helppp meeee pleaseee!!!

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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The expression x² - 81 is a difference of squares because it can be factored into (x + 9)(x - 9).

To determine whether the expression is a sum of cubes, difference of cubes, or difference of squares, we need to analyze its form and factorization. The expression x² - 81 can be rewritten as (x)² - 9², which is a difference of squares because it follows the form a² - b².

The difference of squares formula states that a² - b² can be factored as (a + b)(a - b). In this case, a is x and b is 9. Therefore, we can rewrite x² - 81 as (x + 9)(x - 9).

The difference of squares formula is used to factorize expressions of the form a² - b², where a and b are real numbers. Understanding these different types of algebraic expressions and their factorization forms is useful for simplifying and solving equations.

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

In the first sequence,

let's take ratio of the next term with its preceding term, so we will get the common ratio ~

\(\qquad \sf  \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)

So, we can imply that The next term of the sequence is 1/4 times the previous term.

hence, the unknown term will be 1/4 times of previous term.

Therefore, the next term here is 1

In the second sequence,

Do the same procedure as above, we will get common ratio as :

\(\qquad \sf  \dashrightarrow \: \cfrac{18}{6} = 3\)

So, the next term is 3 times the preceding term, that is :

Therefore, the next term is 162

Based on the given information, the regression that represents the estimated production function model for firm output in the industry is:

c. log(Q1) = 10.74 + 0.032 Li

The regression equation in option c represents a logarithmic relationship between the output (Q1) and the number of workers employed (Li). Taking the logarithm of the output variable allows for a more flexible functional form and captures potential diminishing returns to labor.

In the regression equation, the constant term (10.74) represents the intercept or the level of output when the number of workers is zero. The coefficient of 0.032 (0.032 Li) indicates the relationship between the logarithm of output and the number of workers employed.

Since the question states that employing another worker leads to a 32 percent increase in output, this aligns with the coefficient of 0.032 in the regression equation. It suggests that a 1 percent increase in the number of workers (Li) leads to a 0.032 percent increase in output, which is equivalent to a 32 percent increase.

Therefore, the regression equation in option c best represents the estimated production function model in this scenario.

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We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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1. The value of x and y are 3 and 12 3/7 respectively

2. The value of x and y are 5 and 12 1/2 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

5x-7y = -72 equation 1

3x+7y = 96 equation 2

add equation 1 and 2

8x = 24

x = 24/8

x = 3

substitute 3 for x in equation 1

5(3) -7y = -72

-7y = -72-15

y = 87/7

y = 12 3/7

2. -2x+10y = 25 equation 1

2x -3y = 10 equation 2

add equation 1 and 2

7y = 35

y = 35/7

y = 5

substitute 5 for y in equation 1

-2x + 50 = 25

-2x = -25

x = 25/2

x = 12 1/2

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Answer:

36%

Step-by-step explanation:

9÷25

Answer:

36%

Step-by-step explanation:

Good luck kiddos :)

Answer:

if 5x + 2 = 7x - 7 then the answer is x = 9/2.

To set up the equation for the length of each supporting cable (d) as a function of the angle θ, we can use trigonometry.

The supporting cables form right triangles with the ground, where the tower serves as the height (h) of the triangle, and the length of the supporting cable (d) is the hypotenuse. The angle θ is the angle between the supporting cable and the ground.

Step-by-step process to set up the equation:

Step 1: Identify the Relevant Trigonometric Function

Since we know the height (h) of the triangle and the angle θ, we can use the trigonometric function "cosine" (cos) to relate the angle θ to the length of the supporting cable (d).

Step 2: Write the Equation

The cosine function relates the adjacent side (h) and the hypotenuse (d) of the right triangle:

cos(θ) = h / d

Step 3: Isolate the Variable (d)

To find the length of the supporting cable (d), we need to isolate the variable (d) on one side of the equation:

d = h / cos(θ)

Now, we have the equation that gives us the length of each supporting cable (d) as a function of the angle θ.

b. To find d when θ = 60° and when θ = 50°:

Step 4: Substitute the Values of h and θ into the Equation

In the given problem, the height (h) is given as 100 ft above the ground. We'll use this value to find d for θ = 60° and θ = 50°.

For θ = 60°:

h = 100 ft

θ = 60°

d = h / cos(θ)

d = 100 ft / cos(60°)

Using the value of cosine for 60° (cos(60°) = 0.5√3), we get:

d = 100 ft / (0.5√3) ≈ 115.47 ft (rounded to two decimal places)

For θ = 50°:

h = 100 ft

θ = 50°

d = h / cos(θ)

d = 100 ft / cos(50°)

Using the value of cosine for 50° (cos(50°) ≈ 0.64279), we get:

d = 100 ft / 0.64279 ≈ 155.67 ft (rounded to two decimal places)

So, when θ = 60°, the length of each supporting cable (d) is approximately 115.47 ft, and when θ = 50°, the length of each supporting cable (d) is approximately 155.67 ft.

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To model the length (d) of each supporting cable as a function of the angle (θ) that it makes with the ground, we can use trigonometry.

As mentioned before, the supporting cables form right triangles with the ground, where the tower serves as the height (h) of the triangle, and the length of the supporting cable (d) is the hypotenuse. The angle θ is the angle between the supporting cable and the ground.

Step-by-step process to derive the model:

Step 1: Identify the Relevant Trigonometric Function

Since we know the height (h) of the triangle and the angle θ, we can use the trigonometric function "cosine" (cos) to relate the angle θ to the length of the supporting cable (d).

Step 2: Write the Equation

The cosine function relates the adjacent side (h) and the hypotenuse (d) of the right triangle:

cos(θ) = h / d

Step 3: Isolate the Variable (d)

To find the length of the supporting cable (d), we need to isolate the variable (d) on one side of the equation:

d = h / cos(θ)

Now we have the equation that gives us the length of each supporting cable (d) as a function of the angle θ.

Step-by-step process to find d when θ = 60° and θ = 50°:

Given: h = 100 ft (height above the ground)

For θ = 60°:

θ = 60°

d = h / cos(θ)

d = 100 ft / cos(60°)

Step 4.1: Calculate the value of cos(60°):

cos(60°) = 0.5

Step 4.2: Substitute the value of cos(60°) into the equation:

d = 100 ft / 0.5

d = 200 ft

So, when θ = 60°, the length of each supporting cable (d) is 200 ft.

For θ = 50°:

θ = 50°

d = h / cos(θ)

d = 100 ft / cos(50°)

Step 4.3: Calculate the value of cos(50°):

cos(50°) ≈ 0.64279

Step 4.4: Substitute the value of cos(50°) into the equation:

d = 100 ft / 0.64279

d ≈ 155.67 ft (rounded to two decimal places)

So, when θ = 50°, the length of each supporting cable (d) is approximately 155.67 ft.

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The probability that all four piles have exactly one Ace is 1 / (13 * 17 * 50 * 49), which is approximately 0.00014424.

To find the probability that all four piles have exactly one Ace, we can consider the number of ways to distribute the Aces and the total number of possible distributions.

There are 4 Aces in the deck, and each pile should receive exactly one Ace. The first Ace can be placed in any of the 52 cards, the second Ace in any of the remaining 51 cards, the third Ace in any of the remaining 50 cards, and the fourth Ace in any of the remaining 49 cards.

So, the total number of possible distributions is 52 * 51 * 50 * 49.

To calculate the probability, we need to divide the number of favorable outcomes (where all piles have exactly one Ace) by the total number of possible distributions.

Since each Ace can be distributed to any of the 4 piles, the number of favorable outcomes is 4 * 3 * 2 * 1.

Therefore, the probability is (4 * 3 * 2 * 1) / (52 * 51 * 50 * 49), which simplifies to 1 / (13 * 17 * 50 * 49).

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Answer:

A. 2

Step-by-step explanation:

It would be a triangle. There's no other way unless you used a point in between a and b

Answer:

to?

Step-by-step explanation:

Strictly speaking, to say that an apple is red means that B) it appears red.

When we say that an apple is red, strictly speaking, it means that it appears red.

The color we perceive is not an inherent property of the apple itself, but rather the result of how light interacts with the apple's surface and how our eyes perceive that interaction.

The color we see is a subjective experience influenced by various factors, such as lighting conditions, our perception of color, and any color deficiencies we may have.

While an apple may reflect and absorb certain wavelengths of light that we interpret as "red," it's important to recognize that color perception is subjective and can vary from person to person.

The statement "an apple is red" acknowledges that our perception of color is based on the appearance of the apple rather than making an absolute statement about its inherent color.

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

y=12 .

180-106=74

74+3y+22+4y=180

96+7y=180

7y=84

y=12

4×12 = 48

Step-by-step explanation:

Good luck dear ;)

Answer:

-3

Step-by-step explanation:

The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)

The y-value is what we are looking for, which is -3.

-Chetan K

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

Correct Answer:

96 and 42

Answer: 96 and 42

Step-by-step explanation:

X+y=138

X-y=54

2x=192

X=192/2
x=96

y=138-96

y=42

First, let's calculate the z-score for the value 2.025 liters using the formula:

z = (x - μ) / σ

Where:

x = the value we want to calculate the probability for (2.025 liters)

μ = the mean of the process (2.050 liters)

σ = the standard deviation of the process (0.020 liters)

Plugging in the values:

z = (2.025 - 2.050) / 0.020

Simplifying:

z= -0.025 / 0.020

z = -1.25

Now, we can look up the probability corresponding to a z-score of -1.25 in the standard normal distribution table or use a calculator.

Using a standard normal distribution table, the probability is approximately 0.1056. This means that the probability of randomly selecting an output from the process that is less than 2.025 liters is approximately 0.1056 or 10.56%.

Alternatively, you can use a calculator or statistical software to find the probability directly by looking up the cumulative distribution function (CDF) of the standard normal distribution at -1.25. The result will also be approximately 0.1056 or 10.56%.

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The result of the operation is -1.594×10⁻²).

To solve the given expression, we start by dividing 3.25×10⁻⁴ by 8.012×10⁻²). This can be done by dividing the coefficients (3.25 ÷ 8.012) and subtracting the exponents (10⁻⁴ ÷ 10⁻²).

The division of the coefficients gives us 0.4047, and subtracting the exponents gives us 10 (-4-(-2)) = 10⁻² = 0.01. Therefore, the division of the two numbers results in 0.4047 × 0.01 = 0.004047.

Next, we subtract 2.000×10⁻² from the result obtained above. This is done by subtracting the coefficients (0.004047 - 2.000) and keeping the same exponent (-2).

Performing the subtraction gives us -1.995953, and the common exponent remains -2. Therefore, the final result is -1.995953 × 10⁻² = -1.594×10⁻².

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Answer:

length of a regular hexagon's sides is using the following formula: s = P ÷ 6, where P is the perimeter of the hexagon, and s is the length of any one of its sides.

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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The value of x after executing the last statement is still 10.

After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.

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Based on the information given, it is possible to analyze the effectiveness of the new anxiety medicine. The medicine was formulated to lower anxiety and was prescribed to participants.

The participants were divided into three groups, where 20 received a 10 mg dosage, another 20 received a 20 mg dosage, and the last 20 participants received a placebo.
After three weeks, a questionnaire was administered that measured anxiety on a scale of 1-30. To compare the groups, the mean score of anxiety for each group can be calculated. If the mean score for the group receiving the medicine is significantly lower than the mean score for the placebo group, it can be concluded that the medicine is effective.

Therefore, statistical analysis of the results would be necessary to determine if the new anxiety medicine is effective in lowering anxiety levels.
 Based on the provided information, the study has been formulated to evaluate the effectiveness of the anxiety medicine by comparing three groups of participants: one group receiving a 10 mg dosage, another receiving a 20 mg dosage, and the last group receiving a placebo. To determine if the new anxiety medicine is effective, it's essential to compare the average anxiety scores of each group after the 3-week period. If the scores in the groups receiving the medicine are significantly lower than the placebo group, it could suggest that the anxiety medicine is effective.

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Answer:

it is 80°

cause it is coming from the same cord AB

O and C will be same

Answer:

x = 40

Step-by-step explanation:

x = 80÷2 = 40

Central angle theorem

Answer:

(96–72)/12

24/12 = 2

D is the answer

Answer:

all of the expressions are probably random so I have no idea

Step-by-step explanation:

ratio =4:1

total= 4+1 =5

1/5 × 52= 10.4 years

Answer:

Step-by-step explanation:

let age of Shyam=x

age of Ram=x+4

x+x+4=52

2x=52-4=48

2x=48

x=48/2=24

age of Shyam=24 years

age of Ram=24+4=28 years.