30% de un numero en lenguaje alguno

Answer: the probability of being offered both jobs is 0.05, or 5%

Step-by-step explanation:

To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.

Substituting the given values, we get:

0.40 = 0.25 + 0.20 - P(A and B)

Solving for P(A and B), we get:

P(A and B) = 0.25 + 0.20 - 0.40 = 0.05

Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).

Angle B is an acute angle in a right triangle, it must be less than 90 degrees. Therefore, a reasonable approximation for angle B ≈ 76 degrees.

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

Let's use the trigonometric ratio for the sine of angle B, which is the ratio of the opposite leg to the hypotenuse:

sin(B) = opposite leg / hypotenuse

We are given that the ratio of the opposite leg to the hypotenuse is 0.96:

opposite leg / hypotenuse = 0.96

So, we can substitute 0.96 for opposite leg / hypotenuse:

sin(B) = 0.96

Now we can use the inverse sine function to find the value of angle B:

B = sin^(-1)(0.96)

Using a calculator, we get:

B ≈ 75.96 degrees

Since angle B is an acute angle in a right triangle, it must be less than 90 degrees. Therefore, a reasonable approximation for angle B is:

B ≈ 76 degrees

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The integral of sec^3(4x) can be found using the substitution method.

Let u = 4x, then du/dx = 4 and dx = du/4

Substitute these values into the integral:

Now we can use the formula for the integral of sec^3(x):

Substitute back in u for x:

Therefore, the integral of sec^3(4x) is (1/8) sec(4x) tan(4x) + (1/8) ln |sec(4x) + tan(4x)| + C, where C is the constant of integration.

~ Zeph

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

= 15/20 - 4/20

= 11/20

So, the answer is 11/20

To graph the function, we can start by plotting a few key points. The first point is (0, 2), since F(0) = cos(0) + 1 = 2. The next point is (1, 1), since F(1) = cos(pi/2) + 1 = 1. We can continue this pattern by adding 1 to the x-value and finding the corresponding y-value.
x F(x)

0 2

1 1

2 0

3 1

4 2

5 1

6 0

Using these points, we can plot the graph of F(x), which looks like a series of peaks and valleys that repeat every 4 units. The peaks occur when cos(pi/2 x) = -1, which happens when pi/2 x = (2n + 1) pi/2, where n is an integer. Solving for x, we get x = 2n + 1. Similarly, the valleys occur when cos(pi/2 x) = 1, which happens when pi/2 x = 2n pi, where n is an integer. Solving for x, we get x = 4n.

What is cosine function ?
The cosine function is a mathematical function that maps the input angle to the output value of the cosine of that angle. It is denoted as cos(x) and is defined for all real values of x.

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Answer: 40

Step-by-step explanation:

20% = 0.2

0.2 x 200 = 40

Answer:3.5

Step-by-step explanation:

The length of arc FGE is given as follows:

230º.

The angle addition postulate states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.

The entire circumference has an angle measure of 360º, while the arc EH has an angle measure of 130º, hence the length of arc FGE is obtained as follows:

x + 130 = 360

x = 360 - 130

x = 230º.

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The missing side length, C, is approximately 23.53 units.

To find the missing side length in a right triangle, we need to use trigonometry. Given the angle A = 27° and the side length opposite to it, B = 12C, we can follow the following steps to find the missing side length:

1. Locate the angle measured: In this case, we are given angle "A = 27°."

2. Label the sides of the right triangle: Let's label the hypotenuse as H, the side opposite to angle A as O, and the side adjacent to angle A as A. We can choose any side as the hypotenuse, so let's choose H to be the side opposite to angle B.

3. Which side do you know? Which side are you trying to find?: We know the length of side B and are trying to find the length of side C.

4. Decide which trig function (cosine, sine, or tangent) fits the sides chosen in step 3: We are given the length of the opposite side (B) and are trying to find the length of the adjacent side (C), so we will use the tangent function.

5. Write your equation. Fill in the known measurements: The tangent of angle A is defined as the ratio of the length of the opposite side to the length of the adjacent side. So we can write:    tan(A) = B/C

      Substituting the known values, we get:

      tan(27°) = 12/C

6. Create two fractions. Cross-multiply to solve: To solve for C, we can cross-multiply and simplify the equation as follows:

      tan(27°) = 12/C  

      C * tan(27°) = 12          

      C = 12/tan(27°)                                                                                

        Using a calculator, we can evaluate the value of tan(27°) to be approximately 0.5095. Therefore,                                                     

       C = 12/0.5095 ≈ 23.53

Hence, the missing side length, C, is approximately 23.53.

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A correlation coefficient based on an observational study can only measure the strength of the relationship between two variables, and it cannot be used to prove a cause-and-effect relationship.

Even if the correlation is close to -1 or +1, this does not necessarily mean there is a cause-and-effect relationship between the two variables—it could be due to chance. Similarly, if the scatterplot of the data has little vertical variation, this does not necessarily mean there is a cause-and-effect relationship. The only way to prove a cause-and-effect relationship is through a controlled experiment. Therefore, the correlation coefficient based on an observational study can never be used to support a claim of cause and effect.

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The value of 19 in Roman numerals is XIX

Roman numerals are defined as a numeral system which originated in ancient Rome and still remains the usual way of writing numbers throughout Europe into the Late Middle Ages.

Some examples of these numeral are;

We have to represent 19, we have;

X representing ten

IX representing nine

Put them together

19 is equal to XIX

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Answer:

good for you

Step-by-step explanation:

:)

Answer;

the only LLLLLLLLLLLLLLLLLLOSERRRRRRRRRRRRRRRRRRRRRRRRRRRRR is you

Step-by-step explanation:

Answer:

The major axis of the given ellipse is on the y-axis.

Step-by-step explanation:

The general equation of an ellipse is:

[tex]\boxed{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1}[/tex]

where (h, k) is the center.

The major axis is the longest diameter of an ellipse, and the minor axis is the shortest diameter of an ellipse.

If a > b the ellipse is horizontal, a is the major radius (parallel to the x-axis), and b is the minor radius (parallel to the y-axis).

If b > a the ellipse is vertical, b is the major radius (parallel to the y-axis), and a is the minor radius (parallel to the x-axis).

The given equation is:

[tex]\dfrac{x^2}{49}+\dfrac{y^2}{81}=1[/tex]

Therefore:

As b > a, the ellipse is vertical.

The major axis is 18 units in length and is parallel to the y-axis.

The minor axis is 14 units in length and is parallel to the x-axis.

Both axes pass through the center of the ellipse.

As the center of the ellipse is the origin, the major axis is on the y-axis and the minor axis is on the x-axis.

This inequality is true, the given statement "The point (2,5) is inside the region defined by |a - 3| + |b - 4| < 5" is true. Therefore, the answer is True.

To determine whether the given statement is true or false, we need to substitute the values of a and b into the inequality and simplify:

|a - 3| + |b - 4| < 5

Substituting a = 2 and b = 5, we get:

|2 - 3| + |5 - 4| < 5

|-1| + |1| < 5

1 + 1 < 5

2 < 5

Since this inequality is true, the given statement "The point (2,5) is inside the region defined by |a - 3| + |b - 4| < 5" is true. Therefore, the answer is True.

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To convert meter into miles we simply have to divide meter by 1609.34 so we have 1000 m as 6.21 miles.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.

first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).

The imperial unit system uses the symbol mi to designate the mile as a unit of length.

Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.

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The percentage of the increase in the cost of season tickets is 8%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

In the last year,

$2450 was the cost of the season ticket.

This year, the cost is $2,646.

Let n be the percentage in increase amount in the season ticket.

So, applying the percentage formula,

2646 - 2450 = (2450 x n/100)

196 = 2450 x n/100

19600 = 2450 x n

Applying cross multiplication,

we get,

n = 19600/2450

n = 8

Therefore, the required value of the percentage is 8%.

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Therefore, the value of x is 26.

in geometry, an angle is a measure of the amount of rotation between two intersecting lines, or between a line and a plane. It is typically measured in degrees, with a full rotation equal to 360 degrees. Angles can also be measured in radians, which is another unit of angular measurement .Since ∠1 and ∠2 are supplementary, their sum is equal to 180 degrees. That is:

m∠1 + m∠2 = 180

Substituting the given values, we have:

124° + (2x+4)° = 180°

Simplifying this equation, we get:

2x + 128 = 180

Subtracting 128 from both sides, we have:

2x = 52

Dividing both sides by 2, we get:

x = 26

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Table A is representing  a function, and Table B does not represent a function.

What is function?

Function, can be stated as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

When a Table needs to be a function, it need to satisfy following conditions (look at the .jpeg image attached with this answer):

1. condition: every image has its pre-image,

in other words, In first circle, EVERY element has to be connected with SOME of the elements in second circle

2. condition: every image has only on pre-image.

in other words, In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle

Table A satisfies BOTH of these conditions; that is why table A is indeed a function.

Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.

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Answer:

6x² + 41x + 48

Step-by-step explanation:

Area (A) = l × w

Therefore,

A = (3x + 16)(2x + 3) (distribute)

A = 6x² + 9x + 32x + 48 (combine like terms)

A = 6x² + 41x + 48

Therefore, the area of the playground is 6x² + 41x + 48.

The equation that is used to find the number of packages is 12x + 5 = 45.  

Linear equation:

The mathematical statement that is used to find an unknown quantity is known as the Linear equation. In this, we use variables like 'x, y, z... to represent the unknown quantity or unknown number.

[ In the given problem we use variable 'x' to represent the number of packages. ]

Here we have

Ms. Wallace needs 45 juice boxes for a class trip.  

The juice boxes come in packages of 12  

Let Ms. Wallace needs to buy 'x' number of packages

Number of juice boxes in 'x' packs = 12x  

Given that Ms. Wallace already has 5 juice boxes,  

=> 12x + 5 = 45  

Therefore,

The equation that is used to find the number of packages is 12x + 5 = 45.  

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The algebraic expression for the total weight of x bags of fertilizer when each bag weighs 50 pounds is:

50x

In this expression, 50 represents the weight of each bag of fertilizer, and x represents the number of bags. When we multiply the weight of each bag by the number of bags, we get the total weight of all the bags of fertilizer.

We may use the formula 1Hp = 735Watt to convert watts to horsepower.

Watt and horsepower are both units of power.

But horsepower is a more powerful unit of power. We use horsepower to measure the power of electrical instruments such as turbines, motors, and a variety of other devices.

Thus, according to normal unit conversion rates, 1 Horsepower Equals 735 Watt.

1 Hp = 735 W

As a result, we have the conventional relationship 1Hp = 735 W. We may now simply convert any power supplied in horsepower to the unit of Watt.

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Answer: An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.

Step-by-step explanation:

Wages in a competitive market are determined by demand and supply. An increase in demand or a reduction in supply will increase the equilibrium wage. A reduction in demand or an increase in supply will reduce the equilibrium wage.

When tossing a fair coin, the possible outcomes are a head (H) or a tail (T), each with a probability of 1/2.

To find the probability of getting at least one head in two coin tosses, we can first find the probability of getting no heads (i.e., two tails) and then subtract that from 1 to get the probability of getting at least one head.

The probability of getting two tails is (1/2) * (1/2) = 1/4, since the probability of getting a tail on the first toss is 1/2 and the probability of getting a tail on the second toss is also 1/2, and we multiply these probabilities together to get the joint probability.

Therefore, the probability of getting at least one head in two coin tosses is:

1 - 1/4 = 3/4

So the probability of at least one head in two coin tosses is 3/4 or 0.75.

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To find the length of each side of the square, we need to take the square root of the area, since the area of a square is the length of one side squared.

The square root of 144 is 12.

Therefore, each side of the square is 12 cm long.

So the two ordered pairs that have a ratio of -4/3 are (-4, 3) and (4, -3).

where x and y are the first and second numbers in the ordered pair, respectively.

Checking each of the four given ordered pairs, we can see which ones satisfy this equation:

(-3, 4): -3/4 ≠ -4/3

(-4, 3): -4/3 = -4/3

(4, -3): 4/-3 = -4/3

(3, -4): 3/-4 ≠ -4/3

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There are 25 boys in the class out of a total of 40 students. The fraction of students who are boys is 5/8 and the fraction of students who are girls is 3/8.

Let's start by using the information given in the problem to determine the fraction of students who are girls in the class:

Fraction of students who are girls = 1 - Fraction of students who are boys

Fraction of students who are girls = 1 - 5/8

Fraction of students who are girls = 3/8

Now we can use the fraction of girls to find the number of boys and girls in the class:

Let the total number of students in the class be x.

Number of boys = 5/8 * x

Number of girls = 3/8 * x

We know that there are 15 girls in the class, so we can set up an equation:

3/8 * x = 15

Solving for x:

x = 15 * 8/3

x = 40

So there are 40 students in the class. Now we can find the number of boys:

Number of boys = 5/8 * x

Number of boys = 5/8 * 40

Number of boys = 25

Therefore, there are 25 boys in the class.

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42 in base 5 is written as 132.

In mathematics, we often use different number systems, also known as bases, to represent numbers. The most commonly used number system is the decimal system, which is base 10. However, there are many other number systems, such as base 2, base 5, base 8, and so on. Each base system has its own set of digits that are used to represent numbers. In this explanation, we will focus on base 5 and how to convert the number 42 to base 5.

To convert a number to a different base system, we need to first understand the concept of place value. Place value is the value of a digit based on its position in a number. In the number 42, the digit 4 is in the tens place and has a value of 40 (4 x 10). The digit 2 is in the ones place and has a value of 2.

In base 5, we only have 5 digits to work with: 0, 1, 2, 3, and 4.

To convert the number 42 to base 5, we need to divide 42 by 5 and record the remainder.

We then divide the quotient by 5 again and record the remainder, and so on, until the quotient is 0.

42 ÷ 5 = 8 remainder 2

8 ÷ 5 = 1 remainder 3

1 ÷ 5 = 0 remainder 1

To convert these remainders into the corresponding digits in base 5, we simply read them from bottom to top. Therefore, 42 in base 5 is written as 132.

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Answer:

The mean is 190

Step-by-step explanation:

To solve this problem you need to add up the 3 weights (160,215 and 195) after doing so you should get 570 then to get the mean divide 570 by 3.

The cube root of 64 is 4.

Cube root of number is value which when multiplied by itself three times to produces original number.

Cube root denoted by ∛ sign.

Given number is 64.

We have to find the cube root of 64.

To find the cubic root of number,

Following steps should be followed:-

1. We can use the prime factorization method.

First we evaluating the prime factors of given number

[tex]2\times2\times2\times2\times2\times2=64[/tex]

2. We can pair similar digits in group of three,

4 x 4 x 4 = 64.

We can write it as,

[tex]\sqrt[3]{4} = 64[/tex]

The cube root of 64 is 4

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Real question is

Find the cube root of 64?