Find the center of a circle whose end points of a diameter are A (-5,6) and B (3,4)
pls answer fast

D(t)= 6sin (pi/5t) + 10

General form:

y = A sin (Bx +C) +D

Where:

A = amplitude

D= vertical shift

C = phase shift B= period

For the given function:

Amplitude = 6

Phase shift = 10

The bottom graphs are Cosine functions, so they are not.

Among the top ones, The first one has an amplitude of 6 and the second one has an amplitude of 3 .

Correct answer:

The assumption of a finite population is the answer to the question of which condition/assumption is not required for the one-sample t inference for the mean μ of a population.

The one-sample t inference for the mean μ of a population is based on several conditions and assumptions. Let's discuss each of them and identify which one is not a condition or assumption.

Random Sampling: One of the key assumptions is that the data used for the inference is obtained from a random sample. Random sampling ensures that the observations are independent and representative of the population.

Normality: The t inference assumes that the population follows a normal distribution. This assumption is necessary to apply the t-distribution for inference. However, for large sample sizes (typically above 30), the t-inference is robust to deviations from normality due to the Central Limit Theorem.

Independence: The observations in the sample should be independent of each other. This assumption ensures that each observation provides new information and is not influenced by other observations.

Finite Population: The t-inference assumes that the population from which the sample is drawn is finite. This assumption is relevant when the sample size is a large fraction of the population size. If the population is infinite or extremely large, this assumption is not necessary.

Homogeneity of Variance: The t-inference assumes that the variance of the population is the same across all levels of the independent variable. This assumption is known as homogeneity of variance. Violation of this assumption can lead to inaccurate results.

Based on these conditions and assumptions, it can be concluded that the assumption of a finite population is not a condition of the one-sample t inference for the mean μ. The assumption of a finite population is relevant only when the population size is small or the sample size is a large fraction of the population size. In most practical scenarios, where the population size is large or infinite, this assumption is not applicable.

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Answer:

y = 3x-10

Step-by-step explanation:

When lines are parallel, they have the same slope

y = 3x+2 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

y = 3x+b

We have a point on the line

-1 = 3(3)+b

-1 = 9+b

-10 = b

y = 3x-10

y+2=-3x+12

 -2        -2

y=-3x+10

This is as far as it can be simplified.

---

hope it helps

Answer: y = - 3x + 10

Step-by-step explanation:  

Step 1: Flip the equation : −3x+12=y+2

Step 2: Add -12 to both sides : − 3 x + 12 + − 12 = y + 2 + -12

A procedure for determining the connections between two variables is referred to as correlation. You discovered that plotting two variables on a "scatter plot" can help you determine whether or not they are generally connected. Correlation is the most widely applied strategy even though there are other measures of association for variables measured at the ordinal or higher level of measurement. The question is asking about the correlation of a set of data after each x value is multiplied by 2.

To find the correlation for the resulting data, you can follow these steps:

1. Multiply each x value by 2.
2. Calculate the correlation coefficient for the new set of x and y values.

Given that the original set of x and y values has a Pearson correlation of r = 0.10, multiplying each x value by 2 does not change the correlation coefficient.

Therefore, the correlation for the resulting data is still r = 0.10.

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The option A is correct which is along y = x, the expression approaches 3 as x approaches 1.

What is limit function?

The behaviour of the function near a certain input is a fundamental calculus and analytic idea.

As the given limit function is,

Lim(x, y) → (1,1)  (xy²-1)/(y-1)

As per data given,

Along y = x,

Substitute values respectively in limit function,

= Lim(x) → (1) (x³-1)/(x-1)

= Lim(x) → (1) {(x-1) (x² + x + 1)} /(x-1)

= Lim(x) → (1) (x² + x + 1)

= 1² + 1 + 1

= 3

Hence, the option A is correct which is along y = x, the expression approaches 3 as x approaches 1

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Complete question is,

Show that the limit does not exists.

Lim(x, y) → (1,1)  (xy²-1)/(y-1)

Now observe along the line y = x. Describe the behaviour of the expression as x approaches.

the equations for the osculating, normal, and rectifying planes at t = -π/3 are: Osculating plane: -x + √3y + 2√3 = 0, Normal plane: √3x - y - 2√3 = 0 and Rectifying plane: x + √3y - 2 = 0

To find r(-π/3), we substitute t = -π/3 into the given vector equation:

r(-π/3) = (cos(-π/3))i + (sin(-π/3))j - k

= (1/2)(i - √3j) - k

= (1/2)i - (√3/2)j - k

To find r'(t), we take the derivative of r(t) with respect to t:

r'(t) = (-sin t)i + (cos t)j + 0k

= (-sin t)i + (cos t)j

To find r''(t), we take the derivative of r'(t) with respect to t:

r''(t) = (-cos t)i - (sin t)j + 0k

= (-cos t)i - (sin t)j

We can now find the unit tangent vector T(t) by dividing r'(t) by its magnitude:

| r'(t) | = √(sin^2 t + cos^2 t) = 1

T(t) = r'(t)/| r'(t) |

= (-sin t)i + (cos t)j

To find the unit normal vector N(t), we divide r''(t) by its magnitude:

| r''(t) | = √(cos^2 t + sin^2 t) = 1

N(t) = r''(t)/| r''(t) |

= (-cos t)i - (sin t)j

Finally, we can find the binormal vector B(t) by taking the cross product of T(t) and N(t):

B(t) = T(t) × N(t)

= (-sin t)i + (cos t)j × (-cos t)i - (sin t)j

= -cos t k

At t = -π/3, we have:

r(-π/3) = (1/2)i - (√3/2)j - k

T(-π/3) = (1/2)i + (√3/2)j

N(-π/3) = (-√3/2)i + (1/2)j

B(-π/3) = -1/2 k

To find the equations for the osculating, normal, and rectifying planes, we use the following formulas:

Osculating plane: (r - r(t)) · r'(t) = 0

Normal plane: (r - r(t)) · r''(t) = 0

Rectifying plane: T(t) · (r - r(t)) = 0

Substituting the values of r(-π/3), r'(t), and r''(t), we get:

Osculating plane: (x - 1/2)(-1/2) + (y + √3/2)(√3/2) + (z + 1)(0) = 0

-x/4 + √3y/4 + √3/2 = 0

-x + √3y + 2√3 = 0

Rectifying plane: (1/2)(x - 1/2) + (√3/2)(y + √3/2) + (0)(z + 1) = 0

x/2 + √3y/2 - 1 = 0

x + √3y - 2 = 0

Therefore, the equations for the osculating, normal, and rectifying planes at t = -π/3 are:

Osculating plane: -x + √3y + 2√3 = 0

Normal plane: √3x - y - 2√3 = 0

Rectifying plane: x + √3y - 2 = 0

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The function that satisfies the differential equation y′ = -2 with initial condition y(0) = -8 is y = -2x - 8.

To solve the differential equation y′ = -2 with initial condition y(0) = -8, we need to find the function y(x) that satisfies both the differential equation and the initial condition.

We can start by integrating both sides of the differential equation with respect to x:

∫y′ dx = ∫(-2) dx

y = -2x + C

where C is a constant of integration.

To find the value of C, we can use the initial condition y(0) = -8:

y(0) = -2(0) + C = C = -8

So the solution to the differential equation with initial condition is:

y = -2x - 8

Therefore, the function that satisfies the differential equation y′ = -2 with initial condition y(0) = -8 is y = -2x - 8.

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The answer is option b. confidence coefficient.

To explain this, let's start by defining interval estimation. Interval estimation is a statistical method used to estimate an unknown population parameter (such as the population mean or proportion) by constructing a range of values, called a confidence interval, that contains the true value of the parameter with a certain level of confidence.

The level of confidence refers to the percentage of times that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated. For example, a 95% confidence level means that if we were to repeat the interval estimation procedure many times, we can expect to obtain a confidence interval that contains the true population parameter 95% of the time.

The confidence coefficient, on the other hand, is the probability that a particular confidence interval actually contains the true value of the population parameter. It is the complement of the significance level, which is the probability of making a Type I error (rejecting a true null hypothesis). For example, if we have a 95% confidence level, then the confidence coefficient is 0.95, and the significance level is 0.05.

Therefore, the confidence coefficient represents the probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated. It is a measure of how confident we are that the estimated interval contains the true population parameter.

In conclusion, the confidence coefficient is a crucial concept in interval estimation that reflects the probability of obtaining a confidence interval that includes the true population parameter. It provides a measure of the reliability and accuracy of the interval estimation procedure and helps researchers interpret the results of their analyses.

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Answer:I believe the answer is D. for many people worked in the rough environments of factories in that day and age. People wanted others to see, (who didn't know of the experiences one went through in the factories) what the factory workers had to go through, especially on such a low pay grade.

Step-by-step explanation:

12/44 = 4 × 3 / 4 × 11 = 3/11

_____________________

Thus 12/44 is less than 8/11

Answer:

IT IS LESS THAN 8/11

12/44 < 32/44

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Given:

Find: interval notation of the given number line.

Explanation:

is the interval notation for the given number line.

Answer:

17.5

Step-by-step explanation:

The equation of the tangent line to the curve at the given point in the interval [π/8,π/16] is y = -√2x + 3π/32.

To find an equation of the tangent line to the curve ysin(8x) = xcos(8y) at the point (π/8,π/16) in the given interval [π/8,π/16], we use implicit differentiation as follows:

Taking the derivative of both sides with respect to x, we get:

d/dx [ysin(8x)] = d/dx [xcos(8y)]

y * d/dx [sin(8x)] + sin(8x) * d/dx [y] = cos(8y) * d/dx [x] + x * d/dx [cos(8y)]

y * 8cos(8x) * dx/dx + sin(8x) * dy/dx = -8xsin(8y) * dy/dx + cos(8y) * dx/dx

Simplifying, we get:

8ycos(8x) + sin(8x)dy/dx = -8xsin(8y)dy/dx + cos(8y)

Grouping the terms involving dy/dx on one side, we get:

(8ycos(8x) + cos(8y))dy/dx = cos(8y) - 8xsin(8y)sin(8x)

Dividing both sides by 8ycos(8x) + cos(8y), we get:

dy/dx = (cos(8y) - 8xsin(8y)sin(8x)) / (8ycos(8x) + cos(8y))

Substituting the values of x and y for the given point (π/8,π/16), we get:

dy/dx = (cos(π/2) - 8(π/8)sin(π/2)sin(π/4)) / (8(π/16)cos(π/4) + cos(π/2))

Simplifying, we get:

dy/dx = (0 - 2π/√2) / (2π/√2 + 0)

dy/dx = -√2

Therefore, the equation of the tangent line to the curve ysin(8x) = xcos(8y) at the point (π/8,π/16) is:

y - π/16 = -√2(x - π/8)

Simplifying, we get:

y = -√2x + 3π/32

This is the equation of the tangent line to the curve at the given point in the interval [π/8,π/16].

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Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{6.6+x}\\ a=\stackrel{adjacent}{6.6}\\ o=\stackrel{opposite}{8.8} \end{cases} \\\\\\ (6.6+x)^2= (6.6)^2 + (8.8)^2\implies (6.6+x)^2=121\implies (6.6+x)^2=11^2 \\\\\\ 6.6+x=11\implies x=4.4\)

Probabilities are used to determine the chances of an event. Here, we want to calculate the chances of selecting a junior student. The probability of selecting a junior is 0.44.

From the table, we have:

\(Junior = 60\)

\(Total = 137\)

So, the probability of Junior is

\(P(Junior) = \frac{Junior}{Total}\)

This gives:

\(P(Junior) = \frac{60}{137}\)

\(P(Junior) = 0.437\)

Approximate

\(P(Junior) = 0.44\)

Hence, the probability of selecting a junior is 0.44

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Answer:

0.44

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The red markings is not clear but I think the larger one is triangle DEF, if not, then the answer is 2

Answer:

1/2

Step-by-step explanation:

The dude above said if the big triangle is not DEF then it's two, but the big triangle is DEF therefore it is: 1/2.

The theoretical probability of an event occurring is determined by the number of favorable outcomes divided by the total number of possible outcomes.

In this case, we need to find the probability of landing on the yellow section of the spinner. To determine the probability of landing on yellow, we need to know the number of yellow sections on the spinner and the total number of sections on the spinner.

Let's consider a hypothetical scenario where the spinner has 6 sections in total, and one of them is yellow. In this case, there is one favourable outcome (yellow) out of six possible outcomes (all the sections on the spinner). Therefore, the probability of landing on yellow would be 1/6 or approximately 0.1667.

The actual probability of landing on yellow may differ based on the specific spinner being referred to in the question. It is important to have complete information about the spinner to accurately calculate the probability.

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The theoretical probability of landing on yellow is 1/4 or 25%. This means that if the spinner is spun many times, we can expect it to land on yellow approximately 25% of the time.

The theoretical probability of landing on yellow on the spinner can be determined by dividing the number of favorable outcomes (yellow sections on the spinner) by the total number of possible outcomes (total sections on the spinner).
To find the probability of landing on yellow, we need to count the number of yellow sections on the spinner and divide it by the total number of sections.
Let's assume that the spinner has 8 sections in total, and only 2 of those sections are yellow.
The probability of landing on yellow can be calculated as follows:
Number of yellow sections: 2
Total number of sections: 8
P(yellow) = Number of yellow sections / Total number of sections
P(yellow) = 2 / 8
Simplifying the fraction:
P(yellow) = 1 / 4

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Answer:

A linear relationship is a relationship with a constant rate of change represented by a graph that forms a straight line that passes through the origin (0, 0) and is represented by y = kx. The rate of change is either positive, negative, zero, or undefined.

Step-by-step explanation:

Answer:

It is not a function because there is a maximum.

Step-by-step explanation:

With 12 as the maximum it will not go on forever and functions do.

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Answer:

1 / 24, or 4.16667%

Step-by-step explanation:

To find the probability of both events happening you first need to calculate the probability of each event, then multiply them together.

The blue section is 1 of 4 total sections, meaning the probability is \frac{1}{4}

A six sided die has 1 of 6 possible outcomes, or \frac{1}{6}

\(\frac{1}{4} * \frac{1}{6} = \frac{1}{24}\)

The velocity of the train is given as follows:

v = 31.2 km/h.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

Considering the distance of 480 km, the equation is given as follows:

v = 480/t.

With a velocity of 10 km/h more, the time would be 4 hours less, hence:

v + 10 = 480/(t - 4)

Hence the time is obtained as follows:

480/t + 10 = 480/(t - 4)

(480 + 10t)/t = 480/(t - 4)

10t² + 440t - 1760 = 480t

10t² - 40t - 1760 = 0

t² - 4t - 176 = 0.

Using a quadratic function calculator, the positive root is given as follows:

t = 15.4 hours

Hence the velocity is given as follows:

v = 480/15.4

v = 31.2 km/h.

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Answer:

x < -4

Step-by-step explanation:

Step 1: Write inequality

(x - 7) > 2x - 3

Step 2: Solve for x

Here we see that any number smaller than -4 would work as a solution.

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

24 im new im learning english sorry

Step-by-step explanation: