What kind of sequence is this? 52, 39, 26, 13, ...

In the coordinate plane, if a line is drawn to connect two points (4, 2), and (8, 6), then the coordinates of the midpoint of the line joining these two points are ({4 + 8}/2, {2 + 6}/2) = (12/2, 8/2) = (6, 4).

Midpoint refers to a point that is in the middle of the line joining two points. The two reference points are the endpoints of a line, and the midpoint is lying in between the two points. The midpoint divides the line joining these two points into two equal halves. Further, if a line is drawn to bisect the line joining these two points, the line passes through the midpoint.

The midpoint formula is used to find the midpoint between two points whose coordinates are known to us. The midpoint formula is also used to find the coordinates of the endpoint if we know the coordinates of the other endpoint and the midpoint. In the coordinate plane, if a line is drawn to connect two points (4, 2), and (8, 6), then the coordinates of the midpoint of the line joining these two points are ({4 + 8}/2, {2 + 6}/2) = (12/2, 8/2) = (6, 4). Let us learn more about the formula of the midpoint, and different methods to find the midpoint of a line.

(3, 8 )

given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(x+x /2  ,y+y/2  )

here (x₁, y₁ ) = P (1, 6 ) and (x₂, y₂ ) = Q (5, 10 ) , then

midpoint = (1+5/2 ,++10/2  ) = ( 6/2 , 16/2 ) = (3, 8 )

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According to the empirical rule, the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean is 95% .

The empirical rule, also known as the 68-95-99.7 rule or the three-sigma rule, is a statistical guideline that describes the approximate distribution of data that can be reasonably approximated by a normal curve. The rule states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In other words, if a set of data is normally distributed (meaning it follows a bell-shaped curve), we can use the empirical rule to estimate the proportion of the data that falls within a certain range of values.

For example, let's say we have a data set that has a mean of 50 and a standard deviation of 10. Using the empirical rule, we can estimate that approximately:

68% of the data falls between 40 and 60 (one standard deviation from the mean)

95% of the data falls between 30 and 70 (two standard deviations from the mean)

99.7% of the data falls between 20 and 80 (three standard deviations from the mean)

It's important to note that the empirical rule is only an approximation, and it only applies to data that is approximately normally distributed. In some cases, the actual distribution

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Answer: See below

Step-by-step explanation:

Sophie's speed is --> s miles/hour

Yesterday, Sophie biked for --> t hours

Distance = speed * time

Distance = (s miles/hour)(t hours)

Distance = (s)(t)

Therefore, Sophie's route was s*t or st miles long

Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.

Good luck :)

Answer:

Katie is 6; Cathy is 18!

Happy learning!

--Applepi101

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Answer: Heyaa! ~

Graph the line using the slope and y-intercept, or two points.

Slope:

1/2

y-intercept: (0,1)

x   ↓  y

0   ↓  1

2   ↓  2

Step-by-step explanation:

Hopefully this helps you! ~

Answer:

Use the Desmos graphing calculator. Look up "graphing calculator" and hit the Desmos option, then type in your equation. It works.

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The rate of change of the x-component is given by dr/dt = 2t, where t represents the time in seconds.

The equation for the rate of change of the volume of the right circular cylinder with respect to time is given by dV/dt = π(2\(t^3\))(2\(t^2\) + 2t).

At a specific moment, the rate of change of the x-component can be determined by differentiating the equation for the radius with respect to time and evaluating it at that moment.

The volume V of a right circular cylinder is given by V = π\(r^2\)h, where r is the radius and h is the height.

In this case, the radius r is given by r = \(t^2\) and the height h is given by h = \(t^{(2/1)}\) = \(t^2\).

To find the rate of change of the volume with respect to time, we differentiate the volume equation with respect to time:

dV/dt = d(π\(r^2\)h)/dt

= π(2r)(dr/dt)h + π\(r^2\)(dh/dt)

= π(2\(t^2\))(2t)(\(t^2\)) + π(\(t^4\))(2t)

= π(4\(t^4\))(2\(t^2\) + 2t)

= 8π\(t^6\) + 8π\(t^5\).

Therefore, the equation for the rate of change of the volume with respect to time is dV/dt = 8π\(t^6\) + 8π\(t^5\).

To determine the rate at which the x-component is changing at a specific moment, we need to differentiate the equation for the radius r with respect to time and evaluate it at that moment.

The equation for the radius is r = \(t^2\).

Differentiating this equation with respect to time, we have:

dr/dt = 2t.

So, at the specific moment, the rate of change of the x-component is given by dr/dt = 2t, where t represents the time in seconds.

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24  is the total number of different possible combination of seating arrangements for the group.

What is permutation and combination?

the total number of different possible seating arrangements for the group

             =4x3x2x1 = 24

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Answer:

∠x = 50°

Step-by-step explanation:

∠ABQ = 180 - 90 - 40 = 50°  because all interior angles of a triangle add up to 180°.

∠x = ∠ABQ because they are corresponding angles.

∠x = 50°

Explanation

to know the total bill amount we need to add the tip to the total,so

Step 1

find the value of the tip

it means to find the tip amount you need multiply the bill by 0.23,hence

Step 2

finally , add the values to know the total restaurant bill including the tip amount

So, the answer is $138.3627.

I hope this helps you

The coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2 are x(t) = 2t - (1/3) and y(t) = -10t^2/3 + (10t/3) - (5/9).

To find the coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2, we need to use the vector form of the line and substitute in the given values of t.

First, let's recall the vector form of the line which is r(t) = a + tb where r(t) is the position vector of a point on the line, a is a point on the line, t is a scalar parameter, and b is the direction vector of the line. In this case, we are given the direction vector as (3,-5) and a point on the line as (2,0). So, the vector form of the line is r(t) = (2,0) + t(3,-5).

Now, we need to find the coordinate functions by replacing t with the given values in the parametrization r(t) = 6t - 1, 9t^2.

For the x-coordinate function, we have:

x(t) = 2 + 3t
x(t) = 2 + 3((6t - 1)/9)
x(t) = 2 + 2t - (1/3)

So, the x-coordinate function is x(t) = 2t - (1/3).

For the y-coordinate function, we have:

y(t) = 0 - 5t
y(t) = 0 - 5((6t - 1)/9)^2
y(t) = 0 - 10t^2/3 + (10t/3) - (5/9)

So, the y-coordinate function is y(t) = -10t^2/3 + (10t/3) - (5/9).

Therefore, the coordinate functions of the line parametrized by r(t) = 6t - 1, 9t^2 are x(t) = 2t - (1/3) and y(t) = -10t^2/3 + (10t/3) - (5/9).

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Answer:

140 degrees

Step-by-step explanation:

A straight line is 180 degrees and since we are given 40 degrees of that acute angle, we know that whatever the missing angle degree is, it cant be over 180 degrees or less than 40 degrees. So we take our full measure 180 and subtract 40 because that's what is given.

Answer:

-2(8x-5)

Step-by-step explanation:

Answer:

I think you meant -14x+18-11-2x+3=0

If that's the case then x= 5/8

Step-by-step explanation:

-16x+10=0

-16x= -10

x= -10/-16 = 5/8

In decimal form it is 0.625

The height of the waterfall is approximately 309 yards.

To find the height of the waterfall, we can use trigonometry. The given information states that the distance from the point to the waterfall is 1000 yards, and the angle from the ground to the top of the waterfall is 17 degrees.

We can use the tangent function, which relates the height (opposite side) to the distance (adjacent side) and the angle:

tan(angle) = height / distance

Substituting the given values:

tan(17 degrees) = height / 1000 yards

To isolate the height, we can multiply both sides of the equation by 1000:

1000 * tan(17 degrees) = height

Using a calculator, we can calculate the value of the tangent of 17 degrees:

tan(17 degrees) ≈ 0.309

Substituting this value:

1000 * 0.309 = height

Therefore, the height of the waterfall is approximately 309 yards.

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Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

Answer:

Cone

Step-by-step explanation:

A cone's cross sections are either a circle or a triangle

Answer: Bar graph

Step-by-step explanation:

You would use a bar graph because the researcher is using categorial data  so the best way to present this type of data are bar graph, pie charts and frequency tables. We wouldn't use a pie chart here because we are not comparing multiple things so a bar graph would be the best visual presentation.

Hope this helps:)

Using multiplication operation, we can say that 12 berries did levi eat.

According to the question

Grace ate 6 berries.

Levi at 2 times more berries than grace.

To find out the number of berries did levi eat, multiply the grace eaten berries with 2.

Here we can write the mathematical form

= 2 × 6

= 12

Therefore,

12 berries did levi eat.

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The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

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The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

Let's use the following notation:

P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.

P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.

P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.

We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:

P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)

We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').

P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')

= 0.254 * 0.05 + 0.7653 * 0.95

= 0.7352

Now we can substitute the values into Bayes' theorem:

P(TB|NEG) = 0.254 * 0.05 / 0.7352

= 0.01725

Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

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Answer: d=104

Step-by-step explanation: d/−8+37=24                                                               −1/8d+37-37=24-37                                                                                               (−1/8d)(8/-1)=(−13)(8/-1)                                                                                         -8/-8=-104/-1                                                                                                           1d/1=104/1                                                                                                           d=104                          

Answer:

it is A 432 cm.3

Step-by-step explanation:

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

We need to perform an independent samples t-test for the hypothesis testing.

Here are the hypotheses: Null Hypothesis : H0: u1 = u2

Alternative Hypothesis : H1: u1 ≠ u2

Where, u1 = mean of educational attainment for individuals who live in urban areas and are females

u2 = mean of educational attainment for individuals who live in rural areas and are males

There are three variables in this dataset: educ, urban, and female.

Educational achievement is a continuous variable and urban and female are binary variables.

Therefore, we need to perform an independent samples t-test for the hypothesis testing.

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