In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog? ( NO LINKS ) ​

Answer:

Step-by-step explanation:

A. We must consider that Marisa is walking a straight trail so that the time required to cover a distance is persistent or constant.

B. The slope of the line is: y = m x + b

Where in this problem, y is the distance, m is the slope or the time it takes for each block, x is the time, and b would be the y intercept or the initial location of Marisa.

C. The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (8 – 12) / (6 – 0)

m = -0.67

The negative sign is the space between Marisa and Sanjay’s home is declining by time. It further means that there is a cut in 0.67 blocks per minute.

D. y = - 0.67 x + b

The starting point of Marisa is at 12 blocks away from Sanjay’s home, therefore let b be 12.

Finding for time when distance is y = 0:

0 = -0.67 x + 12

x = 17.9 minutes

Therefore it takes approximately 17.9 minutes to go to Sanjay’s home.

Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

Let x(l) be a band-limited signal with absolute bandwidth B Hz. For each of the signals below, we need to determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B.

a) x(0) + x(t - 1)dx(t)dt:For this signal, let us apply the Fourier transform. The Fourier transform of the first term is 2πX(ω)δ(ω), and that of the second term is e^(-jω)X(ω).

Thus, X(ω) = 2πX(ω)δ(ω) + e^(-jω)X(ω)On rearranging this expression, we get: X(ω) = [1 / (1 - 2πδ(ω))]e^(-jω)Therefore, the signal is not absolutely band-limited because it has components at all frequencies.

Hence, the Nyquist sampling rate cannot be determined.b) x:For this signal, let us consider its Fourier transform. Its Fourier transform will be a scaled version of the Dirac comb function, centered at ω = 0, with a spacing of 2π. Hence, X(ω) = 2πBδ(ω).

The signal is absolutely band-limited with absolute bandwidth B Hz, and hence, the Nyquist sampling rate will be 2B. The Nyquist sampling rate is twice the absolute bandwidth, and so, the sampling rate for this signal will be 2B Hz.

Thus, the answer to the question is as follows:Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

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Answer:

abcdef

Step-by-step explanation:

We need to first identify the center of the circle.

We see that the coordinate point of the center of the circle is (-1, -2).

The equation of a circle is given with the equation

where h is x, k is y, and r is the radius of the circle.

Therefore, we can plug in the coordinates first to find the h and k of the equation.

Then, we need to determine r.

The circle intersects points (-6, -2) and (4, -2). We can simply subtract the x-coordinates from each other to find the diameter of the circle.

Finally, we know the radius is half of the diameter:

We can plug in the radius into the equation.

Therefore, our final equation is Choice D:

Answer:

x < -3

Step-by-step explanation:

its correct that the answer.

Step-by-step explanation:

<:

The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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If the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1) then the correct translation be

(x-5,y+3).

Given a figure in which the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1).

We are required to find the correct translation of figure from ABC to \(A^{I} B^{I} C^{I}\).

Translation is basically the displacement of a figure or a shape from one place to another.

To reach the coordinates of A to \(A^{I}\), we need to subtract 5 from 2  and add 3 to 3.

To reach the coordinates of B to \(B^{I}\), we need to subtract 5 from 2  and add 3 to -2.

To reach the coordinates of C to \(C^{I}\), we need to subtract 5 from -1  and add 3 to -4.

Hence if the coordinates of A be (2,3) coordinates of B be (2,-2) , coordinates of C be (-1,-4) coordinates of \(A^{I}\) be (-3,6) coordinates of \(B^{I}\) be (-3,1) and coordinates of \(C^{I}\) be (-6,-1) then the correct translation be

(x-5,y+3).

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Answer:

10° C

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

The Nia's average daily balance in this billing cycle was equals to the $432.85. So, correct choice is option(D).

Nia wants to check whether the finance charge applied in her credit card statement is correct or not. For this she made a table to do this calculation. The billing cycle is 31 days is present in above figure. We have to calculate the Nia's average daily balance in billing. Average daily balance of Nid is represented by:

Average mean = (Days x Balance)/Total Number of days

So, Days × balance = (745.0 x 7) + (1555. 15 × 10) + (245.20 × 7) + (90.75 × 7)

= 5215 + 5851.5 +1716.4 + 635.25

= $13418.15

Total number of days = 7+ 10 + 7 + 7 = 31 days

Hence, the Average = 13418.15/31

= $432.84

Hence, required average daily balance is $432.84.

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The total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

Combinations in probability theory and other areas of mathematics refer to a sequence of outcomes where the order does not matter.

For example, when you're ordering a pizza, it doesn't matter whether you order it with ham, mushrooms, and olives or olives, mushrooms, and ham.

Total number of pizzas that are possible between zero and ten toppings is calculated as follows;

p = 2¹⁰ = 1024 pizzas

Thus, the total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

Getting the right answer

Step-by-step explanation:

It really depends on what the teacher says but it's more important for you to understand the actual process, else you wouldn't be able to get the answers if you don't understand the process.

If you the right process in maths, you will get the correct answer, therefore, maths classes tend to focus more on understanding the process.

In mathematics, when solving a problem, it usually involves processes and steps before you can arrive at the right answer.

Some of the processes and steps cannot be jumped if one must get the final answer correctly. This is why in maths classes, the maths teacher takes you through these processes.

Also, when awarding marks to questions that are theory, there are marks allotted to each step or process involved in solving a problem. If you provide just the final answer without showing the process you followed to arrive at the final answer, you will lose mark.

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3561.5 cm² is the surface area of the cereal box.

To find the total surface area of the cereal box, we need to find the area of all six faces and add them together.

The cereal box has dimensions of 44.5 cm x 28.5 cm x 7 cm.

The area of the top and bottom faces is:

44.5 cm x 28.5 cm = 1269.75 cm²

The area of the front and back faces is:

44.5 cm x 7 cm = 311.5 cm²

The area of the left and right faces is:

28.5 cm x 7 cm = 199.5 cm²

Adding up the areas of all six faces, we get:

1269.75 cm² + 1269.75 cm² + 311.5 cm² + 311.5 cm² + 199.5 cm² + 199.5 cm²

= 3561.5 cm²

Therefore, the total surface area of the cereal box is 3561.5 square centimeters.

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Complete question:

Given that a wine taster claims that she can distinguish four vintages of a particular Cabernet. A vintage is a term used for the year a wine was produced in the context of wine. In simpler terms, the year in which the grapes were grown is known as a vintage.

The wine taster claims that she can distinguish four vintages of a particular Cabernet. What is the probability that she can do this by merely guessing?

Answer: Given that a wine taster claims that she can distinguish four vintages of a particular Cabernet. A vintage is a term used for the year a wine was produced in the context of wine. In simpler terms, the year in which the grapes were grown is known as a vintage. These grapes are then processed, fermented, and aged in oak barrels to produce wine. Each vintage year has a distinct taste profile that distinguishes it from others. The Cabernet Sauvignon is a red wine grape variety that is known for producing red wine. The wine taster claims that she can distinguish four vintages of a particular Cabernet. Since she has four distinct vintages of Cabernet to choose from, her probability of getting a correct guess on the first attempt is 1/4. The probability of guessing the correct vintage again is 1/4. Following the same logic, the probability of guessing the correct vintage four times in a row is 1/4 raised to the power of four.

P(A) = 1/4 × 1/4 × 1/4 × 1/4. Therefore, the probability of her guessing correctly on all four attempts is (1/4)4. Which is equal to 1/256. This means that if the wine taster were to guess on her own, her chances of correctly identifying all four vintages would be 1/256, or approximately 0.4 percent. If a wine taster is claiming that she can distinguish between four distinct vintages of Cabernet, we need to determine if it is possible for her to do so simply by guessing. A vintage is defined as the year in which grapes are harvested to make wine. In the context of wine, each vintage year has a unique flavor profile that distinguishes it from other vintages. Cabernet Sauvignon is a well-known red wine grape variety that is commonly used to make red wine.

The wine taster claims that she can distinguish four vintages of Cabernet, which means she has four choices to select from when tasting. The probability of the wine taster guessing the correct vintage on the first try is 1/4, since she has four distinct options to choose from. Similarly, the probability of the taster guessing the correct vintage a second time is also 1/4, and the same applies to the third and fourth times.The probability of the taster guessing the correct vintage all four times in a row is (1/4)4 or 1/256. This means that if the wine taster were to guess on her own, her chances of correctly identifying all four vintages would be 1/256, or approximately 0.4 percent. As a result, if the wine taster claims to have correctly identified all four vintages, it is unlikely that she did so by merely guessing.

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Answer:

Graph D is the correct answer.

Answer:

Notation Rule A notation rule has the following form ry−axisA → B = ry−axis(x,y) → (−x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1. Reflection A reflection is an example of a transformation that flips each point of a shape over the same line.

Step-by-step explanation:

Answer:

When you reflect, the y-coordinate remains the same, but the x-coordinate us transformed into the opposite (flip signs)

Answer:

she can buy 70 ft tape

Step-by-step explanation:

5.6 ÷ 0.07

Answer:

(-4, -1, 2)

Step-by-step explanation:

Substituting x=4y into the second and third equation gives 3y+3z=3, meaning y+z=1, and 5y-z=-7.

Adding these two equations gives 6y=-6, and thus y=-1.

Thus, z=2 and x=-4.

The solution of the given system of equations are; (-4, -1, 2)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given system of equations;

x = 4y

x - y + 3x = 3

2x - 3y - z = -7

Now, Substituting x = 4y into the second and third equation;

3y + 3z = 3,

y + z = 1, and 5y - z = -7.

Then Adding these two equations;

6y =-6,

thus y=-1.

Therefore, z=2 and x=-4.

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Given statement solution is :- Nathan's purple paint has a higher percentage of red paint (47.37%) compared to Samantha's purple paint (42.86%). Therefore, Nathan's purple paint will be redder.

To determine whose purple paint will be redder, we need to compare the percentage of red paint in Nathan's and Samantha's mixtures.

Let's calculate the percentage of red paint in Nathan's mixture first:

Total cups of paint in Nathan's mixture = 10 cups (blue) + 9 cups (red) = 19 cups

Percentage of red paint in Nathan's mixture = (9 cups / 19 cups) * 100% ≈ 47.37%

Now, let's calculate the percentage of red paint in Samantha's mixture:

Total cups of paint in Samantha's mixture = 4 cups (blue) + 3 cups (red) = 7 cups

Percentage of red paint in Samantha's mixture = (3 cups / 7 cups) * 100% ≈ 42.86%

Comparing the percentages, we see that Nathan's purple paint has a higher percentage of red paint (47.37%) compared to Samantha's purple paint (42.86%). Therefore, Nathan's purple paint will be redder.

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The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

There are 2200 different ways the six medals can be given out.

To determine the number of different ways the six medals can be given out, we need to calculate the number of possible combinations.

For the boys' medals:

There are 12 boys competing, and we need to select 3 of them for the medals. This can be done in C(12, 3) ways, which is calculated as:

C(12, 3) = 12! / (3! * (12 - 3)!) = 12! / (3! * 9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220.

For the girls' medals:

There are 5 girls competing, and we need to select 3 of them for the medals. This can be done in C(5, 3) ways, which is calculated as:

C(5, 3) = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = (5 * 4) / (2 * 1) = 10.

To find the total number of ways the six medals can be given out, we multiply the number of possibilities for the boys' medals by the number of possibilities for the girls' medals:

Total number of ways = 220 * 10 = 2200.

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The students are most likely studying percentages or proportions related to the data being represented in the circle graph.

To know the students most likely to study:

The group of students are most likely studying a circle graph that represents data using sectors labeled with numbers and symbols.

This type of graph is commonly used to show proportions or percentages of a whole.

Therefore, the students are most likely studying percentages or proportions related to the data being represented in the circle graph.

The options "frequency distribution" and "bar graph" are less likely to be studied in this context as they are different types of graphs that represent data differently.

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The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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A standard piece of paper typically has dimensions of 8.5 inches by 11 inches (21.59 cm by 27.94 cm).

These dimensions refer to the North American standard paper size known as "Letter" or "US Letter." It is commonly used for various purposes such as printing documents, letters, and reports. The dimensions are based on the traditional imperial measurement system, specifically the United States customary units. The longer side of the paper is known as the "letter" or "long" side, while the shorter side is called the "legal" or "short" side.

The 8.5 by 11 inch size provides a versatile and widely accepted format for printing and documentation needs.

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Answer:

is 16.75

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Answer:

1st: x-120

2nd: 0

3rd: x+12

4th: 120 + x

5th: x+12

im pretty sure that's right...?

I won't get brainliest lol