c) angle 4

Step-by-step explanation:

correspond is same spot but diagonally.

Angle 4 is the right answer

Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?

A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.

Answers

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Find the value of 5w+1 given that 7w-7=7.

Answers

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

The facility is square in shape. The length of one of the walls is 20ft. How many square feet is the facility.

Answers

If the facility is square in shape and one of the walls has a length of 20 feet, it means that all sides of the square are of equal length.

Therefore, the area of the facility can be calculated by squaring the length of one side.

Area of a square = side length^2

In this case, the side length is 20 feet, so we can calculate the area as follows:

Area = 20 feet * 20 feet = 400 square feet

Therefore, the facility has an area of 400 square feet.

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Blackberry is also in the business of selling phones. The data for the profit that Blackberry makes on selling tablets is resented by the following equation with profit being P(b) and b being number of blackberry phones sold (both variables in million)

Answers

Answer:

2

Step-by-step explanation:

this might be the rong answer

how easy is it for you to apply algebra concepts when determining angle measures of a polygon?

Answers

To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.


How to calculate the internal angles of a polygon?

First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.

Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.

Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.

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An airplane is flying at an altitude of 5,000 feet and starts descending at a rate of 150 feet per minute. What integer represents the airplane's change in altitude after 10 minutes?ps. this is a integer problem

Answers

Change of rate

We are given the initial altitude of an airplane of 5,000 feet and the rate of descending at 150 feet per minute.

This means every minute the airplane loses part of its initial altitude.

If the airplane descends 150 feet per minute, then after 10 minutes, it has descended 150 * 10 = 1,500 feet.

Since we are not required to calculate the current altitude of the plane, but it change of altitude, we can say: The integer that represents the airplane's change of altitude after 10 minutes is 1,500

What is the least common factor of 2, 4 and 6

Answers

I think it’s 12. Because 2x6 is 12 4x3 is 12 and 6x2 is also 12

please help ASAP!!! Find the volume of the triangular prism.

please help ASAP!!! Find the volume of the triangular prism.

Answers

Answer:

96 cm³

Step-by-step explanation:

V=1/2×6×8×4=196/2=96cm³

length x width x height

Research indicates that there are age differences in the types of coping strategies used across the life span. For example, older adults are more likely to use (fill in the blank) than younger adults

Answers

The answer to this question is less coping strategies.

What are coping strategies?

Coping strategies are ways through which an individual gains some control over their emotions

Yes research has proved that the   Younger adults use more coping strategies than Older adults because now a days so methods for coping strategies like Cigerrate, alcohol, drugs etc things are easily being available to them and they use that to overcome their emotions

where as older adults have already seen most of their life so they are less likely to use these things to overcome their emotions

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Can someone pls help me!

Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?

Can someone pls help me!Ms. Failla decides that she wants to give a test on ratios and rates. The test

Answers

Answer:

Mrs. Storz must give 45 minutes

Step-by-step explanation:

Create a proportion:

t = total time given for all questions

\(\frac{3}{7.5} = \frac{18}{t}\)

Cross multiply:

3t = 135

Divide both sides:

3t/3 = 135/3

t = 45

Can anybody help me solve the problem?

Please explain the steps involved in completing the problem.
A geneticist conducts an experiment with beans, one sample of offspring consisted of 481 green beans and 164 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = % Is the result reasonably close to the value of that was expected?

Answers

We would expect about 75% green offspring and 25% yellow offspring based on Mendelian genetics, and our calculated probability of green offspring is 74.7%.

To estimate the probability of getting an offspring bean that is green, we will use the following formula:

probability of green offspring = number of green offspring / total number of offspring.

To calculate the probability of getting a green offspring using the given data, we'll substitute the values that were given in the formula as follows:

probability of green offspring = number of green offspring / total number of offspring probability of green offspring = 481 / (481 + 164)

probability of green offspring = 481 / 645

probability of green offspring = 0.7465

Converting 0.7465 to percent rounded to one decimal place, we get: 74.7%

The probability of getting an offspring that is green is 74.7% and Yes, the result is reasonably close to the expected value.

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what sampling method is interviewing every 4th person who leaves the movie theatre about whether they like the new popcorn

Answers

The sampling method described, where every fourth person who leaves the movie theater is interviewed about their opinion on the new popcorn, is an example of systematic sampling.

Systematic sampling involves selecting every kth element from a population to form a sample.

In this case, the interval is set to four (k = 4), meaning that every fourth person is chosen for the interview.

This method provides a structured approach and ensures that the sample is representative of the population if there is no systematic pattern or bias in the order of the individuals leaving the theater. However, if there is any regular pattern in the population, such as groups of people attending together, it may introduce bias into the sample.

Overall, systematic sampling is a convenient and efficient method that provides a reasonable representation of the population when applied correctly.

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What do () mean in math?

Answers

Parentheses are employed to indicate changes to the usual order of operations.

Define round brackets.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Mention other brackets as well.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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Rework problem 2 from section 2.4 of your text (page 80) about the group of students who are selecting 2 of their group at random to give a report, but assume that there are 8 males and 6 females. For the following questions, enter your answers as fractions. What is the probability that 2 females are selected? What is the probability that 2 males are selected?

Answers

The probability of selecting 2 males or 2 females seperately out of the group is 1/7.

The probability of selection is calculated by the formula -

Probability = number of events/total number of samples

Number of events is the number of chosen individuals and total number of samples is the total number of people

Total number of people = 8 + 6

Total number of people = 14

Probability of 2 females = 2/14

Dividing the reaction by 2

Probability of 2 females = 1/7

Probability of 2 males will be the same a probability of females, considering the probability is asked from total number of individuals.

Hence, the probability is 1/7.

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If I decide to conduct a research to look for associations among variable, which of the following am I likely to find?
No associations
Some association
Either no association or some association
None of the above.

Answers

If you decide to conduct research to look for associations among variables, you are likely to find either no association or some association.

When conducting research to explore associations among variables, the outcome can vary. You may encounter situations where there is no significant association between the variables being studied. This means that the variables are independent of each other, and their values do not vary systematically or predictably in relation to one another.

On the other hand, you may also discover that there is some association between the variables. This indicates that there is a relationship or connection between the variables, and changes in one variable are related to changes in another variable.

It is important to note that the strength and nature of the associations can vary. Associations can be strong or weak, positive or negative, linear or nonlinear, depending on the specific research question and the variables under investigation.

When conducting research to explore associations among variables, it is likely that you will find either no association or some association. The specific outcome will depend on the nature of the variables and the analysis conducted. It is essential to interpret the results carefully and consider the context and limitations of the study when drawing conclusions about the associations observed.

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The cost price of 18 sweaters is Rs425 per sweater and the total gain of the shopkeeper is Rs 6,750 1 find the sale price of each sweater 2 find profit percentage

Answers

Answer:

1. Sales price per sweater= Rs 800

2. percentage = 46.875% = 46.88%

Step-by-step explanation:

Given;

Cost price = Rs425 per sweater

Number of sweaters = 18

Total gain = Rs 6,750

Total cost price = cost price × number of sweaters

Total cost price = 18 × Rs425 = Rs 7,650

Total sales price = total gain + total cost price

Total sales price = Rs 6,750 + Rs 7,650

Total sales price = Rs 14,400

Sales price (per sweater) = Rs 14,400/18 = Rs 800 per sweater

Profit percentage = total gain/total sales price × 100%

Profit percentage = Rs 6,750/Rs 14,400 × 100%

Profit percentage = 46.875% = 46.88%

How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown

Answers

9 non-congruent squares can be drawn.

What is non-congruent squares?

Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.

Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.

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Can you help me with this question Name the Domain.

Can you help me with this question Name the Domain.

Answers

Solution:

Given:

\(f(x)=\frac{x+1}{x^2-6x+8}\)

The domain is the set of all possible x-values (inputs) that will make the function (output) to be real and defined.

To get the domain of the function given, we need to get the undefined or singularity points.

\(\begin{gathered} f(x)\text{ will be defined only when the denominator is equal to 0.} \\ \text{Hence, singularity or undefined points will occur when,} \\ x^2-6x+8=0 \\ \text{Solving to get these points,} \\ x^2-4x-2x+8=0 \\ x(x-4)-2(x-4)=0 \\ (x-2)(x-4)=0 \\ x-2=0 \\ x=0+2 \\ x=2 \\ \\ OR \\ x-4=0 \\ x=0+4 \\ x=4 \\ \\ \text{Hence, singularity occurs at;} \\ x=2,x=4 \end{gathered}\)

The domain of the function will exist when;

\(\begin{gathered} x\ne2,x\ne4 \\ \\ \text{Hence, the solution to the domain of the function is;} \\ x<2\text{ OR }24 \end{gathered}\)

Hence, the solution to the domain is;

\(x<2\text{ OR }24\)

In interval notation, the domain is;

\((-\infty,2)\cup(2,4)\cup(4,\infty)\)

Therefore, the final answer is;

All real numbers except 2 and 4.

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