I need this in terms of a mixed number 6(2P - 1) > 5P + 2

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

Answer:

A

Step-by-step explanation:

Descending order mean from the largest exponent to the least exponent so the answer will be the first one

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

GH bisects ∠FGI.

So,  ∠HGI =∠FGH

6x - 17 = 5x - 8      {Add 17 to both sides}

        6x = 5x - 8 + 17

        6x = 5x + 9     {Subtract 5x form both sides}

  6x - 5x = 9

a) x = 9

b) ∠FGH  = 5* 9 - 8

               = 45 - 8

  ∠FGH  = 37

c) ∠HGI = 6*9 - 17

            = 54 - 17

   ∠HGI = 37

d) ∠FGI = ∠FGH + ∠HGI

            = 37 + 37

  ∠FGI = 74  

The median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year.

The data for Gina's car mileage is:

12,200 miles in the first year

16,211 miles in the second year

12,050 miles in the third year

To find the mode, we need to identify the value that occurs most frequently in the data set. In this case, there is no mode because no value appears more than once.

To find the median, we need to arrange the data set in order from smallest to largest and identify the middle value. If there is an even number of values, we take the average of the two middle values.

12,050, 12,200, 16,211

The median is 12,200 because it is the middle value when the data set is arranged in order.

To find the mean, we add up all of the values and divide by the number of values.

(12,200 + 16,211 + 12,050) / 3 = 13,027

Therefore, the mean is 13,027.

Based on the given data, the median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year. The mean is also a reasonable choice, but it may be influenced by the high value. However, since we do not have any information about any changes in Gina's driving patterns or other relevant factors, it's difficult to accurately predict how many miles she will drive in the sixth year based solely on the given data.

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Answer:

3 + (-2) + (-2), or 3-2-2

Step-by-step explanation:

5, 5 1, 2, 6, 3

Answer:

17.1 ft

Step-by-step explanation:

Answer: g=5

Step-by-step explanation:

The number of ways of partitioning a set with n elements into two parts, where one part has 4 elements and the other part has the remaining elements, is given by the formula P=nC4*(n-4)!. This can be calculated using combinatorial analysis.

Given a set with n elements, we are required to partition this set into two parts where one part has 4 elements, and the other part has the remaining elements. We can calculate the number of ways in which this can be done using combinatorial analysis.

Let the given set be A, and let the number of ways of partitioning the set as required be denoted by P. We can compute P as follows:P= Choose 4 elements out of n × the number of ways of arranging the remaining elements= nC4 × (n - 4)!

Here, nC4 represents the number of ways of choosing 4 elements out of n elements, and (n - 4)! represents the number of ways of arranging the remaining n - 4 elements.

Suppose that we have a set with n elements such that n≥4. We want to partition the set into two subsets, where one of the subsets contains exactly four elements, and the other contains the remaining elements.

The number of ways of doing this can be found using the following formula:P = nC4 * (n-4)!

where nC4 is the binomial coefficient, which represents the number of ways of choosing four elements from n elements, and (n-4)! is the number of ways of arranging the remaining n-4 elements.

Thus, the above formula takes into account both the number of ways of choosing the four elements and the number of ways of arranging the remaining elements.

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By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.

Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -

AC² + BC² = AB²

AC² + (3√3)² = 6²

AC² = 9

AC = 3

So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -

M = ((0+6)/2, (0+0)/2) = (3, 0)

Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -

N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)

Now find the equation of the line passing through M and C, which is the line containing median AM -

slope = (3√3 - 0)/(3 - 0) = √3

y - 0 = √3(x - 3)

y = √3x - 3√3

And find the equation of the line passing through N and A, which is the line containing median CN -

slope = (0 - 3√3)/(0 - 6) = √3/2

y - 0 = (√3/2)(x - 6)

y = (√3/2)x - 3√3

Now, find the intersection point of these two lines, which is point P -

√3x - 3√3 = (√3/2)x - 3√3

x = 6/3.5

x = 12/7

y = √3(12/7) - 3√3

y = 3√3/7

So P is located at (12/7, 3√3/7).

Now use the distance formula to find the length of CP:

CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²

CP² = (33/7)^2 + (6√3/7)^2

CP² = 1089/49 + 72/49

CP² = 1161/49

CP = √1161/7

Therefore, the length of CP is (approximately) 3.43.

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The required weight of a hippo in pounds is given as 3,000 pounds.

What is a unit of measurement?

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
One ton is equal to 2,000 pounds, so a hippo that weighs 1.5 tons would weigh,

1.5 tons × 2,000 pounds/ton = 3,000 pounds

Therefore, the hippo at the zoo weighs 3,000 pounds.

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Answer:

C is the correct answer

Answer:

B

Step-by-step explanation:

I think

The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.

This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.

However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.

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The side lengths of the triangle are:

Longer side= 36m, shorter side= 27m and hypotenuse=45m

Here, we have,

Let x be the longer leg of the triangle

According to the problem, the shorter leg of the triangle is 9 shorter than the longer leg, so the length of the shorter leg is x - 9

The hypotenuse is 9 longer than the longer leg, so the length of the hypotenuse is x + 9

We know that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we can use the Pythagorean theorem:

(x + 9)² = x² + (x - 9)²

Expanding and simplifying the equation:

x² + 18x + 81 = x² + x² - 18x + 81

x²-36x=0

x=0 or, x=36

Since, x=0 is not possible in this case, we consider x=36 as the solution.

Thus, x=36, x-9=27 and x+9=45.

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The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.

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Answer:

5/2 cm

Step-by-step explanation:

Given that:

Area of triangle = 25/12 cm

Height of triangle = 5/3 cm

Let,

Length of the base = b

Recall :

Area of a triangle = 1/2 * base * height

Substitute the values above into the equation :

25 /12 = 1/2 * b * 5/3

25 /12 = 5b/ 6

Using cross multiplication

25 * 6 = 12 * 5b

150 = 60b

Divide both sides by 60 to isolate b

150/60 = 60b / 60

b = 5/2 cm

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The number -32 as given in the task content can be concluded to belong to the following set of number types; Integers.

The set of numbers which the number given -32 in the task content is; Integer values.

Although, the set of real numbers consists of all numbers except for complex numbers. However, the number, -32 given belongs to the set of Integers (whole number values).

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Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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Answer:

Step-by-step explanation:

The value of the investment multiplier is 5.

Given that:

Consumption function: C = c0 + c1(Y − T)

Investment function: I = I0 − m(r)

Government spending: G = G0

Tax revenue: T = t0 + t1Y

Where, C = Consumption

GDP = Y = C + I + G

Disposable income = Y − T

Private saving = Y − T − CG

= Government spending

I = Investment

t0 = autonomous tax component

t1 = endogenous tax component

m(r) = investment multiplier

Finding the equilibrium values of GDP, consumption, disposable income, and private saving

To find the equilibrium values, we need to set Y = GDP,

C = Consumption, T = Tax revenue and

S = Private Saving.

So, Y = C + I + GY = c0 + c1(Y − T) + I0 − m(r)GDP

= (c0 + I0 + G0 + t0) + (c1 − m(r))Y − t1Y.

GDP = \([c0 + I0 + G0 + t0] / [1 − (c1 − m(r) + t1)]\)

Now, we need to calculate the value of consumption and private saving

Disposable income = Y − T

Disposable income = Y − (t0 + t1Y)

Disposable income = (1 − t1)Y − t0

Consumption = c0 + c1(Y − T)

\(= c0 + c1(1 − t1)Y − c1t0\)

Private saving = \((1 − t1)Y − (t0 + c0 + c1(1 − t1)Y − c1t0)\)

Private saving = \((1 − c1)(1 − t1)Y + (c0 − c1t0)\)

The expression of the investment multiplier in terms of c0 and/or c1 is:

\(ΔY / ΔI = 1 / [1 − c1 + m'(r)]\)

The values of c0 and c1 are 48 and 0.6, respectively.

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The value of angle YAC in the intersecting chords AB and AY is determined as 31 degrees.

option A.

The value of angle YAC is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

From the diagram, we will have the following equation;

m∠YAC = ¹/₂ ( arc BY) (interior angle of intersecting secants)

m∠YAC = ¹/₂(62)

m∠YAC = 31 degrees

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Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

Answer:

-3

Step-by-step explanation:

x intercept is the point which the line crosses the x axis which is the vertical one.

Hope this helped!

If you have questions i am happy to converse about it in the comments

Answer:

b

Step-by-step explanation:

Answer:

El alemán debe recorrer de la ciudad B a la ciudad A para llevar los cilindros de gas de cloro.

Step-by-step explanation:

De acuerdo con este problema, tenemos un ángulo y dos lados adyacentes, por tanto, podemos determinar la distancia entre las ciudades A y B, medida en kilómetros, por la Ley del Coseno, definida como sigue:

\(AB = \sqrt{AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C}\) (1)

Donde:

\(AC\) - Distancia entre las ciudades A y C, medida en kilómetros.

\(BC\) - Distancia entre las ciudades B y C, medida en kilómetros.

\(C\) - Ángulo en la ciudad C, medida en grados sexagesimales.

Si tenemos que \(AC = 5\,km\), \(BC = 8\,km\) y \(C = 36^{\circ}\), entonces:

\(AB = \sqrt{(5\,km)^{2}+(8\,km)^{2}-2\cdot (5\,km)\cdot (8\,km)\cdot \cos 36^{\circ}}\)

\(AB \approx 4,927\,km\)

El alemán debe recorrer de la ciudad B a la ciudad A para llevar los cilindros de gas de cloro.

A.  3            

B. 0                

C. 1

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