What is the definition median.

What is the median for the following set of data?

5, 7, 8, 10, 12, 12

A. 10

B. 7

C. 12

D. 9

What is the mean for the following set of data?

5, 7, 8, 10, 12, 12

9

7

10

12


What is the mean for the following set of data?

5, 7, 8, 10, 12, 12

A. 12

B. 9

C. 5

D. 7

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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According to the statement the values of θ that satisfy sinθ = sin(-2/3π) over the interval [0, 2π] are θ = 2π/3 and θ = 5π/3.

To solve this equation, we need to use the periodicity of the sine function. The sine function has a period of 2π, which means that the values of sinθ repeat every 2π radians.
Given sinθ = sin(-2/3π), we can use the identity that sin(-x) = -sin(x) to rewrite the equation as sinθ = -sin(2/3π).
We can now use the unit circle or a calculator to find the values of sin(2/3π), which is equal to √3/2.
So, we have sinθ = -√3/2. To find the values of θ that satisfy this equation over the interval [0, 2π], we need to look at the unit circle or the sine graph and find where the sine function takes on the value of -√3/2.
We can see that the sine function is negative in the second and third quadrants, and it equals -√3/2 at two points in these quadrants: π/3 + 2πn and 2π/3 + 2πn, where n is an integer.
Since we are only interested in the values of θ over the interval [0, 2π], we need to eliminate any values of θ that fall outside of this interval.
The smaller value of θ that satisfies sinθ = -√3/2 is π - π/3 = 2π/3. The larger value of θ is 2π - π/3 = 5π/3. Both of these values fall within the interval [0, 2π].
Therefore, the values of θ that satisfy sinθ = sin(-2/3π) over the interval [0, 2π] are θ = 2π/3 and θ = 5π/3.

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Answer:

help please i need helppppp

Answer:

60

Step-by-step explanation:

180 - 120 = 60

when dealing with interior and exterior angles, the highest is 180 degrees

Answer:

The factorization of -2bk^2 + 6bk - 2b is -2b(k^2 + 3k + 1).

Step-by-step explanation:

The factorization of -2bk^2 + 6bk - 2b is -2b(k^2 + 3k + 1).

Therefore, Pump B will have a longer average cycle time compared to Pump A.

To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))

Given:

Arrival Rate = 0.2 car per minute

Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1

Utilization can be calculated as the product of the mean effective process time and the arrival rate:

Utilization = Mean Effective Process Time * Arrival Rate

For Pump A:

Mean Effective Process Time (A) = 4 minutes

Squared-Coefficient of Variation for Pump A = 0.5

Utilization (A) = 4 * 0.2 = 0.8

For Pump B:

Mean Effective Process Time (B) = 3 minutes

Squared-Coefficient of Variation for Pump B = 5

Utilization (B) = 3 * 0.2 = 0.6

Now, let's calculate the cycle time for each pump:

Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))

= 5 minutes

Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))

= 2.5 minutes

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The graphed inequality is:

\(y \geq \frac{1}{3}*x - 1\)

We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:

y  ≥ line.

Now we need to get the linear equation.

It is of the form;

y = a*x + b

Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.

And knowing that the line passes through (0, -1) and (3, 0), the slope is:

\(a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}\)

Then the inequality is:

\(y \geq \frac{1}{3}*x - 1\)

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Answer:

Step-by-step explanation:

Option B) The cat weighs 4 kilograms when it is 7 months old.  is the correct answer.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, w gives the weight of the cat, in kgs, when it is "m" months old.

Since w gives weight in kilograms. It outputs weight when we tell the age in months,

thus,

w(7) means weight when the cat is 7 months old.

and w(7) = 4 represents that the cat weighs 4 kilograms when the age of the cat is 7 months.

Therefore, Option B) At 7 months old, the cat weighs 4 kg. is the right response.

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Answer:

Step-by-step explanation:

Proportional relationship formula is:

a) Use point (1, 3.5) to find k:

b) Unit rate is:

c) Point (8, 28) indicates:

d) x = 20, y =?

Answer:

Step-by-step explanation:

The answer is just 5

f(5)=5

Answer: 4:3

Step-by-step explanation:

The side length of the triangle is 48/3 = 16.

The side length of the square is 48/4 = 12.

So, the ratio is 16:12 = 4:3.

Answer:

the answer is 78*

Step-by-step explanation:

31 and 47 is 78...

i hope this helps

if do then thank me

i want to know if i am right

good luck

The measurement of WX in the given figure is 22.

When a set οf numbers is sοrted in size οrder, the median is the middle value. It is used tο define a set οf data by identifying the numerical midpοint and is a measure οf central tendency. When a grοup οf numbers is οrganized frοm smallest tο largest, the middle number is the οne that shοws up.

A trapezοid's median is the line that divides it intο twο equal sectiοns. The middle line οr the midline is anοther name fοr it. Its length is equal tο the average οf the twο bases οf the trapezοid and runs parallel tο thοse bases.

In the given trapezοid STUV, the length οf the bases ST and UV can be calculated by dividing the median in twο parts and fοlding it and jοining tο tο make a lοng rectangle.

Now the new rectangle is WW'SU where the median was 2wx

In a rectangle opposite side are equal, Therefore

W'W = US

W'W = 2WX

US = UV + ST

= 16 +28

= 44

2WX = 44

WX = 44/2

WX = 22

Thus, The measurement of WX in the given figure is 22.

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The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

D: 7x + 5y ≥ 200

Step-by-step explanation:

If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.

Answer:

65%

Step-by-step explanation:

65% of 2,000 = 1300

........

Answer:

Step-by-step explanation:

Would buy again customers are people satisfied.

Therefore we have

satisfied overall people surveyed

In numbers, this looks like

1300/2000

Simplifying we get

13/20

If you use a calculator then you can input this equation. However, if you want to be big-brained you can use simple math to get the decimal answer fast.

13/20 = (13•5)/(20•5) = 65/100 = 0.65

But if you need a percent value then you are not done!

0.65 is not a percent. To get a percent you multiply your fraction or decimal by 100. Therefore we get 0.65•100 = 65%

65% of people would buy the car again. Therefore 65% of people are satisfied with that car.

Answer:

1. B: the equation is always true

2. C (I'm pretty sure)

3. A: the equation is never true (y does not equal itself minus 4)

4. A: the equation is never true

The given statement "If you run for a seat in the House against the incumbent, the odds are very much against you." is True because The odds of winning a seat in the House against an incumbent are very much against you.

Incumbents have a significant advantage in elections due to name recognition, established political networks, and fundraising capabilities. Incumbents have built relationships with their constituents and have a track record to campaign on. They have also likely secured endorsements from influential groups, such as political parties, labor unions, and interest groups.

Incumbents also have the benefit of having staff members  manage their campaigns and legislative work, which frees them up to spend more time on fundraising and campaigning. Moreover, incumbents can use their position to obtain media coverage, especially during times of crisis. This increases their visibility and enables them to shape the narrative around their work. They may also use their access to government resources, such as staff and offices, to communicate with their constituents, giving them an edge over challengers.

All of these advantages make it difficult for challengers to win against incumbents. Challenging an incumbent requires significant resources, both financial and organizational, and a compelling campaign strategy. Even then, it is rare for challengers to overcome the incumbent advantage, making the odds very much against them.

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The equation of the line with the given slope and the y-intercept.

slope = 1/5; y-intercept = -5 is y = 1 / 5 x - 5

The equation of a line can be described as follows:

y = mx + b

where

Therefore,

slope of the line = 1 / 5

y-intercept = - 5

Hence, the equation of the line can be represented as follows:

y = 1 / 5 x - 5

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The product of 1. 61 and 63​ gives 101.43

The additive counterpart of given expressions are (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.

When two numbers may be added together or multiplied, regardless of the order in which they are entered, the result is said to be commutative. There are different formulas available for the conversion of multiplicative expressions to their additive counterparts.

a) The first expression is a²b³. This expression is written as aabbb. This is of the form ab and its corresponding additive counterpart is of the form a+b.

Then, a+a+b+b+b=2a+3b.

b) The second expression is a⁻²(b⁻¹c)². This expression is of the form a⁻¹ and its corresponding additive counterpart is of the form -a.

Then,

\(\begin{aligned}a^{-2}(b^{-1}c)^2&=a^{-1}a^{-1}(b^{-1}c)(b^{-1}c)\\&=-a-a-b+c-b+c\\&=-2a+2(-b+c)\end{aligned}\)

c) The third expression is (ab²)⁻³c²=e. This expression is first expanded as, (ab²)⁻¹(ab²)⁻¹(ab²)⁻¹c²=e. Using property, (xy)⁻¹=y⁻¹x⁻¹.

Then,

\(\begin{aligned}((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})c^2&=e\\(b^{-2}a^{-1})(b^{-2}a^{-1})(b^{-2}a^{-1})c^2&=e\end{aligned}\)

Also, the additive identity to e is zero. And, aⁿ=na.

Then,

(-2b-a)+(-2b-a)+(-2b-a)+2c=0

Simplifying we get,

-3(a+2b)+2c=0.

The answers are  (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.

The complete question is -

Translate each of the following multiplicative expressions into its additive counterpart. assume that the operation is commutative

a. a²b³

b. a⁻²(b⁻¹c)²

c. (ab²)⁻³c²=e

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(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

d

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with base angle being congruent, that is

∠ D = ∠ E , then

∠ D = \(\frac{180-133}{2}\) = \(\frac{47}{2}\) = 23.5°

The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

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Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5