10 points!!HELPP ME PLEASE ❗️❗️4. Figure HJKL - Figure PQRS

Which of the following completes this proportion?
HJ/PQ =HL/?

A KL
B PQ
C RS
D PS

Answer:

The radius is  4 m.

Step-by-step explanation:

The area of a circle with radius r  is

A = π ⋅ r 2 ⇒ r = √ A π

Where  A = 50.24

Hence

r = √ 50.24 π = √ 16 = 4 m

Answer 1: Together, Streetcar and Cable Car are the preferred transportation for 168 residents.

The circle graph shows the percentage of residents who prefer each transportation method, and the total sample size is 400.

For streetcar, (15/100) x 400 = 60 residents prefer it, and for cable car, (27/100) x 400 = 108 residents prefer it.

Together, Streetcar and Cable Car are the preferred transportation for 60 + 108 = 168 residents.

Answer 2: The median is the best measure of center, and it equals 19.

The box plot shows the distribution of the number of tickets sold for a school dance.

The median is the middle value of the data when arranged in order, and it is represented by the line in the box. In this case, the median is 19. The mean, on the other hand, can be influenced by extreme values, and we cannot determine it from the box plot alone.

Answer 3: Median, because Sunny Town is skewed.

When comparing the data, we need to consider the measure of center that is less affected by extreme values, and that is the median.

The median is the middle value of the data when arranged in order. The histogram for Sunny Town is skewed to the right, which means that there are some very high values that are affecting the mean.

Therefore, the median is the better measure of center to determine which location typically has the cooler temperature.

Answer 4: The IQR of 13 is the most accurate to use, since the data is skewed.

The histogram shows the frequency of donations received by a charity, and the data is skewed to the right.

The IQR (Interquartile Range) is the difference between the third quartile (Q3) and the first quartile (Q1), which represents the middle 50% of the data.

The IQR is less sensitive to extreme values and is a better measure of variability for skewed data. In this case, the IQR is 49 - 42 = 7, which is the most accurate measure of variability to use.

Answer 5: There were about 15 principals in attendance.

In the exhibit room, out of 80 people, 15 are principals.

We can assume that the proportion of principals in the exhibit room is the same as the proportion of principals in the conference.

Therefore, the estimated number of principals in the conference is (15/80) x 900 = 168.75, which is approximately 169.

Answer 6: Histogram

The teacher wants to represent the subject preferences of 100 students. A histogram would be the best graphical representation to use because it shows the frequency distribution of a continuous variable, which in this case could be the number of students who prefer each subject.

A stem-and-leaf plot is used for small datasets, and a box plot is used to display the distribution of a continuous variable across categories. A circle graph is more appropriate for displaying categorical data, such as the percentage of students who prefer each subject.

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

Below.

Step-by-step explanation:

Reflection in x-axis: (x, y) ----> (x, -y).   (x value stays the same)

Reflection in y-axis: (x, y) ----> (-x, y).   ( y value stays the same)

The approximate percentage of sales tax is 1%

A gymnastics mat priced at $53.

A cost of mat after adding sales tax = $53.53

So, the tax amount would be,

53.53 - 53 = 0.53

We need to find the sales tax percentage.

Let x be the percentage of sales tax.

x = (0.53)/(53.53)  * 100

x = 0.0099 * 100

x = 0.99%

x ≈ 1%

Therefore, the approximate percentage of sales tax is 1%

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Answer:

    \(l = \frac{lx_{2}-8}{4}\)

\(l_{2} = x4(l+2) , x\neq 0, where l =-2 and x =0​\)

Step-by-step explanation:

\(l = \frac{lx_{2}-8}{4}\)

l2x−4l=8 Subtract l2x from both sides. −4l=8−l2x The equation is in standard form. −4l=8−xl 2 ​ Divide both sides by −4. −Dividing by −4 undoes the multiplication by −4.

\(l_{2} = x4(l+2) , x\neq 0, where l =-2 and x =0​\)

The error sum of squares (SSE) is a measure of the variability or dispersion of the observed values around the regression line.

It is calculated by summing the squared differences between the observed values and the predicted values from the regression line. The formula for SSE is given by: SSE = Σ(yᵢ - ŷᵢ)². where yᵢ represents the observed values and ŷᵢ represents the predicted values from the regression line. In this case, the standard error of estimate (Se) is provided as 21, which is the square root of the mean squared error (MSE). Since the MSE is equal to SSE divided by the degrees of freedom (n - 2) for a simple regression problem, we can use this information to calculate SSE. Se² = MSE = SSE / (n - 2). Rearranging the equation: SSE = Se² * (n - 2). Substituting the given values: SSE = 21² * (12 - 2).SSE = 441 * 10. SSE = 4410. Therefore, the error sum of squares is 4410. Option a) is the correct answer.

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To determine the combination of x and y that will yield the best objective function value for the given problem, we need to minimize the expression $3x + $15y subject to the constraints 1.2x + 4y < 12 and 5x + 2y < 10. The options provided are (0, 3), (2, 0), and (0, 2). We need to evaluate each option and choose the one that results in the lowest objective function value.

Let's evaluate each option using the objective function $3x + $15y and check which combination of x and y yields the lowest value.

1. For the option (0, 3):

Plugging in x = 0 and y = 3, we get: $3(0) + $15(3) = $45.

2. For the option (2, 0):

Plugging in x = 2 and y = 0, we get: $3(2) + $15(0) = $6.

1.For the option (0, 2):

Plugging in x = 0 and y = 2, we get: $3(0) + $15(2) = $30.

Among the given options, the combination (2, 0) yields the lowest objective function value of $6. Therefore, the combination of x = 2 and y = 0 will give the best objective function value for this problem.

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Answer:

Step-by-step explanation:

its a trapezium 0.5(a+b)h

The exact length of the curve is 549.15 units, for parameters x = 8 6t2, y = 5 4t3, 0 ≤ t ≤ 5 using derivative & integration.

The curve has the parametric equations

x = 8 6t² and

y = 5 4t³,

where 0 ≤ t ≤ 5.

Step 1: Find the derivative of x with respect to t

dx/dt = 96t

Step 2: Find the derivative of y with respect to t

dy/dt = 60t²

Step 3: Calculate the integrand

\(\sqrt{[(dx/dt)² + (dy/dt)²]}\)

Substitute the expressions for dx/dt and dy/dt and

=`\(\sqrt{[(96t)² + (60t²)²] }\)

= \(\sqrt{[9216t² + 3600t^4]}\)

`Step 4: Integrate with respect to t, from `0` to `5`:

\(\int_0^5\ \sqrt(9216t^2+3600t^4)dt\\\\225/4\int_0^5\sqrt36t^2+25t^4]dt\)

Use the substitution `u = t²` and `du/dt = 2t`.

The limits of integration change to `u = 0` when `t = 0` and `u = 25` when `t = 5`.

Then, the integral becomes:

=225/4 int_0⁵ \(\sqrt{[36t^2 + 25t^4]} dt\)

= 225/4 int_0²⁵ \(\sqrt{[36u + 25u²]) } /2\sqrt{u} du\)

=225/4 int_0^25 (3\(\sqrt{[u + 4u²/9]}\))/(2\(\sqrt{[u]}\)) du

= 75/2 int_0^25 (\(\sqrt{[9u² + 4u³] }\)\(u^{-\frac{1}{2} }\)) du`

Use the substitution `v = 9u² + 4u³`, `dv/du = 18u + 12u²`.

When `u = 0`, `v = 0`, and when `u = 25`, `v = 24375`.

Thus, the integral becomes:

=`75/2 int_0^24375 \(v^{-\frac{1}{2} }\) (18u + 12u²) du

=`75/2 int_0^24375 (18/2 \(v^{-\frac{1}{2} }\) + 12/2 \(v^{-\frac{1}{2} }\) u) du

= 675/2 int_0^24375 \(v^{-\frac{1}{2} }\) + 450/2 \(v^{-\frac{1}{2} }\)]_0^24375

=675/2 int_0^24375 \(v^{-\frac{1}{2} }\) + 450/2\(v^{-\frac{1}{2} }\)]_0^24375

= 675/2 [\(2(24375)^{-\frac{1}{2} }\) + \(3(24375)^{-\frac{1}{2} }\) - \(2(0)^{-\frac{1}{2} }\) - \(3(0)^{-\frac{1}{2} }\)]

= 549.15`

Therefore, the exact length of the curve is `549.15` units.

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Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Answer:

Sorry, it's gonna be 0.97, and you just add 0.12 to 0.25 7 times. This is the right answer.

Step-by-step explanation:

Answer:

b

Block B has the greatest density.

Step-by-step explanation:

density = mass/volume

volume = length × width × height

All blacks have the dimensions 7 cm by 3 cm by 1 cm, so the 3 volumes are equal.

Since density = mass/volume, and the volumes are equal, the block with the highest mass has the highest density.

Since all the masses are different, all densities are different.

Answer: Block B

Answer:

6f-15

Step-by-step explanation:

First distribute 3/2.

3/2(4) =6

3/2(-10) =15

So, the answer should be 6f-15.

Let me know if you do not understand or need further explanation :)

Answer:

The name of the function is linear function.

Step-by-step explanation:

A linear function is the function representing a straight line.

A linear function is used to define the relationship between a dependent variable and independent variable.

The general form of a linear function is:

y = m·x + c

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept

The function provided is:

f (x) = 4·x - 2

The above function is similar to the linear function's general form.

The slope of the provided function is 4 and the intercept is -2.

Thus, the name of the function is linear function.

Answer:

\(\huge\boxed{\sf 2}\)

Step-by-step explanation:

Since these triangles are similar, we'll use proportion to find the unknown side.

\(\sf \frac{25}{10} = \frac{5}{?}\)

Cross Multiply

\(\sf ? * 25 = 10*5\)

Divide 25 to both sides

\(\sf ? = 50/25\\\\? = 2\)

\(\rule[225]{225}{2}\)

Hope this helped!

As a claims handler, Maria is responsible for managing and processing claims submitted by customers or clients. This role involves handling various types of claims, such as insurance claims, warranty claims, or product return claims, depending on the nature of the business.

In this capacity, Maria's ongoing work as a claims handler involves receiving and reviewing claim submissions, verifying the validity of the claims, gathering necessary documentation or evidence to support the claims, and assessing the coverage or liability.

She acts as a liaison between the customers and the organization, ensuring that the claims process is smooth and efficient. Maria may also need to investigate the circumstances surrounding the claims and make decisions on the appropriate course of action, such as approving or denying claims or negotiating settlements.

Additionally, she may be responsible for documenting and maintaining records of claims, communicating with customers to provide updates or resolve any issues, and ensuring compliance with applicable regulations and policies.

Overall, as a claims handler, Maria plays a crucial role in providing timely and fair resolutions to customer claims, maintaining customer satisfaction, and protecting the interests of the organization.

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There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.

Provided that,

Mean of the population = 500

The standard deviation(S.D) of the population = 75

Assume,the variable in normal distribution = X

Z= (x- mean)/ S.D

Provided , x = $350 - $400

Z= 350-500/75 = -2(when x=$350)

Z= 400-500/75 = -1.3 (taken x= $400)

The probability that a household will spend between $350 and $400 monthly

P(350>X<400) = P( -2>Z<-1.3)

                        = 0.02275 to 0.0968 (from probability table)

Therefore, the final answer is 0.02275 to 0.0968.

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first, draw all the coordinates on a x and y-axis graph (the final look will be a trapezoid like the one drawn in the attached file). to find the area of a trapezoid, AB = 5, DC = 1 and h = 5, hence;

\(area = \frac{ab + dc}{2}.h \\ area = \frac{5 + 1}{2} \times 5 \\ area = \frac{6}{2} \times 5 \\ area = 3 \times 5 = 15\)

hence the area for this trapezoid by the given coordinates is 15 units.

Answer:

1) 91+35=90+40+130

2) 16+15=20+20=40

3) 84+77=80+80=160

4) 25+49=30+50+80

5) 46+31=50+30=80

6) 44+56=40+60=100

7) 82+35=80+40=120

8) 57+9=60+10=70

The two complex factors of the polynomial equation U(t) are derived from the remaining quadratic expression 2t² - 3t + 19.

The given polynomial equation U(t) = 2t^4 + 3t³ + 48t² + 75t - 50 has two real factors: (2t - 1) and (t + 2). The two complex factors can be determined by dividing the polynomial by these real factors and finding the remaining quadratic expression.

First, let's perform long division using the factor (2t - 1):

______________________

(2t - 1) | 2t^4 + 3t³ + 48t² + 75t - 50

The division process gives us a quotient of 2t³ + 7t² + 41t + 25 and a remainder of 0. Now, we can factorize the quotient expression: 2t³ + 7t² + 41t + 25.

Next, let's perform long division using the factor (t + 2):

________________________

(t + 2) | 2t³ + 7t² + 41t + 25

The division process gives us a quotient of 2t² - 3t + 19 and a remainder of 0. Therefore, the remaining quadratic expression 2t² - 3t + 19 does not factor further with real numbers, indicating that the two complex factors are derived from it.

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The value of z for a 95% confidence interval is approximately 1.960, rounded to three decimal places.

To find the value of z for a 95% confidence level, we can use the standard normal distribution table or a calculator.
Therefore,

The value of z that should be used to calculate a confidence interval for the percentage of married couples in which at least one partner has a doctorate with a 95% confidence level is:
z ≈ 1.96
To find the value of z for a 95% confidence interval, you will use the standard normal distribution table or a calculator with a built-in function.
For a 95% confidence interval, you want to find the z-score that corresponds to the middle 95% of the distribution, which leaves 2.5% in each tail.

Look for the z-score that corresponds to the 0.975 percentile (1 - 0.025) in the table or calculator.
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Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.

To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:

Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.

In this case:

So the slope of the line is:

The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.

It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.

This question is incomplete and should be written as:

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Answer:

A) 16

Step-by-step explanation:

y = kx

16 = k*8

16/8 = k

k = 2

y = 2x

32 = 2x

32/2 = x

16 = x

Answer:its c or d hope i help

Step-by-step explanation:

Answer:

2940π square feet.

Step-by-step explanation:

The exact surface area of a cylinder is given by the formula:

2πr² + 2πrh

where r is the radius and h is the height.

Substituting the values given in the question, we have:

2π(30)² + 2π(30)(19)

Simplifying:

2π(900) + 2π(570)

2π(900 + 570)

2π(1470)

The exact surface area of the cylinder is:

2940π square feet.