What are the coordinates of the outlier in this scatter plot?

A: (2, 1)
B: (4, 11)
C: (17, 11)
D: There is no outlier in this scatter plot.

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Answer:

I think it's B (or A?)

Step-by-step explanation:

For alternate interior, they are alternate interior angles

Then for 2, they are equal and congruent, but they are SUBSTITITUING the angle numbers to the equation.

pls brainliest if I'm right :D

The triangular area abc, from the graph on the market for gasoline represents, D. the deadweight loss (or excess burden) created by the tax.

The cost of market inefficiency, which happens when supply and demand are out of balance, is known as a deadweight loss. When supply and demand are out of equilibrium, a deadweight loss arises, which impairs the efficiency of the market.

Deadweight losses may result from price floors, such as minimum wage and living wage regulations, price ceilings like price controls and rent restrictions, and taxation. A society's resource distribution may also become inefficient with a decline in commerce.

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Answer:

5.1

Step-by-step explanation:

11.5 + 5.6 + 8.8 = 29.5

31 - 29.5 = 5.1

Answer:

I could be wrong but the coffee is 200 and the hot choclet is 266.666666667

Step-by-step explanation:

I used math and a calculator.

Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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Final answer for the given integral is: \(5x * e^x - 5 * e^x + C\), integrating by parts involves choosing a function to differentiate and another to integrate, using the formula to solve for the integral, and then simplifying the result with the constant of integration.

Given the integral ∫5x * e^x dx, we'll use integration by parts to solve it. Integration by parts is based on the product rule for differentiation and is given by the formula: \(∫u dv = uv - ∫v du.\)

First, we need to choose u and dv. In this case, we'll choose u = 5x and \(dv = e^x dx\). Now, we need to find du and v. Differentiating u, we get du = 5 dx, and integrating dv, we obtain\(v = e^x.\)

Using the integration by parts formula, we have:
\(∫5x * e^x dx = (5x) * (e^x) - ∫(e^x) * (5 dx)\)
Simplifying the integral, we get:
\(∫5x * e^x dx = 5x * e^x - 5∫e^x dx\)
Next, we integrate e^x dx, which is simply e^x. So, the integral becomes:
\(5x * e^x - 5 * e^x + C\)

Here, C represents the constant of integration. Thus, the final answer for the given integral is: \(5x * e^x - 5 * e^x + C\)

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The best estimate for the value of the instantaneous rate of change of V(t) at t = 2 seconds can be determined using option d) (V(2.01) - V(1.09))/(0.02). This estimate involves taking the difference in the volume values at two nearby time points (2.01 and 1.09 seconds) and dividing it by the difference in time (0.02 seconds).

To estimate the instantaneous rate of change of V(t) at t = 2 seconds, we need to calculate the difference in volume values at two nearby time points and divide it by the difference in time between those points. Option d) (V(2.01) - V(1.09))/(0.02) provides this calculation. By considering the volume values at t = 2.01 and t = 1.09 seconds, we obtain an estimate for the change in volume over a small time interval of 0.02 seconds. Dividing this change in volume by the time interval gives us the average rate of change of V(t) over that interval. As the time interval becomes smaller, this average rate of change becomes a better estimate for the instantaneous rate of change at t = 2 seconds. Therefore, option d) provides the best estimate for the value of the instantaneous rate of change of V(t) at t = 2.

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The value of the missing angles of the quadrilateral are:

a = 110°

b = 70°

c = 20°

Theorem sum of angles in a triangle states that they sum up to 180 degrees. Thus:

d = 180 - (78 + 32)

d = 70°

Similarly:

e = 180 - (78 + 32 + 18)

e = 20°

Sum of angles on a straight line is 180 degrees. Thus:

a = 180 - 70

a = 110°

We can see that e + b will be equal to 90 degrees because of the definition of right angles. Thus:

b = 90° - 20°

b = 70°

From sum of angles in a triangle as 180° is:

c = 180 - (90 + 70)

c = 20°

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Answer:

r>-9

Step-by-step explanation:

Answer:

-9 < r   OR  r > -9

Step-by-step explanation:

Divide both sides by -r. When you divide by a negative, the sign switches. So, -r is now r, and 9 is now -9, and the sign is switched:

-9 < r

Step-by-step explanation:

first: A function is when one x value only has one y value meaning its one to one. equations like y=x+7 and 5y=2x are functions while ones like x*6=y^6 are not. hope this helps :)

Answer:

3x+2

Step-by-step explanation:

2x-2+X+4

= 2x+X+4-2

= 3x+2

Answer:

10.5

Step-by-step explanation:

i=0.5

k=0.25

7x0.5=3.5

8x0.25=2

3.5+5+2= 10.5

10.5

To plot an image of your own choosing, you can follow these steps. First, create a list containing a set of ordered pairs that represent the points needed to create your image.

To create the image, you need to define the set of ordered pairs that form the outline of the desired shape. The points in the list should be ordered in a way that connects them together to form the shape. Including (0,0) at the beginning and end ensures that the last point connects back to the first point.

Once you have the list of ordered pairs, you can convert it into a matrix using the "HGMatrix" command. This step is necessary for plotting the image using the "Plotimage" command. The matrix, named "mylistmat," will represent the points in a format suitable for plotting.

Finally, using the "Plotimage" command, you can plot the image based on the points in "mylistmat." The command will take the ordered pairs and connect them together to create the desired image.

By following these steps, you can plot your own image using the specified list, matrix conversion, and image plotting commands.

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Answer:

c = √58

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Because we have a right triangle, we can use the Pythagorean Theorem to help us solve for missing side lengths:

7² + 3² = c²

49 + 9 = c²

58 = c²

c = √58

Answer: c = √58

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

x/(2 1/2) = 16/1

x/(5/2) = 16

Multiply both sides by 5/2.

x = 16 * 5/2

x = 80/2

x = 40

Answer: x = 40

Answer:

y=7.5x, y=60

Step-by-step explanation:

you have to consider x as the input and y as output

when input  x=2 the output  y=15  so it grew by 7.5 so we can say that y= 2*7.5

in general the equation is y= 7.5*x

when x=8 we will have y=7.5*8=60

There are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

The number of ways to man the two sides of the boat can be calculated using the combination formula, C(n,r). In this case, n = 8 (the total number of crew members) and r = 5 (the number of crew members needed to man the two sides of the boat). The equation to calculate the number of ways to man the two sides of the boat can be written as C(8,5).

C(8,5) = 8!/(5!*3!) = 56.

This means that there are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

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Answer:

49 students

Step-by-step explanation:

1) 203-7=196 (the 7 is the seven students)

2) 196/4=49 (the 196 is the number of students on the buses, but now you have to figure out how many were on each one)

3) 49 students were on each bus

Hope this helped.

Answer:

$93.36

Step-by-step explanation:

First subtract 40 from 100 to find how much of the total cost is left. Then multiply 60% or .6 by the total to get your answer. Hope this helps!

Answer:

$93.36

Step-by-step explanation:

Step-by-step explanation:

2(d-t)=4t +7

open the bracket

2d - 2t =4t +7

collect like terms

2d-7=4t +2t

2d-7=6t

divide both sides by 6

2d-t/6=6t/6

T=2d-t/6

Answer:

t = (2d-7)/6

Step-by-step explanation:

2(d – t) = 4t + 7

Distribute

2d-2t=4t+7

Add 2t to each side

2d-2t+2t=4t+2t+7

2d = 6t+7

Subtract 7 from each side

2d-7 = 6t

Divide by 6

(2d-7)/6 = t

Answer:

Concept:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

The values are given below as

The image below shows how to calculate the mean

By substituting values, we will have

Hence,

The mean = 10

To calculate the variance, we will use the formula below

Hence

The variance = 21

To calculate the standard deviation,

Hence,

The standard deviation is = 4.58

a. Using the TI-84 calculator, the probability that a container is underfilled is approximately 0.0013.

b. The probability that a container is not underfilled is approximately 0.9987.

c. The company will make a profit of $210 on this container after reprocessing and refilling.

a. Using a TI-84 calculator, the probability that a container is underfilled can be found by calculating the cumulative probability to the left of 10 units using the normal distribution with a mean of 10 units and a standard deviation of 0.2 units. This probability is approximately 0.0013.

b. The probability that a container is not underfilled is simply the complement of the probability found in part (a). Therefore, it is approximately 1 - 0.0013 = 0.9987.

c. When a container is initially underfilled and must be reprocessed, it incurs an additional cost of $10. Upon refilling, the container contains 10.60 units. To calculate the profit, we subtract the total cost from the selling price:

Profit = Selling Price - Total Cost

Selling Price = $230

Total Cost = Cost of fill (10.60 units * $20) + Reprocessing Cost ($10)

Profit = $230 - (10.60 * $20 + $10)

Profit = $230 - ($212 + $10)

Profit = $230 - $222

Profit = $8

Therefore, the company will make a profit of $8 on this container after reprocessing and refilling.

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Answer:

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The probability of getting an even number is 1/2 while the probability of getting a factor of 6 is 1/6

The probability of an even number

From the question, the sample space of the number cube is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of even numbers, x = 3

The probability of getting an even number is then calculated as

P(Even) = Number of even numbers/Sample size

This gives

P(Even) = 3/6 = 1/2

The probability of a factor of 6

From the question, the sample space of the number cube is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of factor of 6, x = 1

The probability of getting a factor of 6 is then calculated as

P(factor) = Number of factor of 6/Sample size

This gives

P(factor) = 1/6

Hence, the probability is 1/2 and 1/6

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Answer:

The answer: 8

Step-by-step explanation:

x-(x-(x-y³))

x=9 , y=1 —> 9 - (9-(9-1³)) —> 9 - (9-(8))—> 9 - ( 1) —> =8

Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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The magnitude of vector A of the following components AX and AY is 88.95m

In this question we will apply the pythagoras theorem which will be depicted as

\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)

where , R = resultant magnitude of vector

            AX and AY are the components of vector

As per the question

AX = 83m

AY = 32m

Putting the values in the equation (1) we get

                               \(R= \sqrt{83^{2} +32^{2} }\)

                               \(R =\sqrt{6889+1024}\)

                               \(R=\sqrt{7913}\\\)

                               R  =  88.95m

Thus the magnitude of vector A for the following components is 88.95m

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a) The exact circumference of the circle is given as follows: 20π yd.

b) The approximate circumference of the circle is given as follows: 62.8 yd.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for the circle in this problem is given as follows:

r = 10 yd.

Hence the circumference of the circle is given as follows:

C = 2π x 10

C = 20π yd.

For the approximation, we consider π = 3.14, hence:

C = 20 x 3.14

C = 62.8 yd.

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