Solve the equation. -2=6/7p
HURRY!

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

The Pearson correlation measures the strength and direction of the linear relationship between two variables. A correlation coefficient of -1 indicates a perfect negative linear relationship, a correlation coefficient of 0 indicates no linear relationship, and a correlation coefficient of +1 indicates a perfect positive linear relationship.

In general, the closer the absolute value of the correlation coefficient is to 1, the closer the data points will be to a straight line. Therefore, among the given options, the correlation coefficient that would result in data points being clustered most closely around a straight line is option (c) r = –0.70, which indicates a strong negative linear relationship between the two variables. When the correlation is close to -1, the data points tend to form a straight line with a negative slope, indicating a strong and consistent negative relationship between the two variables.

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

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The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.

To draw the lines and indicate the point of intersection, you can follow these steps:

1. Draw a coordinate system on a piece of paper or using a drawing software.

2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.

3. Connect the two points with a straight line and label it as line A.

4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.

5. Connect the two points with a straight line and label it as line B.

6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.

7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.

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Step-by-step explanation:

A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines

B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines

C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect

D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side

E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines

Answer:

\(\sqrt{10}\)

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= \(\sqrt{10}\)

The average velocity of friend skateboards down a hill is 4.13 m/s.

Average velocity is the displacement of an object over time. To find the average speed of an object we divide the distance traveled by the time elapsed.

Mathematically,

Average Velocity = Total distance traveled / total time taken

Now it is given set of data for velocity at 1-second intervals are,

{(0.00 s, 0.600 m/s), (1.00 s, 1.90 m/s), (2.00 s, 3.20 m/s), (3.00 s, 4.50 m/s), (4.00 s, 5.80 m/s)}

Here we see that,

At t₁ = 0.00 s ; v₁ = 0.600 m/s

Thus distance traveled d₁ = v₁*t₁

d₁ = 0*0.6 = 0 m

At t₂ =1 s  ; v₂ = 1.9 m/s

Thus distance traveled d₂ = v₂ * t₂

d₂ = 1*1.9 m = 1.9 m

At t₃ = 2 s ; v₃ = 3.3 m/s

Thus distance traveled d₃ = v₃*t₃

d₃ = 2 * 3.3 = 6.6 m

At t₄ = 3 s ; v₄ = 3.2 m/s

Thus distance traveled d₄ = t₄*v₄

d₄ = 3*3.2 = 9.6 m

At t₅ = 4 s ; v₅ = 5.8 m/s

Thus distance traveled d₅ = v₅* t₅

d₅ = 5.8*4 = 23.2 m

Thus,

Average velocity of skate board = Total distance / total time taken

⇒ Average velocity of skate board = (d₁ + d₂ + d₃ + d₄ + d₅)/(t₁ + t₂ + t₃ + t₄ + t₅)

Putting the values we get,

⇒ Average velocity of skate board = (0 + 1.9 + 6.6 + 9.6 + 23.2)/(0 + 1 + 2 + 3 + 4)

⇒ Average velocity of skate board = 41.3/10

⇒ Average velocity of skate board = 4.13 m/s

Thus, the average velocity of friend skateboards down a hill is 4.13 m/s.

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The measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

Let the measure of the angle be x.

We are given that the measure of its other two supplementary angles is 100°

We know that:

The sum of the supplementary angles is equal to 180°.

So, we get that:

100° + x = 180°

Subtract 100° from both the sides:

x = 180° - 100°

Simplify the expression:

x = 80°

Therefore, we get that, the measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

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The game of matching pennies has a mixed strategy Nash equilibriumIn the game of matching pennies, there are two players, Player 1 and Player 2.

Each player can choose to either show heads (H) or tails (T) by flipping a penny. The payoff matrix for the game is as follows:

       Player 2

        H    T

Player 1

H       1   -1

T      -1    1

A Nash equilibrium is a strategy profile where no player can unilaterally change their strategy to obtain a higher payoff.

In the game of matching pennies, if Player 1 chooses heads, Player 2 would want to choose tails to maximize their payoff. Similarly, if Player 1 chooses tails, Player 2 would want to choose heads. This implies that Player 2 can't have a pure strategy Nash equilibrium since they would have an incentive to switch their strategy based on Player 1's choice.

However, in the game of matching pennies, there exists a mixed strategy Nash equilibrium. Both players can choose their strategies randomly with equal probabilities. For example, Player 1 can choose heads with a probability of 0.5 and tails with a probability of 0.5, while Player 2 can choose heads with a probability of 0.5 and tails with a probability of 0.5.

In this case, neither player has an incentive to change their strategy since the expected payoffs are the same regardless of the opponent's strategy. Thus, the mixed strategy Nash equilibrium is achieved when both players randomize their choices equally.

Therefore, the game of matching pennies has a mixed strategy Nash equilibrium.

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Plotting the relationship between the number of hours studied and exam results reveals a negative correlation curve, where the exam results get worse as the number of hours studied rises.

The point (10,70) would be plotted on the negative correlation curve, for instance, if a student spent 10 hours studying and received a 70 on their exam. A downward sloping negative correlation curve would result as study time increased and exam score decreased. A graph illustrating the relationship between two variables, where an increase in one variable is accompanied by a drop in the other, is called a negative correlation curve. Numerous various types of situations, such as the amount of hours studied and exam results, might demonstrate this type of link. Exam scores typically decline as the amount of study time increases.

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The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\(\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]\)

Find the determinant of \(\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]\)

\(\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4\)

\(\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12\)

\(\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8\)

\(x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3\)

\(y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2\)

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

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Answer:

E, -1/5

Step-by-step explanation:

The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.

Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.

By substituting

m = (4 - 1) / (-20 - [-5])

m = 3 / (-20 + 5)

m = 3 / -15

m = -1 / 5

\(\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15\)

Answer:

the one I have found that would is

13 small frames

6 big ones

Step-by-step explanation:

not gonna lie I used trial and error

so I went for example 19 x 10 = 190

205 - 190 = 15 and then 15 / 7

I did this until I got an whole number on the divide by seven bit

Answer:

Perimeter: 14a+2b

Tickets:7x+6

Step-by-step explanation:

Perimeter: Add all the functions together

Tickets: Subtract 15x+1 by 8x-5.

Answer:

Option B

Step-by-step explanation:

=> \(f(x) = 3x+5\)

=> \(g(x) = x^2\)

Subtracting both

=> \((f-g)(x) = 3x+5-x^2\)

Assembling

=> \((f-g)(x) = -x^2+3x+5\)

The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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given base of square =13cm

all sides of squares is equal so

area of square is a^2 =13cm*13cm =169cm^2

Answer:

\( 196 \: {cm}^{2} \)

Explanation:

As the area of a square is

\(l {}^{2} \)

Where l is the length. As we know that all rhe sides of a square are equal in length therefore, each side of the square has a length of 13 cm.

Now,

\( {l}^{2} \)

\( {13}^{2} \)

Which is equal to

\(169 \: cm {}^{2} \)

Answer:

(0,-5) and (-4,3) are the points to the equations.

Step-by-step explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

Answer:

(-4;3), (0;-5)

Step-by-step explanation:

The parametric equations x = t, y = t2, t ≥ 0, model the position of a moving object at time t. When t = 0, the object is at (0, 0) since x = t = 0 and y = t^2 = 0^2 = 0. When t = 1, the object is at (1, 1) since x = t = 1 and y = t^2 = 1^2 = 1.

To determine the position of the object at t = 0 and t = 1, we can substitute these values into the given parametric equations.

When t = 0:

x = 0

y = 0^2 = 0

Therefore, at t = 0, the object is at the point (0, 0).

When t = 1:

x = 1

y = 1^2 = 1

Therefore, at t = 1, the object is at the point (1, 1).

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The volume of the basketball is approximately 1789. Rounding to the nearest tenth of an inch, the volume of the basketball is approximately 1789.1 cubic inches.

To find the volume of a basketball with a given radius, we can use the formula for the volume of a sphere. The formula tells us that the volume of a sphere is equal to four-thirds times pi times the radius cubed.

In this case, we are given that the radius of the basketball is 7.69 inches. So, we can plug this value into the formula to find the volume.

Using a calculator to perform the necessary calculations, we get:

V = (4/3) * pi * (7.69)^3

V ≈ 1789.1 cubic inches

Therefore, the volume of the basketball is approximately 1789.1 cubic inches, rounded to the nearest tenth of an inch. This tells us how much space the basketball takes up in three-dimensional space.

Knowing the volume of an object can be useful in various applications such as designing packaging, calculating the amount of material needed to manufacture the object, or estimating the amount of liquid or gas it can hold.

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The probability that a second call will not arrive in the next 20 seconds is approximately 0.2636 or 26.36%.

Poisson probability is a mathematical concept that describes the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate of occurrence. The Poisson probability distribution is named after French mathematician Siméon Denis Poisson, who introduced it in the early 19th century to model the occurrence of rare events, such as errors in counting or measurement, accidents, or phone calls.

The Poisson probability distribution is a discrete probability distribution that gives the probability of a certain number of events (x) occurring in a fixed interval (t), when the average rate of occurrence (λ) is known. The Poisson probability distribution assumes that the events occur independently and at a constant average rate over time or space. The formula for Poisson probability is:

P(x; λ) = (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = it is the average rate of occurrence in the given interval

x = it is number of occurrences in the given interval

Given that calls for dial-in connections arrive at an average rate of four per minute and follow a Poisson distribution, we can use the Poisson probability formula to solve this problem. The Poisson probability formula is:

P(x; λ) =  (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = the average rate of occurrence in the given interval

x = it is the number of occurrences in the given interval

In this problem, we are interested in finding the probability that a second call will not arrive in the next 20 seconds, given that a call has already arrived at the beginning of a one-minute interval. Since we are given the average rate of calls per minute, we need to adjust the interval to 20 seconds, which is 1/3 of a minute. Therefore, the average rate of calls per 20 seconds is:

λ = (4 calls/minute) * (1/3 minute) = 4/3 calls/20 seconds

Using the Poisson probability formula, we can calculate the probability of no calls arriving in the next 20 seconds:

P(0; 4/3) = ( \(e^{-4/3}\)* (4/3)⁰) / 0! = \(e^{-4/3}\) ≈ 0.2636

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The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

Antionette can purchase a maximum of 56 adult-sized t-shirts.

What is algebraic ?

Algebraic refers to anything that pertains to algebra, which is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. Algebraic concepts include using variables (such as x or y) to represent unknown values, using operations such as addition, subtraction, multiplication and division.

Let x be the number of adult-sized t-shirts that Antionette purchases.

We know that ,

The cost of each adult-sized t-shirt is $6.25

The cost of each youth-sized t-shirt is $4.50

Antionette has $550 to purchase both adult-sized and youth-sized t-shirts

Antionette purchases 45 youth-sized t-shirts

We can set up the equation to represent the total cost of all the t-shirts and the money Antionette has ,

(x6.25) + (454.50) = 550

To solve for x, we can simplify the equation by multiplying the number of adult-sized t-shirts by the cost per t-shirt and the number of youth-sized t-shirts by the cost per t-shirt, and then set it equal to the total money Antionette has ,

x*6.25 + 202.5 = 550

then we can subtract 202.5 from both sides , x*6.25 = 347.5

then divide both sides by 6.25 to get ,  x = 56

So, Antionette can purchase a maximum of 56 adult-sized t-shirts.

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The cost of each adult-sized t-shirt is $6.25

The cost of each youth-sized t-shirt is $4.50

Antionette has $550 to purchase both adult-sized and youth-sized t-shirts

Antionette purchases 45 youth-sized t-shirts

(x*6.25) + (454.50) = 550

x*6.25 + 202.5 = 550

then we can subtract 202.5 from both sides , x*6.25 = 347.5

then divide both sides by 6.25 to get ,  x = 56

So, Antionette can purchase a maximum of 56 adult-sized t-shirts.

the answer is correct

we have to check that if we operate the numbers that are inside the box we get the numerator

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The value of x is given as follows:

x = 5.4.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle of 60º, we have that:

Hence we apply the tangent ratio to obtain the value of x as follows:

tan(60º) = 9.3/x

x = 9.3/tangent of 60 degrees

x = 5.4.

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Answer:

C

Step-by-step explanation:

Remark

You must do the changes in order. Add 1 then multiply by 2

Answer: 7 14 15 30

The measure of angle ∠ABD is 114.

We have,

The angle between the tangent line is 180 minus the arc length between the two points of the tangent on the circle.

So,

64 = 180 - AD

Now,

AD = 180 - 64

AD = 114

This means,

∠ABD = 114

Because the arc length intercepted from the central angle is the same.

Thus,

The measure of angle ∠ABD is 114.

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The probability of all 5 marbles being red is (8/26) x (7/25) x (6/24) x (5/23) x (4/22) = 0.000766.

This can also be written as P(RRRRR) = 8/26 x 7/25 x 6/24 x 5/23 x 4/22. This probability is very small, as the chances of randomly selecting only red marbles from the bag is low.

This calculation is based on the formula for combinations, which states that the probability of selecting r items from a group of n items is nCr x Pr, where nCr is the number of combinations of selecting r items from n items and Pr is the probability of selecting a specific item. In this case, n = 26 and r = 5, so the number of combinations of selecting 5 items from 26 items is 26C5. This is equal to 8x7x6x5x4/5x4x3x2x1, or 8x7x6x5x4/120. The probability of selecting a specific item is 1/26, as there are 26 items in the bag. Therefore, P(RRRRR) = 8/26 x 7/25 x 6/24 x 5/23 x 4/22.

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