Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?

Repeatedly  sample variance from a small population without replacement leads to the outcomes in our sample being non-independent, as the same individuals may be chosen multiple times.

Repeatedly  sample variance from a small population without replacement can lead to skewed results, as the same individuals may be chosen multiple times. This can be problematic when the sample size is small, as the same individuals may be overrepresented in the sample. This can lead to outcomes that are not representative of the population and can lead to inaccurate results. As the same individuals are chosen multiple times, the outcomes in the sample are not independent; the outcomes of one individual can influence the outcomes of other individuals in the sample. This can lead to bias in the results and should be avoided when possible. When sampling from a small population without replacement, it is important to ensure that the sample size is large enough that the same individuals are not chosen multiple times, otherwise the results may be skewed or biased.

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Sampling repeatedly from a small population without replacement leads the outcomes in our sample to be dependent.

In dependent samples, subjects in one group do provide information about subjects in other groups.

Answer:

I would use addition

Step-by-step explanation:

Since addition is the opposite of subtraction.

Answer:

Addition

Step-by-step explanation You would use addition because you can cancle out the numbers that way

The value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

Let's simplify the addition within the parentheses:

8 1/5 + 4 1/5 = (8 + 4) + (1/5 + 1/5) = 12 + 2/5 = 12 2/5

Next, let's simplify the subtraction within the parentheses:

6 6/8 - 6 2/4 = (6 - 6) + (6/8 - 2/4) = 0 + (3/4 - 1/2) = 0 + 1/4 = 1/4

Now, we can substitute the simplified terms back into the original expression:

(8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) = 12 2/5 - 1/4

To subtract mixed numbers, we need to find a common denominator. The common denominator for 5 and 4 is 20. Converting both terms:

12 2/5 = 12 * 5/5 + 2/5 = 60/5 + 2/5 = 62/5

1/4 = 1 * 5/5 * 5/20 = 5/20

Now we can subtract:

62/5 - 5/20 = (62 * 4)/(5 * 4) - 5/20 = 248/20 - 5/20 = (248 - 5)/20 = 243/20

Therefore, the value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

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The graph of the given points forms a proportional relationship.

What is the constant of proportionality?

The ratio connecting two given values in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

All proportional relationships are represented by equations that relate variables only through multiplication and are in the form y=kx, where k is any number.

y = kx

so, k = y/x

We have,

(-2,-3) and (4, 6)

k₁ = -3/-2 = 1.5

k₂ = 6/4 = 1.5

k₁ = k₂

Hence, the graph of given points forms a proportional relationship.

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5 weeks -> $20

Divide 5:

1 week -> $4

Replace week with "w" and $ with "s"

\(w=4s\)

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

The fraction will increase by 140% .

Given,

Numerator is increased by 20% .

Denominator is decreased by 50% .

Then,

Lets call one number x and the other one y

first you have the fraction x/y

When you increase the numerator by 20% you get 1.2

when you increase the denominator by 50% you get 0.5

Then you get the fraction 1.2x/0.5y

Since fractions are basically division you divide 1.2 by 0.5 which is 2.4

2.4 as a percent is 240%

you subtract that from 100 and you get 140% .

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a).  The Lagrangian L is defined as L = T - V. Substituting the expressions for T and V, we have L = (1/2)m(v_r² + r²v_θ² + v_z²) - V(r) , b). the conserved quantity is Q = p_z * s. This conserved quantity corresponds to the conservation of linear momentum in the z-direction, indicating that the z-component of the linear momentum remains constant throughout the motion.

a) To derive the Lagrangian of the system in cylindrical coordinates (r, θ, z), we start by expressing the kinetic energy T and potential energy V in terms of these coordinates. The kinetic energy of the mass is given by T = (1/2)mv², where v is the velocity. In cylindrical coordinates, the velocity components are v_r, v_θ, and v_z. The squared velocity can be written as v² = v_r² + r²v_θ² + v_z².

The potential energy V(r) is given as V = V(r). Therefore, the Lagrangian L is defined as L = T - V. Substituting the expressions for T and V, we have L = (1/2)m(v_r² + r²v_θ² + v_z²) - V(r).

b) To apply Noether's theorem, we consider the transformation z(t) → z(t, s) = z(t) + s, where s is a parameter associated with the transformation. Noether's theorem states that for each continuous symmetry of the Lagrangian, there exists a corresponding conserved quantity.

Under the given transformation, the Lagrangian L remains invariant. To determine the conserved quantity associated with this symmetry, we can apply Noether's theorem. The conserved quantity is obtained by taking the partial derivative of the Lagrangian with respect to the corresponding generalized coordinate's velocity and multiplying it by the parameter s. In this case, the generalized coordinate is z, and its conjugate momentum is p_z.

Thus, the conserved quantity is Q = p_z * s. This conserved quantity corresponds to the conservation of linear momentum in the z-direction, indicating that the z-component of the linear momentum remains constant throughout the motion.

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Answer:

10

13

15

17

22

Step-by-step explanation:

the first 5 terms will be 1,2,3,4 and 5.

I guess...

Answer:

a1 = 10

a2 = 13

a3 = 16

a4 = 19

a5 = 22

Step-by-step explanation:

Substitute in the value of  n  to find the  n

th term.

a1 = 3 (1) + 7

3 + 7 = 10

a2 = 3 (2) + 7

6 + 7 = 13

a3 = 3 (3) + 7

9 + 7 = 16

a4 = 3 (4) + 7

12 + 7 = 19

a5 = 3 (5) + 7

15 + 7 = 22

good luck, hope this helps :)

Answer: 12

Step-by-step explanation:

I don’t know if I’m right but I’m Sure it’s 12

Answer:

hold up lemma check

Step-by-step explanation:

Question 14

\(\frac{\sin x}{26}=\frac{\sin 49^{\circ}}{25}\\\\\sin x=\frac{26\sin 49^{\circ}}{25}\\\\x \approx 51.7^{\circ}, 128.3^{\circ}\)

Both of these values satisfy the angle sum of a triangle.

Question 16

\(\frac{\sin x}{8}=\frac{\sin 105^{\circ}}{11}\\\\\sin x=\frac{8 \sin 105^{\circ}}{11}\\\\x \approx 44.6^{\circ}, 135.4^{\circ}\)

However, the second case exceeds the angle sum of a triangle, so \(x \approx 44.6^{\circ}\).

The percent of the utterances in the sample need to be 1 word in length is 13.3%.

Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.

Therefore, the percentage will be:

= 1 word/Total words × 100

= 12/90 × 100.

= 13.3%

In conclusion, the percentage is 13.3%.

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The coefficient of determination measures goodness of fit.

The coefficient of determination, often referred to as R-squared, measures the goodness of fit in a regression analysis. It does not measure the independence of variables, economic plausibility, or independence of residuals.

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The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

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4.8

Step-by-step explanation:

include cut the tree into six equal pieces to solve the problem noticed that then we have to divide the total height of the tree by 6 to get the length of One Piece

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:6

Step-by-step explanation:

factor the quadratic

(x-6)(x-6)=0

x=6

Step-by-step explanation:

I have explained everything in the picture, I hope you can see it and if any questions please do ask.

The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.

The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.

In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.

When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.

On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.

Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.

The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.

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Answer:

140 degrees

Step-by-step explanation:

All triangles sum of all 3 angles equal 180 degrees

we add 64 and 76 together

64+76

140

180-140

40 degrees is the third angle

To find the outdoor angle we subtract 180 from 40 since the angle is on the same flat line and a flat line is 180 degrees

180-40

140 degrees

Hopes this helps please mark brainliest

Answer: 40

Step-by-step explanation: 64+76=140 and 180-140=40

With a sample size of 50, we can assume that the sample is normally distributed and use a t-distribution to calculate the confidence interval. To estimate how long, on average, a person has to wait in line for a ride on that day, we need to construct a confidence interval for the population mean.

We can use the one-sample t-test to estimate the average wait time for the day with a random sample of 50 people who just got off the ride (for various rides) and ask them how many minutes they waited in line for that ride. We can use a one-sample t-test to determine if the sample mean significantly differs from the population mean.

If the null hypothesis is rejected, we can estimate the population mean by constructing a confidence interval. Confidence intervals estimate the range of values that the population means could be. To estimate the population means wait time for rides at Disneyland, we can use a one-sample t-test and construct a confidence interval for the population mean.

The procedure that should be used to determine the average wait in line for that day is to construct a confidence interval for the population mean. This procedure will give us a range of values that the population's mean wait time could be.  The procedure that should be used to determine the average wait in line for that day is to construct a confidence interval for the population mean.

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Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

The probability that a dart hits one of the shaded areas is 1/6 when a dart is thrown at a regular hexagon dartboard with the design shown.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions.

Here,

angle of hexagon=360/6=60°

using trigonometric ratios,

area of triangle=bh/2

=(h*h√3/2)/2

=h²√3/4

area of hexagon=6*area of triangle

=6*(h²√3/4)

=3√3*h²/2

area of rectangle=bh

=h*h√3

=h²√3

area of shaded region,

=3√3*h²/2-h²√3

=h²√3/2

area of 1 shaded region=(h²√3/2)/2

=h²√3/4

Probability of hitting one shaded area,

=(h²√3/4)/(h²3√3/2)

=1/6

When a dart is thrown at a standard hexagonal dartboard with the pattern shown, the likelihood that it will land in one of the shaded areas is 1/6.

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In a right triangle, the side opposite the right angle is called the hypotenuse. The other two sides are called the legs, with the longer leg opposite the larger acute angle. In this problem, side b is one of the legs of the triangle.

To find the length of side b, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Mathematically, this can be expressed as:

a^2 + b^2 = c^2

where a and b are the legs of the triangle and c is the hypotenuse.

In this problem, we are not given the lengths of sides a and c, but we can use the fact that the triangle is a right triangle to find them. For example, if we are given the lengths of the other leg and the hypotenuse, we can use the Pythagorean theorem to find the length of side b. Alternatively, we can use trigonometric ratios such as sine, cosine, or tangent to find the lengths of the sides.

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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

What is probability

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

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Answer:

17.19

Step-by-step explanation:

First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)