As the sample size increases, does the range of the sample population also increase?

Step-by-step explanation:

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4x = -2x + 16

6x = 16

6x-16 = 0

The factorized form of the equation is A = -16 ( t + 1 ) ( t - 5 )

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = -16t² + 64t + 80

On factorizing the equation , we get

A = -16 ( t² - 4t - 5 )

On further simplification , we get

A = -16 ( t² + t - 5t - 5 )

A = -16 ( t ( t + 1 ) - 5 ( t + 1 ) )

A = -16 ( t + 1 ) ( t - 5 )

Hence , the factorized form is A = -16 ( t + 1 ) ( t - 5 )

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Answer:

The table shows that the highest level of education achieved among the 450 adults surveyed by the National Society of Acupuncturists was a bachelor's degree or higher, with 240 respondents having achieved this level of education. The next highest level of education was a high school diploma or equivalent, with 120 respondents having achieved this level. There were also 60 respondents with some college education but no degree, and 10 respondents with a graduate degree.

Based on this information, it appears that there is a positive correlation between education level and the belief that acupuncture is a reasonable form of medicine. This could be due to a variety of factors, such as increased exposure to scientific and medical knowledge through education, a more open-minded and skeptical approach to healthcare, or a greater willingness to try alternative therapies. It is important to note, however, that correlation does not necessarily imply causation, and there may be other factors at play that are not captured by this data.

The equation of the line is expressed in slope-intercept form as:

y = -8.2x - 60.6

The equation of a line that passes through point (8, 5) and has a slope of -8.2 can be written in slope-intercept form as y = mx + b, where we have:

m as the slope

b as the y-intercept.

Find the y-intercept by substituting x = 8, y = 5, and m = -8.2 into y = mx + b:

5 = -8.2(8) + b

5 = 65.6 + b

5 - 65.6 = b

b = -60.6

Substitute m = -8.2 and b = -60.6 into y = mx + b:

y = -8.2x - 60.6

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Answer:

All three of these functions have a domain of all real numbers.

The solution of the differential equation that satisfies the given initial condition is -1/L = k[t㏑t - t + 1] + 1/4.

Given is the differential equation is given as:-

dL/dt = kL²㏑t with initial condition L(1) = -4,

Now separate the variable and its derivative,

dL/L² = k㏑t dt

Integrating,

∫dL/L² = k∫㏑t dt + c

(-1/L) = k[t㏑t - ∫t·1/t dt] + c

-1/L = k[t㏑t - t] + c

Now apply the initial condition L(1) = -4,  

1/4 = k(-1) + c

c = 1/7 + k

Therefore, the solution is =

-1/L = k[t㏑t - t + 1] + 1/4

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The rule that describes the transformation is (x, y) → (y, -x)

We are given that;

The points (-2,5),(2,5),(2,1).

Now,

To rotate a point 90° clockwise with the origin as the center of rotation, we can use the following rule:

(x, y) → (y, -x)

This means that the x-coordinate of the original point becomes the y-coordinate of the new point, and the y-coordinate of the original point becomes the opposite of the x-coordinate of the new point.

For example, applying this rule to the point (-2, 5), we get:

(-2, 5) → (5, 2)

Therefore, by the transformation the answer will be(x, y) → (y, -x)

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Hypertension is known as the silent killer because often, early hypertension is asymptomatic. a systolic blood pressure of  140 mm Hg would make us concerned the patient was hypertensive.

Here, we know that Asymptomatic:

Any condition that a patient tests positive for but does not manifest any symptoms of is referred to in medicine as being asymptomatic. After a diagnosis, a medical illness may be deemed asymptomatic if no obvious symptoms emerge.

Absence of symptoms is referred to be asymptomatic. If your doctor says you are asymptomatic, this indicates you have a disease or condition but don't show any symptoms or outward indicators of being ill.

Instances of sickness that are symptom-free for all or part of the time are frequently referred to be asymptomatic. Pre-symptomatic, however, is a word sometimes used to describe patients that initially have no symptoms but later develop them.

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complete question:

Hypertension is known as the silent killer because often, early hypertension is asympotmatic. a systolic blood pressure of _____ would make us concerned the patient was hypertensive.

To factor 20w+30, we can first factor out the greatest common factor, which is 10:

20w+30 = 10(2w+3)

So the factored form of 20w+30 is 10(2w+3).

Answer:

10(2w+3)

Step-by-step explanation:

The standard deviation is 0.89

The correct answer is an option (d)

We know that the formula for the standard deviation is:

[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]

where x is the data value

P(x) is the expected value of x

μ is the mean expected value

x            P(x)             x.P(x)                    (x - μ)² . P(x)

1            4/10             4/10                          4/10

2            2/10             4/10                            0

3            4/10            12/10                          4/10

The mean value would be, 4/10 + 4/10 + 12/10 = 2

Using above formula, the standard deviation would be,

[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]

σ = √(4/10 + 0 + 4/10)

σ = √(8/10)

σ = 0.89

Therefore, the correct answer is an option (d)

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Find the complete question below.

The Euler path of the given graph is CDBFADF.

A path in a finite graph known as an Euler path is one that traverses each edge precisely once while yet allowing for the revisiting of vertices.

A similar Euler trace that begins and finishes at the same vertex is known as an Euler circuit or cycle. When Leonhard Euler found a solution to the Seven Bridges of Konigsberg puzzle in 1736, it was first brought up for discussion.

A path known as an Euler path is one that utilises every edge in the graph once and only once. It doesn't have to return to the starting point because it is a path.

A circuit that utilises every edge in the diagram once is known as an Euler circuit. As it is a circle, it should start and terminate at the same vertex

The euler path of the given graph is CDBFADF.

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Step-by-step explanation:

r=26

t=3

d=rt

d=26×3

d=78

The percentage of saline solution in brand B is 3%. Then the correct option is B.

Let x be the percent of saline solution in brand B.

Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.

Thus, we can set up the equation:

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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Answer:

136.95

Step-by-step explanation:

hope u understand

Using the system of equations, the number of adults and the number of children who were committed are 140 and 104 respectively.

Given that,

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Let x be the number of adults and y be the number of children who were admitted.

On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars.

We get a system of equations,

x + y = 244

4x + 1.5y = 716

From the first equation,

y = 244 - x

Substituting this to second equation,

4x + 1.5(244 - x) = 716

4x + 366 - 1.5x = 716

2.5x = 350

x = 140

y = 244 - x = 104

Hence the number of children equals 104 and the number of adults equals 140.

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The coordinates of the vertices for the image triangle after a translation 3 units up are A'(-3, 6), B'(0, 10), and C'(-3, 3). (option b)

Let's first visualize the given triangle ABC with vertices at A(-3, 3), B(0, 7), and C(-3, 0). We can plot these points on a coordinate plane and connect them to form the triangle. Now, let's consider the translation that moves the triangle 3 units up. This means that we need to add 3 to the y-coordinate of each vertex to get the coordinates of the image.

So, the coordinates of the vertices of the image triangle, let's call it A'B'C', will be:

A' = (-3, 3+3) = (-3, 6)

B' = (0, 7+3) = (0, 10)

C' = (-3, 0+3) = (-3, 3)

Now, we can plot these points and connect them to form the image triangle A'B'C'. We can see that the image triangle is simply the original triangle translated 3 units up.

Hence the correct option is (b).

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Answer:

Option B

Step-by-step explanation:

Answer:

312 cm^2

Step-by-step explanation:

(6x24)+2(24x7/2)

144+168= 312

The probability that the customer is served by Charter with market share of 30% is equal to 34.9%.

Let A be the event that the customer is served by Charter,

and B be the event that the customer is experiencing an internet speed of 12Mbps.

Probability of A given B, which can be written as P(A|B).

Use Bayes' theorem to find P(A|B),

P(A|B) = P(B|A) × P(A) / P(B)

P(A) = 0.3 (the market share of Charter)

and P(B) = P(B/A) × P(A) + P(B / A') × P(A'),

where P(A') = 1 - P(A) = 0.7 (the market share of Xfinity).

P(B|A), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Charter,

All speeds between 7Mbps and 15Mbps are equally likely.

This implies, the probability of experiencing a speed of 12Mbps given Charter is,

P(12Mbps/A) = 1 / (15Mbps - 7Mbps)

                     = 1 / 8

P(B|A'), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Xfinity,

All speeds between 10Mbps and 20Mbps are equally likely.

This implies, the probability of experiencing a speed of 12Mbps given Xfinity is,

P(12Mbps|A') = 1 / (20Mbps - 10Mbps)

                     = 1 / 10

Now substitute all the values into Bayes' theorem,

P(A|B) = P(B|A) × P(A) / [P(B|A) × P(A) + P(B |A') × P(A')]

= (1/8) × 0.3 / [(1/8) × 0.3 + (1/10) × 0.7]

= 0.349

Therefore, the probability that the customer is served by Charter given that they are experiencing an internet speed of 12Mbps is 0.255, or about 34.9%.

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It takes the object 3(3/4) seconds to travel the full distance of the trip.

We have,

The object moves at a constant speed, so we can use the formula:

distance = speed x time

Let d be the full distance of the trip, and t be the time it takes the object to travel that distance.

We can write the proportion as:

(1/20) / (3/4) = d / t

Simplifying the left-hand side:

(1/20) x (4/3) = d / t

1/5 = d / t

Now, we can solve for t by multiplying both sides by 5:

t x (1/5) = d x (1/5)

t = d/5

Now,

The time it takes the object to travel the full distance of the trip is equal to the distance divided by 5.

So, the object takes 5 times as long to travel the full distance as it takes to travel 1/20 of the distance.

And,

The time it takes the object to travel the full distance is:

t = (5 x 3/4) seconds

t = 15/4 seconds

t = 3 3/4 seconds

Therefore,

It takes the object 3 3/4 seconds to travel the full distance of the trip.

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The complete question:

An object moves in a straight line at a constant speed. The object moves 1/20 of the way in 3/4 of a second. At that speed, how many seconds does it take the object to travel the full distance of the trip?

The similarity ratio between the two octagons is 1:2 (Option b).

To begin, we need to know that similar figures have the same shape, but they may differ in size. For instance, we can have two octagons with different areas but the same shape. In this case, we are given that the two octagons are similar, and we are given the areas of the two octagons.

Let the similarity ratio between the two octagons be "x". For areas, we know that the ratio of the areas of two similar figures is the square of their similarity ratio. Therefore, we can set up the following equation:

x² = (Area of smaller octagon) / (Area of larger octagon)

Substituting the given areas, we get:

x² = 4 / 16    

x² = 0.25

Taking the square root of both sides, we get:

x = √0.25

x = 0.5

Therefore, the similarity ratio between the two octagons is 1:2 (Option b).

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Answer:
79.95 yards.

Step-by-step explanation:

Each board is 16 feet long and there are 3 feet in 1 yard. So, each board is 16/3 = 5.33 yards long (rounded to two decimal places).

If Steven has 15 yards of these boards, the combined length of the boards in yards is 15 times the length of each board, which is 15 x 5.33 = 79.95 yards (rounded to two decimal places).

Therefore, the combined length of the boards in yards is approximately 79.95 yards.

The degree of vertex B is 3.

Given is a figure we need to find the degree of vertex of point B,

So, the degree of a vertex is the line segment connected by it,

The point B is connected by three segment, FB, AB, CB.

Hence, the degree of vertex B is 3.

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Answer:

We don't know the initial value of the principal but we do know that the accumulated value is double (twice) the principal. It takes 9.9 years for money to double if invested at 7% continuous investment

Step-by-step explanation:

The smallest number among the given options is (a) -1. This is because -1 is a negative number and is less than zero, while the other options are either positive or greater than zero. (b) -1/2 is greater than -1, (c) 0 is neither positive nor negative, and (d) 3 is greater than both -1 and -1/2. Therefore, the correct answer is (a) -1.

Answer:

A is correct

Step-by-step explanation:

its correct be cause negative is less than 0

its like being in dept

The total cost of your eulerization is 111.

We can Eulerize a graph by ensuring  to add edges to the graph in a way that preserves its connectivity while ensuring that all vertices have even degree.

A good method to do this is by  adding  edges between pairs of vertices that have odd degree until all vertices have even degree.

We have to add all the edges to get the total cost

10+15+20+4+9+3+17+14+19

111

Hence, the total cost of your eulerization is 111.

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The value of the function f(1/2) for the f(x) = 2 / 5 x- 5 / 2 is equal to -2.3.

Function is equal to,

f(x) = 2 / 5 x- 5 / 2

To get the value of f ( 1 / 2 ) .

Substitute the value of x equals to ( 1 / 2 ) we get,

f(x) = (2 / 5 ) x- ( 5 / 2 )

This implies,

f ( 1 / 2 ) = ( 2 /5 ) × ( 1 / 2 ) - ( 5 / 2 )

⇒ f ( 1 / 2 ) = ( 1 / 5 ) - ( 5 / 2 )

Take the least common multiple of 5 and 2 we get,

least common multiple of 5 and 2 is 10.

⇒ f ( 1 / 2 ) = ( 2  - 25 ) / 10

⇒ f ( 1 / 2 ) = -23 /10

⇒ f ( 1 / 2 ) = -2.3

Therefore, the value of f(1/2) for the given function is equal to -2.3.

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The above question is incomplete, the complete question is:

Consider the function: ƒ(x) = 2/5 x- 5/2 find the value of f( 1/2)?

The quadratic equation in the given graph can be written as:

y = -3*(x + 2)^2 + 4

We can see a quadratic equation that opens downwards and we can see that the vertex is at (-2, 4), then if the leading coefficient is a, we can write this as:

y = a*(x + 2)^2 + 4

We can also see that the parabola passes through (0, -8) replacing these values we will get:

-8= a*(0 + 2)^2 + 4

-8 - 4 = a*4

-12/4 = a

-3 = a

Then the quadratic equation is

y = -3*(x + 2)^2 + 4

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In the given diagram, the total surface area of the composite figure is 361.28 square yards

From the question, we are to calculate the total surface area of the given composite shape

In the composite shape, we have a cone and a hemisphere

The total surface area of the composite figure = Surface area of the hemisphere + Curved surface area of the cone

Surface area of the hemisphere = 2πr²

Where r is the radius

Curved surface area of a cone = πrl

Where r is the radius

and l is the slant height

In the given diagram,

Using the Pythagorean theorem,

l² = 12² + 5²

l² = 144 + 25

l² = 169

l = √169

l = 13 yd

Radius of cone and hemisphere = 5 yd

Total surface area of the composite figure = 2πr² + πrl

Substituting the parameters

Total surface area of the composite figure = 2π(5)² + π(5)(13)

Total surface area of the composite figure = 50π + 65π

Total surface area of the composite figure = 115π

Total surface area of the composite figure = 361.28 yd²

Hence,

The total surface area is 361.28 square yards

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Answer:

Step-by-step explanation:

i believe the answer is 1270