charles has three songs on a playlist. each song is by a different artist. the artists are taylor swift, cardi b, and bts. he programs his player to play the songs in a random order, without repetition. what is the probability that the first song is by taylor swift and the second song is by cardi b? write your answer as a fraction or a decimal, rounded to four decimal places. the probability that the first song is by taylor swift and the second song is by cardi b is

Answer:

(A)increasing

Step-by-step explanation:

Given the time and total distance ran by Myra in the table below.

\(\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|\)

We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.

Therefore Option A is the correct option.

Answer:

its a

Step-by-step explanation:

Given a set P of n points in R2 (the 2D plane). The task is to suggest an expected O(n) time algorithm for finding a triangle, with vertices from P, with a smaller perimeter.

That is, the sum of pairwise distances |pipj | + |pjpk | + |pkpi | is as small as possible, for all triples of points pi, pj, pk ∈ P. The steps involved in the algorithm are explained below:

Step 1: Create a random permutation π of the points in P. Let P[π[i]] denote the ith point in the permutation.

Step 2: For each pair of points (pi, pj), compute the Euclidean distance dij = ||pi − pj||.

Step 3: For each pair of points (pi, pj), store the index j of the closest point to pi in the permutation π, that is, pj = argminj≠i{dij}

Step 4: For each point pi, compute the minimum perimeter triangle that includes pi and any two points pj and pk, where pj is the closest point to pi and pk is the closest point to pj among all points other than pi, that is, compute Pi = pijpk.

Step 5: Find the triangle with the smallest perimeter among all the triangles computed in Step 4. This triangle is the required output. The expected time complexity of the above algorithm is O(n).

Step 1: Create a random permutation π of the points in P. Let P[π[i]] denote the ith point in the permutation. This step is used to avoid any bias in the selection of points and ensure that the algorithm is expected to work well for any input data.

Step 2: For each pair of points (pi, pj), compute the Euclidean distance dij = ||pi − pj||. This step is used to calculate the pairwise distances between all pairs of points in P. The Euclidean distance is the standard distance measure in the 2D plane.

Step 3: For each pair of points (pi, pj), store the index j of the closest point to pi in the permutation π, that is, pj = argminj≠i{dij}. This step is used to find the closest point to each point in P. It can be shown that the closest point to a point in P must be one of its neighbors in the permutation π, that is, one of the points that come before or after it in the permutation π. Therefore, only a small subset of points need to be considered as potential closest points for each point in P.

Step 4: For each point pi, compute the minimum perimeter triangle that includes pi and any two points pj and pk, where pj is the closest point to pi and pk is the closest point to pj among all points other than pi, that is, compute Pi = pijpk. This step is used to compute all the triangles that include each point in P. The minimum perimeter triangle that includes each point pi is guaranteed to have one vertex at pi, one vertex at pj, and one vertex at pk, where pj is the closest point to pi and pk is the closest point to pj among all points other than pi. Therefore, only a small subset of points need to be considered as potential vertices for each triangle.

Step 5: Find the triangle with the smallest perimeter among all the triangles computed in Step 4. This triangle is the required output. This step is used to find the triangle with the smallest perimeter among all the triangles that include each point in P. The triangle with the smallest perimeter can be found by simply iterating over all the triangles and keeping track of the one with the smallest perimeter. This step has a time complexity of O(n).Conclusion: Therefore, an expected O(n) time algorithm for finding a triangle, with vertices from P, with a smaller perimeter is suggested.

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Answer: here are four types of transformations, reflections, rotations, translations and resizing but resizing does not keep the shape congruent. Therefore, the three types of transformations that are congruence transformations are reflections, rotations, and translations.

Answer:

John is not correct

Step-by-step explanation:

(Unless you meant 5:6)

Make the base question into \(\frac{35}{42}\)

simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7

divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.

To answer this question we will use the Pythagorean theorem.

Let l be the length (in meters) of the longer leg, then the length of the shorter (in meters) leg will be l-1.

Using the Pythagorean theorem we get:

Simplifying the above result we get:

Adding like terms we get:

Subtracting 25 from the above equation we get:

Dividing the above equation by 2 we get:

Now, notice that:

Then:

Therefore:

Since l is the length of a leg of a right triangle, then l>0, therefore l=4.

Answer:

Length of the shorter leg: 4m.

Length of the longer leg: 3m.

Length of the hypotenuse: 5m.

Term, in math, could be a number, or a variable, or something like 4x

ex. 4, z, 2x, 3n^2 etc.

plz brainliest :)

By using probability, it can be calculated that

Probability that an athlete play golf or tennis but not both = 0.75

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

This is a problem on probability

Number of athletes who play tennis is 30

Number of athletes who play golf is 10

Number of athletes who play both is 5

Number of players who play tennis only is 30 - 5 = 25

Number of players who play golf only is 10 - 5 = 5

Number of players who play tennis or golf but not both is  25 + 5 = 30

Probability that an athlete play golf or tennis but not both = 30/40

Probability that an athlete play golf or tennis but not both = 0.75

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the correct option is b

The circumference and area of the flower are 15.7 and 19.6 respectively

The image that completes the question is added an attachment

From the image, we have

Diameter = 5 inches

The circumference is calculated as

C = π * Diameter (d)

So, we have

C = πd

This gives

C = 3.14 * 5

Evaluate

C = 15.7

The area is calculated as

A = π(d/2)^2

This gives

A = 3.14 * (5/2)^2

Evaluate

A = 19.6

Hence, the circumference and area of the flower are 15.7 and 19.6 respectively

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

Answer:

4

Step-by-step explanation:

There are 5 points. So there are 4 segments. The segments are the line between two points.

Answer:

the bottom answer choice : segment TD

Step-by-step explanation:

Hello.

We know that ΔSJL ≅ ΔDMT

∠S ≅ ∠D

∠J ≅ ∠M

∠L ≅ ∠T

                            __                                             __

So the segment  LS  corresponds to segment  TD

c) If r=1 or -1, there is a perfect straight-line relationship between the two variables.

Option a) is incorrect. The correlation coefficient r measures the strength and direction of a linear relationship between two variables, not any type of association.

Option b) is incorrect. The correlation coefficient r is a unitless measure and does not change when we change the units of measurement of x, y, or both.

Option c) is correct. When r=1 or -1, it indicates a perfect straight-line relationship between the two variables. A positive value of 1 indicates a perfect positive linear relationship, while a negative value of -1 indicates a perfect negative linear relationship.

Option d) is incorrect. Outliers can have a significant impact on the value of r. Outliers can pull the regression line away from the majority of data points, leading to a weaker correlation.

Option e) is incorrect. If r=0, it means there is no linear relationship between the two variables. However, there might still be a non-linear relationship or other types of association between them.

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Answer:

The function rule for this set of ordered pairs is y = 2x + 1.

This can be determined by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) can be calculated by using the formula:

m = (change in y) / (change in x)

For the ordered pair (1, 3) and (3, 7), we can see that change in x = 3 - 1 = 2 and change in y = 7 - 3 = 4, so m = 4/2 = 2.

Then, using any of the point we can find the b which is y-intercept. let's take the point (-2, -3) and substitute the values in the function y = 2x + b

-3 = 2(-2) + b

-3 = -4 + b

b = 1

So, the function rule is y = 2x + 1

Answer:

A = 2.42 sq. meters

Step-by-step explanation:

13 feet = 13 × 0.305 = 3.965 meter

2 feet = 2 × 0.305 = 0.61 meter

A = lw

A = (3.965) × (0.61)

A = 2.41865 sq. meters

A = 2.42 sq. meters

Answer:

Step-by-step explanation:

k=x÷y

Multiply both sides of the equation by y.

ky=x

Swap sides so that all variable terms are on the left-hand side.

x=ky

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

D.

Step-by-step explanation:

1 times 3 + 12 times 3 = 39

Answer:

39 maybe

Step-by-step explanation:

12×3=36

3×1=3

36+3=39

Answer:

\(7a(3b - 4c) + 4a(3c - 2a) \\ 21ab - 28ac + 12ac - 8 {a}^{2} \\ = 21ab - 16ac - 8 {a}^{2} \)

I hope I helped you^_^

Answer:

21ab - 49ac - 8a

Step-by-step explanation:

Hope i helped !!!

Answer:

116

Step-by-step explanation:

5:4:9

? :?:261

261 x 4 all divided by 9 = 116

Update me whether it's right or wrong!

In the system of linear equations given, only option b have exactly one solution

A system of linear equations is a collection of two or more linear equations that are solved simultaneously. A linear equation is an equation that can be written in the form ax + b = c, where a, b, and c are real numbers and a is not equal to 0.

In this given problem, we have four system of linear equations and we need to determine which has exactly one solution.

a)

2x - 4y = 8 ...eq(i)

x + y = 7 ...eq(ii)

Solving both equations

x = 6, y = 1

b)

3x + y = - 1 ..eq(i)

8x + 2y = -2 ..eq(ii)

Solving both equations

x = 0, y = - 1

c)

3x + 3y = 3 ...eq(i)

-6x - 6y = 3 ...eq(ii)

Solving both equations;

There's no solution to this problem.

d)

3x - 2y = 4 ..eq(i)

-3x + 2y = 4 ..eq(ii)

Solving for both equations;

There's no solution to this problem

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The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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Answer:

(2, - 3 )

Step-by-step explanation:

x + 4y = - 10 → (1)

2x - y = 7 → (2)

multiplying (2) by 4 and adding to (1) will eliminate y

8x - 4y = 28 → (3)

add (1) and (3) term by term to eliminate y

9x + 0 = 18

9x = 18 ( divide both sides by 9 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

2 + 4y = - 10 ( subtract 2 from both sides )

4y = - 12 ( divide both sides by 4 )

y = - 3

solution is (2, - 3 )

Answer:

for that first u should know that how much litres of water that aquarium can contain.

for that first u should know that how much litres of water that aquarium can contain.so that probably depends upon the size length and width of a container

for that first u should know that how much litres of water that aquarium can contain.so that probably depends upon the size length and width of a containera normal container can be filled with approximately 15 containers

The function y must be decreasing (or equal to 0) on any interval on which it is defined.

The differential equation y' - (1/5)y² = 0 is a first-order separable equation. It can be rearranged as y' = (1/5)y², and then solved by separation of variables to obtain y = 5/(c-5x), where c is the constant of integration. Since the denominator c-5x is decreasing as x increases, the function y is increasing (or equal to 0) as x decreases. Conversely, y is decreasing (or equal to 0) as x increases.

This behavior is consistent with the fact that the right-hand side of the differential equation is negative for y > 0, which means that the slope of the solution curve is negative when y is positive. Therefore, any solution of the equation y - (1/5)y² is decreasing (or equal to 0) on any interval on which it is defined.

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Answer:

c=9

Step-by-step explanation:

Let's solve your equation step by step:

1. \(1.5c-6+6=7.5+6\)

1.5 \(1.5c=13.5\)

2.\(\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}\)

3. C=9

1.5(9)-6=7.5

13.5-6=7.5

Answer:

the slope is 3,6

Step-by-step explanation:

im a guineas

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In the given figure, Angle 3x forms linear pair with Angle 123°, so their sum measures 180°

that is :

value of x = 19°