What is 10/14 simplified

Answer:

7.8 cm

Step-by-step explanation:

Let's find the volume of the water bottle first. The radius is 5.5/2 = 2.75 cm

V = πr²h = 3.14 * 2.75² * 20 = 474.925 cm³

If we call the minimum side length of the cube as x we can write:

x³ = 474.925 because the volume of the cube is x * x * x = x³

x ≈ 8 cm

The probability of that customer who order pie or coffee is 0.8

Define Probability

Probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total number of customers = 26

out of 26 customers,

20 - order coffee

8 - order pie

7 - order pie and coffee

5 - did not order anything

Let, a = be the event that a randomly selected customer orders coffee

b = be the event that a randomly selected customer orders pie

Probability who order coffee is P(a) = 20 / 26

Probability who order pie is P(b) = 8 / 26

Probability who order both coffee and pie is P(a and b) = 7 / 26

Now, find the probability who order coffee or pie

We have the formula to find,

P(a or b) = P(a) + P(b) - P(a∪b)

Plug in the values in given formula,

P(a or b) = 20 / 26 + 8 / 26 -  7 / 26

P(a or b) = (20 + 8 - 7) / 26

P(a or b) = 21 / 26

P(a or b) = 0.8

Hence, the probability of that customer who order pie or coffee is 0.8

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Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

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The chances of having both happen on the same trip to work are, 0.0167

What is traffic?

The passage of objects (such as vehicles or pedestrians) through a space or along a path.: the movement of ships, planes, automobiles, or pedestrians along a path. the content or signals sent through a telecommunication system. 3.: the goods or passengers that a transportation system carries.

Given: suppose your commute to work involves encountering 3 intersections in town and then getting on the interstate for 10 miles.

Your driving experiences in town and on the interstate are independent of each other.

suppose your chances of hitting a red light in town are 1 in 12, and your chances of getting tied up in traffic on the interstate are 3 in 15.

P( red light in town ) = 1/12 = 0.083

P( getting tied up in traffic on the Interstate ) = 3/15 = 0.2

So,

P( both happen on the same trip to work) = 0.083 X 0.2 = 0.0167

Hence, the chances of having both happen on the same trip to work are 0.0167.

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:

c = 16g

Step-by-step explanation:

g = 1/16 c

Multiply both sides by 16.

16g = c

c = 16g

After factoring out the common term of xy from the numerator and denominator, the given algebraic fraction simplifies to \((x^2 - 2xy) / [(2y - x) y]\).

The given algebraic fraction is:

\((x^3y - 2x^2y^2) / (2xy^3 - x2y2)\)

To simplify the expression, we can factor out the common term of xy from both the numerator and denominator:

\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)

Now we can simplify further by canceling out the common factor of xy in the numerator and denominator:

\((x^2 - 2xy) / (2y - x) y\)

So the simplified form of the algebraic fraction is:

\((x^2 - 2xy) / (2y - x) y\)

To simplify an algebraic fraction, we want to find a way to write it in a form that is easier to work with. One common method is to factor out common terms in both the numerator and denominator. In this case, we can factor out xy from both the numerator and denominator, since it is a common factor in both.

Once we factor out xy, we can rewrite the algebraic fraction as:

\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)

Next, we can simplify further by canceling out the common factor of xy in the numerator and denominator. This leaves us with:

\((x^2 - 2xy) / (2y - x) y\)

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The writer's profit is $84.00. To calculate the writer's profit, you need to consider the premiums collected from selling the call options, the interest earned on those premiums, and the cost of buying the shares to complete the call contract.The premiums collected from selling the call options are:$0.91 x 100 = $91.00The interest earned on those premiums over 30 days at 5% is:($91.00 x 0.05 x 30) / 365 = $0.38The total amount of cash available to the writer at expiry is therefore:$91.00 + $0.38 = $91.38The cost of buying the shares to complete the call contract is:100 x $42 = $4,200.00Since the underlying asset is worth $39 at expiry, the writer can buy the necessary shares for:100 x $39 = $3,900.00The writer's profit is therefore:$91.38 - $3,900.00 = $84.00Since the writer made a profit, the answer is $84.00.

Hope I helped you...

Answer:

  9.7 m

Step-by-step explanation:

You want the missing side of the right triangle with one leg 7 m and hypotenuse 12 m.

The Pythagorean theorem tells you the relationship between the side lengths is ...

  y² = x² + ?²

  12² = 7² + ?²

  ?² = 144 -49 = 95

  ? = √95 ≈ 9.7

The missing side is about 9.7 meters long.

<95141404393>

Answer:

-1/2

Step-by-step explanation:

Answer:

common denominator

6

1/3 - 5/6 difference

-1/2

Step-by-step explanation:

hope I wasn't to late

have a good day guys

:)

Answer: 4x+9-3/5=10xy^3-49

Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0

STEP

1

:

Equation at the end of step 1

3

((4x + 9) - —) - ((2•5xy3) - 49) = 0

5

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3

((4x + 9) - —) - (10xy3 - 49) = 0

5

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

4x + 9 (4x + 9) • 5

4x + 9 = —————— = ————————————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4x+9) • 5 - (3) 20x + 42

———————————————— = ————————

5 5

The probability that Tally is on the red team is 1/4.

We have,

Total students = 16

Students in each group = 16/4 = 4

Total Teams = Red, Yellow, Green and Blue.

So, the probability that Tally is on the red team

= 4 / 16

= 1/4

Thus, the probability is 1/4.

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Answer:

14

Step-by-step explanation:

You multiply the negatives and then you get the positive.

The integral of the function ∫(cos(x) to sin(x)) ln(8 + 7v) dv is:

(1/7) * [8( ln(8 + 7sin(x)) - ln(8 + 7cos(x))) + 7(sin(x) - cos(x))]

We have,

To solve the integral ∫(cos(x) to sin(x)) ln(8 + 7v) dv, we can follow these steps:

Let's break down the integral into two separate integrals based on the limits of integration:

∫(cos(x) to sin(x)) ln(8 + 7v) dv

= ∫(cos(x) to sin(x)) ln(8 + 7v) dv

Now, we'll perform a u-substitution to simplify the integrand.

Let u = 8 + 7v, then dv = du/7. We also need to update the limits of integration:

When v = cos(x), u = 8 + 7cos(x)

When v = sin(x), u = 8 + 7sin(x)

The integral becomes:

(1/7) ∫(8 + 7cos(x) to 8 + 7sin(x)) ln(u) du

Next, we'll integrate the expression with respect to u:

∫ ln(u) du = u ln(u) - ∫ u/u du

= u ln(u) - u + C

Applying this to equation 2:

(1/7) * [((8 + 7sin(x)) ln(8 + 7sin(x)) - (8 + 7sin(x))) - ((8 + 7cos(x)) ln(8 + 7cos(x)) - (8 + 7cos(x)))]

This gives us the final result for the integral:

(1/7) * [((8 + 7sin(x)) ln(8 + 7sin(x)) - 8 - 7sin(x)) - ((8 + 7cos(x)) ln(8 + 7cos(x)) - 8 - 7cos(x))]

Simplifying further:

(1/7) * [8( ln(8 + 7sin(x)) - ln(8 + 7cos(x))) + 7(sin(x) - cos(x))]

Thus,

The integral ∫(cos(x) to sin(x)) ln(8 + 7v) dv is:

(1/7) * [8( ln(8 + 7sin(x)) - ln(8 + 7cos(x))) + 7(sin(x) - cos(x))]

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To find the derivative of the given function, apply the product rule step-by-step by differentiating each term individually.

To find the derivative of the given function, we can use the product rule. Let's break down the function and apply the product rule step-by-step:

Finally, combine the results from each step to get the derivative of the original function.

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Answer:

1/2

Step-by-step explanation:

Probability is equal to the amount of desirable outcomes divided by the total amount of outcomes. Each coin has two sides, and there are three of them. This accounts for a total of 2^3 or 8 outcomes. Now, we need to find the amount of outcomes where two or more coins land on heads. We can start by listing those possibilities: THH, HTH, HHT, and HHH. Notice that the first three are just three ways of rearranging the same result. We can see that there are four desirable outcomes. This means the probability is 1/2.

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, B. 10 is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of all real numbers.

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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The questions that could be used to challenge each claim goes as follows.

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Answer:

  A.  50°

Step-by-step explanation:

The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.

  ∠ACB = 180° -AB

  ∠ACB = 180° -130°

  ∠ACB = 50°

Answer:

Step-by-step explanation:

26

Answer:

16 shirts.

Step-by-step explanation:

16-6= 10, and 16+10=26, therefore Pedro has 10 shirts and Cristian has 16 shirts.

hope this helped :)

Answer:

Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces

Step-by-step explanation:

2 1/2-1 1/4=1 1/4, so 2

Using the division operation, the number of pieces of sandwich that can be cut is 2

Given the Parameters :

The number of pieces that can be cut out of the sandwich can be calculated thus :

Number of pieces = (2.5 ÷ 1.25) = 2

Therefore, there are 2 pieces of sandwich that can be cut.

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The expected payout of the game is calculated as E(X) = 164.68

This is the term that is used to refer to the likelihood of an event occurring.

We have to solve for the probability first

The probability of 0

= 1 - the sum of all of the values

= 1 - 0.151 + 0.029 + 0.0007

= 1 - 0.1807

= 0.8193

Next we have to solve for the expected payout

The formula is given as

∑pi * xi

= 0.151 * $180 + 0.029 * $1000 + 0.0007 * 155000 + 0 * 0.8193

= 27.18 + 29 + 108.5 +0

= $164.68

E(X) = 164.68

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A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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3 is the ways that she could do this

Let's first find the sum of each list:

List S: 3 + 5 + 8 + 11 + 13 + 14 = 54

List T: 2 + 5 + 6 + 10 + 12 + 13 = 48

The difference between the sums of the lists is 54 - 48 = 6.

two numbers must be half of 6, which is 3. In other words, we're looking for pairs of numbers where the number from List S is 3 greater than the number from List T.

Now we'll compare the numbers in the two lists to see which pairs meet this condition:

(3, 0): No match.

(5, 2): Match.

(8, 5): Match.

(11, 8): No match.

(13, 10): Match.

(14, 11): No match.

We found 3 pairs that meet the condition: (5, 2), (8, 5), and (13, 10). Therefore, there are 3 ways Jenny can swap the numbers to make the sums equal.

The correct answer is C, 3.

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Answer:

A+C= 360

1.10A+0.40C= 282.60

Multiply first row by -.40

Step-by-step explanation: