what is the median of 5,5,8,15

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}\)

Step-by-step explanation:

Let the number be 'x'

\( \sf{ \frac{x}{3} = - 8}\)

Apply cross product property

\( \dashrightarrow{ \sf{x = - 8 \times 3}}\)

Multiplying positive and negative integers gives a negative integer

\( \dashrightarrow{\sf{x = - 24}}\)

Hope I helped!

Best regards! :D

Answer:

x^2-2

Step-by-step explanation:

(x^4+x^2-6)÷(x^2+3)

(x^-2) (x^2+3)

       x^2-2

Answer:

3rd answer

Step-by-step explanation:

It is an open circle and it has to be less than 15 and since it is a positive it is to the right

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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The correct order in greatest to least is A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.

Ordering the numbers from greatest to least: 5, π, √2, 0.76, -2, ½

To order the numbers from greatest to least we need to check all the numbers given and then we specify the smallest and largest value corresponding to the given numbers. Also ordering can be done in ascending order from least to greatest value which is increasing order.

If we want to specify the descending order for the given numbers the order of ascending will be totally reversed. Then we will get the numbers from greatest to the least in order which means decreasing order.

Therefore, the answer is (A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.

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The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Answer:

As this is a super-serious totally relevant question, I will do my best to answer.

Explanation:

This has been erroneously mislabeled as mathematics instead of English because this is clearly a grammar problem.

The first error is capitalization at the beginning of the sentence.

You aint even saying why is yes you chould try explaining it better next time.

The second problem is the punctuation in multiple places. An apostrophe is needed in aint to make it ain't, and a period is needed after yes. Because of that period, you must capitalize that second you.

You ain't even saying why is yes. You chould try explaining it better next time.

The next error is a missing word to improve cohesiveness and make the sentence grammatically correct. You must add it after why.

You ain't even saying why it is yes. You chould try explaining it better next time.

The final thing to fix is a simple misspelling. Should was typed as chould which can be fixed with the easy changing of a single letter.

You ain't even saying why it is yes. You should try explaining it better next time.

And there we go! Your sentence has been corrected and it is now a grammatically correct and well-written sentence.

Answer:

301+

Step-by-step explanation:

The answer can be anything above 300. This means the answer could be 301, or 400, or 350000000000, any of those are correct.

Answer:

  C) no: The packs of socks are marked up to $7 and then discounted to $4.20

Step-by-step explanation:

You want to know the price of a $5 pair of socks after markup by 40%, and again after that price is marked down 40%.

When the $5 cost is marked up by 40%, the resulting price is ...

  $5 + 0.40×5 = $5 +2 = $7.

The socks are marked up to $7.

When the $7 price is marked down by 40%, the resulting price is ...

  $7 - 0.40×7 = $7.00 -2.80 = $4.20

The socks are discounted to $4.20.

Natiοnal Incοme statistics = Tοtal Rent + Tοtal Wages + Tοtal Interest + Tοtal Prοfit. gοοds and services prοduced in a cοuntry during a year is οbtained, which is called tοtal final prοduct. This represents Grοss Dοmestic Prοduct ( GDP ).

Natiοnal incοme is the tοtal incοme earned by all individuals and businesses in a cοuntry in a specific periοd οf time, usually a year. It includes all fοrms οf incοme such as wages, salaries, prοfits, rents, and interest earned. Natiοnal incοme is an impοrtant measure οf a cοuntry's ecοnοmic perfοrmance, as it reflects the tοtal οutput and incοme generated within the cοuntry's bοrders.

Natiοnal incοme statistics are calculated by measuring the tοtal value οf gοοds and services prοduced within a cοuntry during a given periοd οf time, typically οne year. The fοllοwing are sοme οf the key cοmpοnents οf natiοnal incοme statistics:

Grοss Dοmestic Prοduct (GDP): This is the tοtal value οf all gοοds and services prοduced within a cοuntry's bοrders in a given periοd οf time. It is calculated by adding up the value οf all final gοοds and services prοduced in a cοuntry during the year.

Grοss Natiοnal Prοduct (GNP): This is similar tο GDP, but alsο includes the value οf gοοds and services prοduced by a cοuntry's citizens and cοmpanies abrοad.

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Tο get system B, the secοnd equatiοn in system A was replaced by the sum οf the equatiοn and the first equatiοn multiplied by -3. The sοlutiοn tο system B is the same as the sοlutiοn in system A.

A system οf equatiοns in algebra cοnsists οf twο οr mοre equatiοns and lοοks fοr cοmmοn answers tο the equatiοns. "A cοllectiοn οf equatiοns fulfilled by the same set οf variables is called a system οf linear equatiοns." Finding the values οf the variables emplοyed in a system οf equatiοns entails sοlving the set οf equatiοns. By keeping the equatiοns balanced οn bοth sides, we cοmpute the values οf the unknοwn variables. Finding the value οf the variable that makes the cοnditiοn οf all the prοvided equatiοns true is the primary gοal when sοlving an equatiοn system.

Tο get system B, the secοnd equatiοn in system A was replaced by the sum οf the equatiοn and the first equatiοn multiplied by -3. The sοlutiοn tο system B is the same as the sοlutiοn in system A.

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Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Answer:

240

Step-by-step explanation:

5(x² - 1)

5 ((-7)² - 1)

5(49 - 1)

5 (48)

Hence, we have proved that G/Z(G) ≅ Z2 ⊕ Z2 and we have drawn the Cayley table for G/Z(G).

Let G be a group and G/Z(G)| = 4.

We want to prove that G/Z(G) ≅ Z2 ⊕ Z2 and also draw the Cayley table for G/Z(G).

Firstly, let's consider G/Z(G) and Z(G), the center of G. By definition, every element of Z(G) commutes with every element of G.

Therefore, if we divide G by Z(G), we obtain a group in which all elements commute with one another. This is because all elements of the form gz where g is an element of G and z is an element of Z(G) commute with one another, so the quotient group G/Z(G) is abelian (meaning all elements of the group commute with one another).

We can assume that G is finite and hence |G/Z(G)|=|G|/|Z(G)|=4.

This means that |Z(G)|=|G|/4.

Let's consider the prime factorization of |G|.|G/Z(G)|=|G|/|Z(G)|=4 implies that |G| is divisible by 4.

Let p be a prime that divides |G|. Then, p|4. This implies that p=2.

Hence, |G| is divisible by 2. We can say that |G|=2k, where k is some positive integer.

Therefore, |Z(G)|=k/2.

Now let's consider the group homomorphism f: G→G/Z(G), defined by f(g)=gZ(G) (the coset of g in G/Z(G)).

This is a surjective group homomorphism with kernel Z(G).f: G → G/Z(G)where f(g) = gZ(G)

The first isomorphism theorem implies that G/Z(G) is isomorphic to G/Z(G), so we haveG/Z(G) ≅ G/Z(G)We have |G/Z(G)|=4, so G/Z(G) is either Z4 or Z2 ⊕ Z2.

Let's prove that it is not Z4.Suppose that G/Z(G) is isomorphic to Z4. This would mean that there is an element gZ(G) in G/Z(G) of order 4.

In other words, (gZ(G))^4=Z(G), which implies that g^4 is an element of Z(G). Since every element of Z(G) commutes with every element of G, this would imply that g commutes with every element of G.

But then g would be in Z(G), which contradicts the fact that gZ(G) generates G/Z(G).Therefore, G/Z(G) is isomorphic to Z2 ⊕ Z2.

Now let's draw the Cayley table for G/Z(G):The Cayley table for a group of order 4 must have four rows and four columns, and each row and column must contain exactly one of the four elements of the group.

We know that G/Z(G) is isomorphic to Z2 ⊕ Z2, so we can write the elements of G/Z(G) as (0,0), (0,1), (1,0), and (1,1), where each coordinate is an element of Z2.

The Cayley table is as follows:

40 1 2 30 (0,0) (0,1) (1,0) (1,1)1 (0,1) (0,0) (1,1) (1,0)2 (1,0) (1,1) (0,0) (0,1)3 (1,1) (1,0) (0,1) (0,0)

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The description of the parts of the expression are

The expression is given as:

1/2(2a + 1)(a + 3)

The above expression has three factors and the factors are 1/2, 2a + 1 and a + 3

This means that the entire expression is the product of three factors

Also, we have:

2a + 1

The above expression is a sum expression, and the terms are 2a and 1

This means that on its own, (2a+1) is a sum with two terms

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Complete question

Consider the expression 1/2(2a + 1)(a + 3)

Complete 2 descriptions of the parts of the expression.

The entire expression is the product of

On its own, (2a+1) is a sum with

answer two terms and three factors have a good day friends!

Step-by-step explanation:

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

y - 8 ≤ -27

Step-by-step explanation:

The difference of y and 8 is less than or equal to -27

y - 8 ≤ -27

Answer:

C. -2 degrees

Step-by-step explanation:

Answer:

the answer would be c. -2 degrees

Step-by-step explanation:

3 - 5 = -2

have a great day

since BD is the bisector of abc, both angles abd and cbd are equal to each other. The first step is to find the x, then you fill it in, in one of the angles. So:

5) 3x+6= 7x-18

3x-7x=-18-6

-4x=-24

x=6

angle abd: (and cbd)

(3×6+6)°

=(18+6)°

=25°

angle abc:

2×abd=50°

6) -4x+33=2x+81

-4x-2x=81-33

-6x= 48

x= -8

angle abd (and cbd):

(-4×-8+33)°

= (32+33)°

=65°

angle abc:

2×abd

= 130°

Answer:

First gardener 6 min

Second gardener 4 min

Third gardener 3 min

Step-by-step explanation:

The first step is to multiply and then what number is it multiplied by then that is your answer.

Answer:

x=12

Step-by-step explanation:

square root both sides of the equation to undo the square which gives you: x-7=5

add 7 to both sides

x=12

Answer:

Step-by-step explanation:

x - 7 = 5

x-7= + 5

x-7 = -5

x = 2

x= 12

your answer is :

x^1 = 2 , x^2 = 12

Answer:

D. -3 < x

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x

-15/5 < 5x/5

-3 < x

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Using the mode concept, according to the stem-and-leaf plot, the missing value is of 71.

It is the value that appears the most times in the data-set.

In this problem, following the key format of the stem-and-leaf plot, disconsidering the missing value, the values 71 and 64 each appear 3 times.

However, the mode is 71, meaning that is should appear more times than 64, which means that the missing value is of 71.

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Answer:

The missing value is 71

Step-by-step explanation:

The solution to the equation −3 + 5a = 4a − 10 is a = -7.  

First, we will start by subtracting 5a from both sides of the equation. This is the inverse operation of adding 5a to both sides. By subtracting 5a, the left side of the equation becomes -3 and the right side of the equation becomes -10.

=>−3 + 5a -5a = 4a - 5a − 10

=> -3 = -a - 10

So, we will add 3 to both sides of the equation. This will make the left side of the equation 0, and the right side of the equation -7.

=> -a = 7

Now that the equation reads a = -7, we can use the inverse operation of multiplication, which is division, to get the variable a on one side of the equation and the numbers on the other side.

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Complete Question:

Equations w/ variable on both sides Solve each equation.

1) −3 + 5a = 4a − 10

The area lying outside r=2cosθ and inside r=1 cosθ area is given as - (3/2) ​π.

We can find the area lying outside r = 2cosθ and inside r = 1 cosθ area can be determined by subtracting the area enclosed by r=2cosθ from the area enclosed by r=1 cosθ and setting the limit of integration to 0 and 2π.

We can find The area enclosed by r=1 cosθ  by integrating the given equation by limits of 0 and 2π and the equation can be given as:

= 1/ 2×​∫[0 2π]​ (1cosθ)²dθ

= 1 / 2​π

We can find The area enclosed by r=2cosθ by integrating the given equation by limits of 0 and 2π and the equation can be given as

= 1 / 2 ​∫[02π]​(2cosθ)²dθ

= 2π

By subtracting the area enclosed by r = 1 cosθ from the area enclosed by r=2cosθ we can get the area lying outside r=2cosθ and inside r=1 cosθ is 1 / =1 / 2π - 2 π

= - 3/2​π

Therefore, The area lying outside r=2cosθ and inside r=1 cosθ is - 3/2​π

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Answer:

553

Step-by-step explanation:

              5  5    3

     ---------------------

16  /  8   8   4    8

        8   0

      ---------------

              8   4

              8   0

             ----------------

                    4    8

                     4   8

                   -----------

                            0

The quotient is 553.

                     4   8

                    ----------

                           0

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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