If a smaller replica of the singapore flyer was constructed, what conclusions could you draw about the central angle of the original wheel and replica? what conclusions could you draw about the arc length of the original ferris wheel and replica?

Answer:

L=2m+3

Step-by-step explanation:

If the sample size in part c is larger, then the sample standard deviation will be a better estimate of the population

standard deviation.  If the sample size is smaller, then the sample standard deviation will be less reliable and may not

be a good estimate of the population standard deviation.

To describe the standard deviation in part c relative to the population standard deviation from which the samples were

generated, you can use the concept of the sample standard deviation.

The sample standard deviation is a measure of the variation in a set of data that is calculated by taking the square root

of the variance of the data set. The variance is the average of the squared differences from the mean. It is important to

note that the sample standard deviation is an estimate of the population standard deviation, which is the true measure

of the variability in the population. The larger the sample size, the closer the sample standard deviation will be to the

population standard deviation. Therefore, if the sample size in part c is larger, then the sample standard deviation will

be a better estimate of the population standard deviation.

Conversely, if the sample size is smaller, then the sample standard deviation will be less reliable and may not be a

good estimate of the population standard deviation.

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Answer:

Option A and C

Step-by-step explanation:

Explanation for why I choose option A :-

If you look at the triangle, HK has a midpoint of point L, HJ has a midpoint of point M, and KJ has a midpoint of point N. Now if you stretch the lines inside of the triangle, they intersect at point P which is known as the circumcenter of HJK, true.

Explanation for why I choose option C :-

Now let us look at the lines stretch inside of the triangle. There are three lines which are congruent. Those lines are PK, HP, and PJ (they are the big lines inside the triangle) are congruent. Since those three line intersect at point P, it make the statement true that P is the circumcenter of HJK.

We do not know the third line (PN) measurements to find that if the three lines (PL, PM, and PN) are congruent and equal 90⁰. Since we do not know, it would not prove that they are congruent and P is the circumcenter of HJK.

Well it says that triangle HJK is an acute triangle which is true, but this doesn't prove that P is the circumcenter of HJK.

I hope this helps, thank you :) !!

The required conditions are L, M, N are the midpoints of \(\overline{HK}, \overline{HJ}, \overline{KJ}\) and \(\overline{PK}\cong \overline{HP}\cong \overline{PJ}\). So, options A and C are correct.

Given:

The given figure of a triangle HJK.

To find:

The conditions that would be enough to prove that P is the circumcenter of HJK.

Explanation:

The circumcenter of a triangle is the intersection of perpendicular bisectors and it is equidistant from each vertex of the triangle.

P is the circumcenter of triangle HJK if PL, PM, PN are perpendicular bisectors and P is equidistant from vertices H, J, K.

PL, PM, PN are perpendicular bisectors if L, M, N are the midpoints of \(\overline{HK}, \overline{HJ}, \overline{KJ}\).

P is equidistant from vertices H, J, K if \(\overline{PK}\cong \overline{HP}\cong \overline{PJ}\).

The required conditions are L, M, N are the midpoints of \(\overline{HK}, \overline{HJ}, \overline{KJ}\) and \(\overline{PK}\cong \overline{HP}\cong \overline{PJ}\). So, options A and C are correct, and other two options are incorrect.

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Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3  

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)  

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .  

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).  

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

 on squaring both sides we get,

 ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

 ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)  

We Know, the slope of CD = 3

⇒Thus,  (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,  

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

The answer above is 100% correct

Step-by-step explanation:

I got 100 on my quiz.

Answer:

There are 76 students:

g + b = 76

girls is 13 more than twice the boys:

g = 2b + 13

replace g with 2b + 13 in 1st equation

2b+13+b = 76

3b + 13 = 76

3b = 63

b = 21 boys

g = 76-21 = 55 girls

Step-by-step explanation:

Answer: f(x) and g(x) both represent y of the equations

Step-by-step explanation: f(x) and  g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.

Answer:

I would say 800, sorry if it was wrong

Step-by-step explanation:

She ran the most on 800

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

\( \frac{7}{13} \times 260\)

=140

for the second angle

260-140=120

The animal that eats the most include the following: giraffe.

In Mathematics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the given frequency table, we can reasonably infer and logically deduce that giraffe is an animal that eats the most because it ate 100 pounds of food in a day and based on Molly's claim, the animal that eats the most, weighs the most and vice-versa.

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The appropriate hypothesis for this case is C. H0: μ = 100 versus Ha: μ ≠ 100, where μ represents the true mean number of junk emails received this day by employees of this company.

It is the appropriate hypothesis because the null hypothesis (H0) says that the true mean number of junk emails received by employees is 100.

The alternative hypothesis (Ha) suggests that the true mean is not equal to 100, showing that there is a difference in the average number of junk emails received.

Also, note that the proportion (p) is not being compared in this scenario, but rather the mean (μ) because the data shows the number of junk emails received per day by employees.

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Answer:

Step-by-step explanation:

6 / 3√5

= 2/√5

= 2√5/5

Answer:

 \(\frac{2\sqrt{5} }{5}\)

Step-by-step explanation:

First, you can take a factor of (3) out of the numerator and denominator. This simplifies to equal 1, so you are left with 3/√5.

6 / 3√5   ----->   (3/3)  x  2/1√5  --->  (1)  x  2/√5  --->  2/√5

Because radicals should not be kept in the denominator, multiply both the numerator and denominator by the radical of 5. This removes the radical from the denominator while altering both the numerator and denominator equally. Remember, the square root of a number is technically the number raised to the 1/2 power. The 1/2 power times the 1/2 power equals the power of one, essentially "eliminating" the radical.

2/√5  --->  2/√5  x  √5/√5  --->  2√5 / 5

As there is not way to simplify further, your final answer should be \(\frac{2\sqrt{5} }{5}\).

Considering the definition of a system of linear equations, the lines intersects at the point (0,-7).

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are fulfilled. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

The unknowns established in a system represent the point where the lines intersect in a Cartesian plane (x,y).

The system of equations to solve is:

\(\left \{ {{y=2x-7} \atop {y=x-7}} \right.\)

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, the "y" variable is already isolated in the first equation. Substituting in the second equation you get the expression:

2x -7= x-7

Solving:

2x -x= -7 + 7

x= 0

Substituting this value in the first equation you obtain the value of y:

y=2×0 -7

y= 0 -7

y= -7

So, the solution of the system of equations is (0,-7). That is, the lines intersects at the point (0,-7).

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Answer:

Yes, the lines will intersect, if you plug in y for both equations, you get x0. To find Y, plug in 0 for either equation, this will get you 7. (0,7). This should work for both equations because the intersection point is the same point where both equations meet.

Step-by-step explanation:

Answer:

I say p because in order to see how many dollars she pays, she needs to find how gallons are there.

Step-by-step explanation:

Correct me if I am wrong

Answer:

B.) A device used to measure

Step-by-step explanation:

me·ter [mee-ter] n

1. a unit of length equal to 39.37 inches

2. a device used to measure

3. the rhythm of music across time

4. the process of determining how much postage is needed to mail a letter

With these defintions we can know that when the sentence says “My dad asked me to hold the meter while he turned the dial" ,so she is holding the object of measurement while her dad is moving the device ,so with this your answer is B.).

The probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.

To find the probability that the sample mean will be less than 9.10 ounces, we need to use the Central Limit Theorem. Given that the sample size is large (n = 25) and assuming that the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed.

To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Since the population mean and standard deviation are not provided, we cannot determine the exact probability. However, we can still indicate the interval that includes the probability.

Based on the given answer choices, the appropriate interval that includes the probability would be .0000 to .0500, as it represents the lowest range of probabilities.

In conclusion, the probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.

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Answer: 4x + 2y

Step-by-step explanation: 1/2(6x-8y) = 3x - 4y

1/2 * 6x= 3x

1/2 * 8y = 4y

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

-3 * -2 = 6y

4x - 3x + 6y + 3x - 4y

= 4x + 2y

The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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Answer:

the answer is -1/4x which isn't on there

Step-by-step explanation:

It is given \(\sin{x} = \frac{7}{25}\) and \(\cos{x} = \frac{24}{25}\)

And we know that \(\sin{2x} = 2 \sin{x} \cos{x}\)

Then \(\sin{2x} = 2 \cdot \frac{7}{25} \cdot \frac{24}{25} = \frac{2 \cdot 7 \cdot 24}{25 \cdot 25} = \frac{336}{625}\)

Answer:

B on edge

Step-by-step explanation:

The similarity between the volume of a cone and the volume of a pyramid is that:

In contrast, the differences between the volume of a cone and the volume of a pyramid include:

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

In this context, we can infer and logically deduce that the similarity between the volume of a cone and the volume of a pyramid is that:

On the other hand (conversely), the differences between the volume of a cone and the volume of a pyramid include:

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0.0247

To form a 95% confidence interval for the difference in the proportion of Center Party members at the two survey times, one needs to use the following formula: CI = (p1 - p2) ± z (SE), where p1 and p2 are the sample proportions for February 2022 and January 2022, respectively. To calculate the standard error (SE), use the following formula: SE = √ [(p1 (1-p1))/n1 + (p2 (1-p2))/n2], where n1 and n2 are the sample sizes for February 2022 and January 2022, respectively.The statistical margin of error is the term used to describe the range of error that is expected for a statistical estimate or survey. This range of error is expressed as a percentage of the estimate or survey result, and it is typically denoted as a plus or minus sign before the percentage value. Thus, the statistical margin of error can be calculated by taking the product of the standard error and the z-score corresponding to the desired level of confidence. In this case, the level of confidence is 95%, and the corresponding z-score is 1.96. Therefore, the formula for the margin of error is: ME = z × SE, where z = 1.96. So, let's now calculate the confidence interval for the difference in the proportion of Center Party members at the two survey times.CI = (p1 - p2) ± z (SE)CI = (0.052 - 0.06) ± 1.96 (SE)SE = √ [(p1 (1-p1))/n1 + (p2 (1-p2))/n2]SE = √ [(0.052 (1-0.052))/1972 + (0.06 (1-0.06))/2189]SE = 0.0126ME = z × SE = 1.96 × 0.0126ME = 0.0247Therefore, the 95% confidence interval for the difference in the proportion of Center Party members at the two survey times is (-0.057, -0.029), and the statistical margin of error is 0.0247 (rounded to 4 decimal places).Answer: 0.0247

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Answer:

x+ x=?

Step-by-step explanation:

The Cupcake Café’s recipe for cheesecake calls for 2/3 cup of cream cheese.42 cups of cream cheese does the café use to make 63 cheesecakes.

What is word problem?

A word problem is a mathematical problem or puzzle that is presented in the form of a written description or narrative, rather than as a simple equation or formula. It typically involves a scenario or situation that requires mathematical calculations or problem-solving skills to arrive at a solution. Word problems can be found in a variety of settings, including in math textbooks, standardized tests, and real-life situations. They often require the reader to identify and interpret relevant information, apply mathematical concepts and formulas, and use critical thinking skills to arrive at a correct answer.

To make 63 cheesecakes, the Cupcake Café would use:

(2/3 cup of cream cheese per cheesecake) x (63 cheesecakes)

= 42 cups of cream cheese.

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The product of 2.43 and 13, which is the result of the multiplication operation, is 31.59.

The product of two or more numbers is the result of the multiplication operation performed on the numbers.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

The multiplication operation involves the multiplicand, the multiplier, the multiplication operand (x), the equal symbol (=), and the result, known as the product.

2.43 x 13 = 31.59

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Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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