Which number is the odd one out? 9678 4572 5261 5133 3527 6895 7768.

Using proportions, the equivalent cost in U.S. dollars per gallon would be; 5.11.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE have given that the cost of gasoline in Berlin was around 1.21 euros per liter in September 2016 .

Hence, per gallon =  per 3.785 liters, we use a rule of three to find the cost.

1.21 euros - 1 liter

x euros - 3.785 liters

Applying cross multiplication:

x = 1.21 (3.785 )

x = 4.57986 euros per gallon.

Since 1 U.S dollar is equivalent to approximately 0.896 euros, then we have;

1 dollar - 0.896 euros

x dollars - 4.57986 euros

Applying cross multiplication;

x = 4.57986 / 0.896

x =5.11

Hence, The equivalent cost in U.S. dollars per gallon would be; 5.11.

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Answer:

Step-by-step explanation:

$66.67/month for three months

The monthly payment is calulated by dividing the total cost of the mountain bike by 3.  For example, if the total cost is $200, the three monthly payments will be $66.67 each:

   $200

---------------- = $66.67/month for three months

  3 months

To learn a decision tree that predicts the class (either class 1 or class 0) for each data point, you would need to calculate the entropy of the dataset, calculate the information gain for each attribute, choose the attribute with the highest information gain as the root node, split the dataset based on that attribute, and continue recursively until you reach pure classes or no more attributes to split.

To learn a decision tree that predicts the class (either class 1 or class 0) for each data point, we need to follow these steps:

1. Start by calculating the entropy of the entire dataset. Entropy is a measure of impurity in a set of examples. If we have more mixed classes in the dataset, the entropy will be higher. If all examples belong to the same class, the entropy will be zero.

2. Next, calculate the information gain for each attribute in the dataset. Information gain measures how much entropy is reduced after splitting the dataset on a particular attribute. The attribute with the highest information gain is chosen as the root node of the decision tree.

3. Split the dataset based on the chosen attribute and create child nodes for each possible value of that attribute. Repeat the previous steps recursively for each child node until we reach a pure class or no more attributes to split.

4. To make predictions, traverse the decision tree by following the path based on the attribute values of the given data point. The leaf node reached will determine the predicted class.

5. Evaluate the accuracy of the decision tree by comparing the predicted classes with the actual classes in the dataset.

For example, let's say we have a dataset with 100 data points and 30 belong to class 1 while the remaining 70 belong to class 0. The initial entropy of the dataset would be calculated using the formula for entropy. Then, we calculate the information gain for each attribute and choose the one with the highest value as the root node. We continue splitting the dataset until we have pure classes or no more attributes to split.

Finally, we can use the decision tree to predict the class of new data points by traversing the tree based on the attribute values.

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The probability that the Cubs will win the World Series is approximately 0.21048 or 21.05% (in percent form).

To calculate the probability that the Cubs will win the World Series, we need to consider the different possible outcomes.

In order for the Cubs to win the World Series, they must win 4 games before the Red Sox do. This can happen in several ways:

Let's calculate the probability for each scenario and then add them up to find the total probability.

Now, we can add up these probabilities to find the total probability of the Cubs winning the World Series:

Total probability = 0.1296 + 0.05184 + 0.020736 + 0.0082944 = 0.21048

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The probability that the Cubs will win the World Series is approximately 0.3456 or 34.56%.

To calculate the probability that the Cubs will win the World Series, we can consider the different possible outcomes of the series. If the Cubs win a game with a probability of 3/5, then the Red Sox win a game with a probability of 2/5. The Cubs need to win 4 games in total to win the series, so the probability can be calculated using the binomial distribution.

The probability that the Cubs win the World Series can be found by summing the probabilities of each possible outcome where the Cubs win 4 games before the Red Sox. The formula for this is:

P(Cubs win the World Series) = (4 choose 4) * (3/5)^4 * (2/5)^0 + (4 choose 3) * (3/5)^3 * (2/5)^1 + (4 choose 2) * (3/5)^2 * (2/5)^2 + (4 choose 1) * (3/5)^1 * (2/5)^3

Simplifying this expression, the probability that the Cubs win the World Series is approximately 0.3456 or 34.56%.

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The new basic feasible solution will have x\ as a non-basic variable and a new basic variable with a value not equal to zero.

When a problem is in canonical form and the associated basic feasible solution is degenerate, this means that one of the basic variables has a value of zero. If the pivot operation is then performed with the basic variable with a value of zero extracted from the basis, the new basic feasible solution will have x\ as a non-basic variable and a new basic variable with a value not equal to zero. This is because the pivot operation involves exchanging the extracted basic variable with one of the non-basic variables. Therefore, the new basic feasible solution will not be degenerate, as the new basic variable will have a value not equal to zero.

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Answer:

12

Step-by-step explanation:

as $1.50 x 10 = $15 and he get 2 free so 10 + 2 = 12

The answer is (c) x=1-k, y=2k-2.

We can use Cramer's rule to solve the system of equations:

x + y = k - 1

2x + y = 0

The determinant of the coefficient matrix is:

|1 1|

|2 1|

=>  1(1) - 2(1) = -1

The determinant of the matrix obtained by replacing the first column with the column [k-1, 0]^T is:

|k-1 1|

| 0 1|

=> (k-1)(1) - 0(1) = k-1

The determinant of the matrix obtained by replacing the second column with the column [k-1, 0]^T is:

|1 k-1|

|2 0 |

=> 1(0) - 2(k-1) = -2k+2

Therefore, the solution of the system is:

x = |k-1 1| /(-1) = 1-k

     | 0 1|

y = |1 k-1| / (-1) = 2k-2

|2 0 |

Therefore, the answer is (c) x=1-k, y=2k-2.

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Answer:

Volume is 9.428 cu.cm

It is asked for nearest tenth so it would be 10 cu.cm

Answer:

\(33.8^{\circ}\)

Step-by-step explanation:

\(\sin x=\frac{10}{18} \implies x=\arcsin(10/18) \approx 33.8^{\circ}\)

Answer:

24 inches of cardboard. b

Answer:

26 + x ≥ 200

-26         -26

        x ≥ 174

Step-by-step explanation:

the left side has to equal more than 200 because it is at least 200 but that is the inequality and the way to solve it right under

Linnea has the option to choose a manicure or a pedicure, with or without a salt scrub, and pink, silver, or clear polish. To find total number of possible choices, we multiply number of options for each category.

For the type of service, Linnea can choose either a manicure or a pedicure, resulting in 2 options.

Regarding the salt scrub, she has the choice of either having it or not, which gives us 2 options.

For the polish color, Linnea can choose between pink, silver, or clear, resulting in 3 options.

To find the total number of possible choices, we multiply the number of options for each category. Therefore, the total number of choices for Linnea to use her gift card is 2 (service options) multiplied by 2 (salt scrub options) multiplied by 3 (polish color options), which equals 12.

Hence, Linnea has a total of 12 possible choices to use her gift card, considering the different options for service, salt scrub, and polish color.

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Answer:

  x = -9.7 or +5.7

Step-by-step explanation:

You want the approximate solution to x² +4x = 56.

The solution is found easily by rewriting the equation to the form ...

  x² +4x -56 = 0

The solution(s) will be the x-intercept(s) of the graph of x² +4x -56.

The solutions are -9.7 and +5.7.

We can add 4 to both sides of the equation to complete the square. (This added value is the square of half the x-coefficient.)

  x² +4x +4 = 56 +4

  (x +2)² = 60

  x +2 = ±√60 = ±2√15

  x = -2 ±2√15

  x ≈ -2 ± 7.7 = -9.7, +5.7

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

\(l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}\)

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

\(l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}\)

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

\(l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}\)

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

\(l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}\)

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Therefore;

\(Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1\)

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

\(Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1\)

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Let a represent the number of bag A

Let b represent the number of bag B

From the information given,

A type A bag requires 2 hours o the cutter's time while type B requires 3 hours of the cutter's time.The total time the cutter is available is 108 hours. The inequality representing the total number of hours for the cutter is

2a + 3b ≤ 108

A type A bag requires 3 hours o the finisher's time while type B requires 1 hour of the finisher's time.The total time the cutter is available is 78 hours. The inequality representing the total number of hours for the finisher is

3a + b ≤ 78

We would plot these inequalities. The graph is shown below

The solution region is the purple region. The boundary lines are shown as well

The equation for the profit is

12a + 9b

We would substitute the values in the graph and select the maximum

For (0, 36),

Profit = 12(0) + 9(36) = 324

For (18, 24),

Profit = 12(18) + 9(24) = 432

For (26, 0),

Profit = 12(26) + 9(0) = 312

Thus, the correct option is C

Answer:

120 mg

Step-by-step explanation:

20% of  100 is 20 so that would be 20mg  plus the 100mg they just took

100+20=120mg

i hope this helps you!

Answer:

the right is the answer :>

Step-by-step explanation:

The answer for 2+22+222+2222+22222 is 24690

Answer:

22222222222

Step-by-step explanation:

222+22+2222+22²22

Answer: The cost of a ticket for an adult is $12 while for children it is $10.

Step-by-step explanation:

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

Answer:

Angle C = 142 degrees

Step-by-step explanation:

A+B = 90

B+C = 180

Rearrange first equation to get B = 90-A

Plug this into the second equation:

90-A + C = 180

C = A + 90

Plug in A, C = 52 + 90 = 142

The value of 2 to the power of -5 times 10 to the power of -2 is 1/3200.

The value of 2 to the power of -5 times 10 to the power of -2 can be found by using the rules of exponents. In this context, the main property to be used is the following:

a⁻ⁿ = 1/a⁻ⁿ

First, we will find the value of 2 to the power of -5:

2⁻⁵ = 1/2⁵ = 1/32

Next, we will find the value of 10 to the power of -2:

10⁻² = 1/10² = 1/100

Now, we will multiply these two values together:

(1/32) * (1/100) = 1/3200

In conclusion, the value of the expression is 1/3200.

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Answer:

steps below

Step-by-step explanation:

x -7√x + 10 = 0

(√x)² - 7√x + 10 = 0

(√x - 2)(√x - 5) = 0

√x - 2 = 0      or      √x - 5 = 0

√x = 2      or      √x = 5  

(√x)² = x = 4        or     (√ x)² = x = 25  ...

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.

Alejandro's age is given as follows:

17 years old.

Alejandro's age is obtained solving a system of equations, considering it's age as x.

Double his age is given as follows:

2x.

Eight more than double is given as follows:

2x + 8.

Wilfredo's age is of 42, hence the value of x is given as follows:

2x + 8 = 42

2x = 34

x = 17.

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Answer:

D. (2,-3)

Step-by-step explanation:

if you substitute 2 for the x value and -3 for the y value in both equations, it works out.

instead of y=3x-9 it would be -3=3(2)-9.

you solve and get -3=-3, so it's a solution.

and instead of y=-2x+1 it would be -3=2(2)+1. after solving it, you would get -3=-3 again, so it works for both equations.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

11.925

Step-by-step explanation:

i hope it helps you

Answer:

its A

Step-by-step explanation: