Each row contains a relation defined by a set of ordered pairs. Indicate whether or not each relation is a function.

{(3,−2),(5,6),(3,10),(−4,5)}
{(7,8),(−4,5),(−3,−2),(−10,5)}
{(3,4),(−5,−8),(−6,−3),(−5,2)}
{(−16,2),(13,4),(16,2),(−10,−10)}

Thus, standard error for this sample of tissue cells infected in a laboratory treatment is 5.33.

The standard error (SE) is a measure of how much the sample mean deviates from the population mean. It is calculated as the standard deviation of the sample divided by the square root of the sample size.

In this case, the sample size is 225, the standard deviation is 80, and the mean is 350. Therefore, the standard error can be calculated as follows:

SE = 80 / √(225)
SE = 80 / 15
SE = 5.33

The standard error for this sample of tissue cells infected in a laboratory treatment is 5.33. This means that the sample mean of 350 is likely to be within 5.33 units of the population mean.

The smaller the standard error, the more precise the estimate of the population mean. In this case, the standard error is relatively small compared to the standard deviation, which suggests that the sample mean is a relatively accurate estimate of the population mean.

However, it is important to note that the standard error only provides information about the precision of the estimate, not its accuracy. Other factors, such as sampling bias or measurement error, could still affect the accuracy of the estimate.

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Any smooth curve connecting two points is called an arc. The correct option is c.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}\)

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

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By using the concept of population standard deviation and sample standard deviation, it can be inferred that

2nd and 4th option  is correct

What is standard deviation?

At first, it is important to know about variance.

Variance is the sum of the square of deviation from the mean.

On taking the square root of the variance, standard deviation is obtained.

Here, the cases are

1) Population standard deviation \((\sigma)\) is known

2) Population standard deviation \((\sigma)\) is unknown

3) Sample standard deviation (s) is known

4) Sample standard deviation (s) is unknown

Now,

Formula for z

z = \(\frac{x - \mu}{\sigma}\) , \(\mu\) is the population mean, \(\sigma\) is the population standard deviation

Formula for t

t = \(\frac{x - \mu}{s}\) ,  s is the sample standard deviation

So if  Population standard deviation \((\sigma)\) is known and Sample standard deviation (s) is unknown, z table is used

If Population standard deviation \((\sigma)\) is unknown and Sample standard deviation (s) is known, t table is used

So 2nd and 4th option is correct

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Complete Question

The complete Question has been attached here

To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."

A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.

Some key features regarding the survey are-

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Answer:

If Frank is planting b seeds in one and 5b + 10 in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.

brainliest?

Answer:

=======================

Let the speed of plane is x and speed of the wind is y.

The speed of the plane with the wind is x + y and speed of the plane against the wind is x - y.

Equation for speed:

Since the same amount of time spent in both cases, we can set equations:

Add up the two equations and solve for x:

Find y:

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

The amount of yoghurt that Karolina used when making 800 ml of salad is 300 ml.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A salad dressing is made by mixing yoghurt and mayonnaise in the ratio

3:5. For 800 ml of salad:

Amount of yoghurt = (3 / (3 + 5)) * 800 ml = 300 ml

The amount of yoghurt that Karolina used when making 800 ml of salad is 300 ml.

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The frequency distribution of lottery winners of age between 19 and 40 is 7, and 3.32% of lottery winners are 70 years or older.

To find the frequency of lottery winners of age between 19 and 40, we need to add the frequencies of the age groups [20,29] and [30,39].

Frequency of lottery winners between 20 and 29 years old = 2

Frequency of lottery winners between 30 and 39 years old = 5

Frequency of lottery winners between 19 and 40 years old = 2 + 5 = 7

Therefore, the frequency of lottery winners of age between 19 and 40 is 7.

To find the percentage of lottery winners who are 70 years or older, we can use the cumulative relative frequency. We know that the cumulative relative frequency for the age group [70,79] is 0.9668, which means that 96.68% of the lottery winners are 70 years old or younger. Therefore, the percentage of lottery winners who are 70 years or older is:

100% - 96.68% = 3.32%

So, 3.32% of lottery winners are 70 years or older.

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Given statement solution is :- The length of segment QP is 8.

To solve for x, we can use the fact that the sum of the lengths of two segments in a straight line is equal to the length of the entire line segment. In this case, we have:

QR + RS = QS

Substituting the given values:

3 + 8 = QS

QS = 11

Now, let's consider the line segment PT. We know that PT = QS + ST. Substituting the given values:

8 = 11 + ST

ST = -3

Finally, to solve for x, we need to find the length of segment QP. We can use the fact that QP = QR + RS + ST. Substituting the known values:

QP = 3 + 8 + (-3)

QP = 8

Therefore, the length of segment QP is 8.

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The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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Answer:

greater than

hope this helps! <3

Checkpoint 4 will be higher than Checkpoint 3 by 108.

In our question, it is given that the Checkpoint 4 value is -99 and the Checkpoint 3 value is -207.

We will use Subtraction. What is Subtraction?

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller. For instance, your friends consumed 7 of the 9 cupcakes you purchased for your birthday party. You are now down to two cupcakes. This can be expressed as a subtraction formula: 9 - 7 = 2, which means "nine less seven equals two." The result of subtracting 7 from 9 is 2, or (9 - 7) Here, we divided two numbers, 9, and 7, by one another to get the difference of 2.

Subtracting the value of Checkpoint 3 from Checkpoint 4, we get:

Checkpoint  - Checkpoint 3 = -207 -(-99)

= -207 + 99 = 108.

Therefore Checkpoint 4 will be higher than Checkpoint 3 by 108.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

300

Step-by-step explanation:

2+3+1=6

1800=6 parts

1 part=1800/6=300

The smallest share among the three brothers is 300 birrs.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,

Let the amount they hold be 2x, 3x and x

Therefore, 2x+3x+x = 1800

6x = 1800

x = 300

Hence, The smallest share among the three brothers is 300 birrs.

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If the high temperature on Friday is equal to this week's average daily high temperature, the option that could be Friday's high temperature is: C. -12°.

Using this formula to find the high temperature

High temperature= Last week average daily high temperature + ( -This week average daily high temperature)

Let plug in the formula

High temperature = 12° + (-24°)

High temperature= -12°

Therefore the correct option is C.

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The formula for a line segment is:

segment = √((x2 - x1)^2 + (y2 - y1)^2)

1. Calculate the difference between the x-coordinates: x2 - x1

2. Square the result of step 1: (x2 - x1)^2

3. Calculate the difference between the y-coordinates: y2 - y1

4. Square the result of step 3: (y2 - y1)^2

5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2

6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)

This final result is the length of the line segment.

The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.

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When Samantha was streaming "The Haunted Cave" the cellphone went from a level of battery charge of 76% to 16%. We need to calculate the rate at which the battery of the phone is drained while streaming this show. She watched three episodes of the show, each with 30 minutes. So the first step is to calculate the time she spent streaming it. Since she watched 3 episodes of 30 minutes each, the total time is the product between the number of episodes and the elapsed time.

Then we need to calculate how much of the battery was spent on that time. This is the difference between the charge when she started and the charge when she finished.

Now we can calculate the rate at which her battery is drained while watching that show, this is done by dividing the total battery spent by the elapsed time.

This rate means that for every minute watching this show she spends 2/3 of a % of battery.

She then charged the battery to 63% and went on a 24 minute bus ride while listening to Top Pop, this resulted on her battery dropping all the way to 59%. We need to do the same as above to find how much batter per minute this playlist consumes. We have:

The playlist spent 4% in 24 minutes, so the rate is:

While listening to Top Pop the cellphone discharges at a rate of 1/6 of a % per minute.

When she was on the bus home with her friend her battery was at a level of 29%, while his was at 55%. He then went to watch the haunted show, while she went to listen Play Top. If the rate is the same as we calculated above, then the level of battery of each person can be calculated by the starting level subtracted by the rate at which each app consumes the battery multiplied by the time they are using the app. So for each person we have:

To find the time it will take before the level of battery is the same on each device we need to make both equations equal and solve for t.

For both phones to achieve the same level of battery they'll need to use it for 78 minutes.

The result of executing the given code is (B) an array of 6 values, ranging from 0 through 5, will be created and referenced by the variable x.

The code `int[] x = {0, 1, 2, 3, 4, 5};` is initializing an array of integers named `x`. The values inside the curly braces represent the elements of the array. In this case, the values are 0, 1, 2, 3, 4, and 5.

Option (A) is incorrect because the values in the array are not all initialized to 0. Instead, each value corresponds to its respective position in the array.

Option (C) is also incorrect because the variable `x` does not directly store the values 0 through 5. Instead, `x` is a reference to the array that contains those values.

Option (D) is not applicable as the code provided is syntactically correct and will not result in a compiler error.

Therefore, the correct answer is (B) - an array of 6 values, ranging from 0 through 5, will be created and referenced by the variable `x`.

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The probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 55%.

If 45% of Americans say they believe that statistics teachers know the true meaning of life, then 55% of Americans do not believe this. Therefore, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 55%.

Percentage is referred to as the expression in which the number is written as multiple of 100 and the symbol to show percentage of a number is %. Now we need to express the value in percentage.

Expressing this as a percentage, we have:

55% = 55/100 * 100% = 0.55 * 100% = 55%

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Answer:

225 centimeters^2

Step-by-step explanation:

SO just split the shape

Calcualte

11*14+9*9

154+81=225

Answer:

19

Step-by-step explanation:

9+10 is 19

Brainliest pls

19

(Now if its the meme its 21)

Answer:   The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

Step-by-step explanation:

The equation y = 2x - 4 is written in slope intercept form.   y is dependent on the x.

Answer:

Step-by-step explanation:

answer A

The perimeter of the triangle will be 37.5 units. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The sum of all the sides of the triangle will be known as the perimeter of the triangle.

From the graph, the coordinate of a triangle will be (-8, 7), (6, 3), and (2, -4).

Then the perimeter of the triangle will be given as,

\(\rm P = \sqrt{(6 + 8)^2+(3 - 7)^2} + \sqrt{(2 - 6)^2+(-4 - 3)^2} + \sqrt{(2 + 8)^2+(-4-7)^2}\\\\P = \sqrt{212} + \sqrt{65} + \sqrt{221}\)

Simplify the equation, then we have

P = 14.56 + 8.06 + 14.87

P = 37.49 ≈ 37.5 units

The perimeter of the triangle will be 37.5 units. Then the correct option is C.

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A linear-quadratic state estimator and a particle filter are both estimation techniques used in control systems, but they differ in their underlying principles and application domains.

A linear-quadratic state estimator, often referred to as a Kalman filter, is a widely used optimal estimation algorithm for linear systems with Gaussian noise. It assumes linearity in the system dynamics and measurements. The Kalman filter combines the predictions from a mathematical model (state equation) and the available measurements to estimate the current state of the system. It provides a closed-form solution and is computationally efficient. However, it relies on linear assumptions and Gaussian noise, which may limit its effectiveness in nonlinear or non-Gaussian scenarios.

On the other hand, a particle filter, also known as a sequential Monte Carlo method, is a non-linear and non-Gaussian state estimation technique. It employs a set of particles (samples) to represent the posterior distribution of the system state. The particles are propagated through the system dynamics and updated using measurement information. The particle filter provides an approximation of the posterior distribution, allowing it to handle non-linearities and non-Gaussian noise. However, it is computationally more demanding than the Kalman filter due to the need for particle resampling and propagation.

The choice between a linear-quadratic state estimator and a particle filter depends on the characteristics of the system and the nature of the noise. The Kalman filter is suitable for linear and Gaussian systems, while the particle filter is more versatile and can handle non-linearities and non-Gaussian noise. However, the particle filter's computational complexity may be a limiting factor in real-time applications.

In summary, a linear-quadratic state estimator (Kalman filter) is a computationally efficient estimation technique suitable for linear and Gaussian systems. A particle filter, on the other hand, provides more flexibility by accommodating non-linearities and non-Gaussian noise but requires more computational resources. The choice between these methods depends on the specific system characteristics and the desired accuracy-performance trade-off.

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The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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The number of children are there in the given scenario are 400.

Given that, the ratio of children to adults on a school trip is initially 10:1.

Here, the given ratio can be written as 10x:1x

5 more children and 5 more adults join the trip so that the ratio is now 9:1

10x+5:1x+5

The new ratio is (10x+5)/(x+5) = 9/1

10x+5=9(x+5)

10x+5=9x+45

10x-9x=45-5

x=40

So, the number of children =10x=400

Therefore, the number of children are there in the given scenario are 400.

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Answer:

k = -11

Step-by-step explanation:

Let \(p(x) = x^3-6x^2+kx+10\)

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = \((-2)^3-6(-2)^2+k(-2)+10\)

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11