The following are the ages of 30 patients seen in the emergency room of a hospital on a Friday night. Construct a stem-and-leaf display from these data. Describe these data relative to symmetry and skewness as discussed in Exercise 2.3.1. part h. 35 32 21 43 39 60 36 12 54 45 37 53 45 23 64 10 34 22 36 45 55 44 55 46 22 38 35 56 45 57

Answer:

In you're question, you mention a "supply schedule shown in the table below," but there is no attached image. Please ask you question again, this time adding the table.

The solution is Option D.

The graph of the function after a vertical stretch of 5 is given by the equation g ( x ) = 5 ( 7ˣ )

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = 7ˣ

The function f ( x ) is stretched vertically by a factor of 5

Let the new function be represented as g ( x )

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

So , the value of the function g ( x ) is given by the equation

g ( x ) = 5 ( f ( x ) )

g ( x ) = 5 ( 7ˣ )

Hence , the function is g ( x ) = 5 ( 7ˣ )

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Answer:

Step-by-step explanation:

Let x be the first number, then x + 1 is the second, then x + 2 is the third number.

The required equation to show the sum is:

Solve for x:

The numbers are 33, 34 and 35

A falling stone is at a certain instant 178 feet above the ground and 3 seconds later it is only 10 feet above the ground. The stone was dropped from a height of approximately 14.75 feet.

To find the height from which the stone was dropped, we can use the equations of motion.

Determine the time taken to fall from 178 feet to 10 feet.

The time taken can be calculated using the equation h = (1/2)\(gt^2\),

where h is the height, g is the acceleration due to gravity (approximately 32 ft/\(s^2\)), and t is the time.

Rearranging the equation,

we have t = \(\sqrt{((2h)/g)\). Substituting the values,

we get t = \(\sqrt{((2 * 168) / 32)\) ≈ 2.06 seconds.

Calculate the initial height.

Since the stone fell for 3 seconds after being at a height of 178 feet,

we subtract the time taken in step 1 from the given time.

Thus, the stone took 3 - 2.06 ≈ 0.94 seconds to fall from the initial height to 178 feet.

Using the equation h = (1/2)\(gt^2\) and substituting the values,

we get h = (1/2) ×32×\((0.94)^2\)≈ 14.75 feet.

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Answer: Its 11w9+10w+5

Step-by-step explanation:

The correct matching relating the correlation coefficients are given as follows:

A correlation coefficient is an index that measures the association between multiple variables.

The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.

Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.

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Answer:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

The height of the tree after 6 weeks = 711.5 centimeters or 7.115 meters

Step-by-step explanation:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

We are told that the tree is 7 meters tall today = a1

We convert to centimeters

1m = 100cm

7m =

Cross Multiply

= 7 × 100cm

= 700cm

And it grows at an average of 2.3cm per week = 2.3

Hence, an = a1 +(n - 1)d

We are to find the height of the tree after 6 weeks

a6 = 700 + (6 - 1) 2.3

a6 = 700 + (5)2.3

a6 = 700 + 11.5

a6 = 711.5cm.

We can convert to meters if we like

= 100 cm = 1 m

711.5 cm =

711.5cm/100

= 7.115m

The height of the tree after 6 weeks is 711.5 cm or 7.11 meters

The term which is used to describe an agreement or social institution within (more or less) in a specific environmental issue-area is called the international environmental regime.

The international environmental regime is a term that is used to describe an agreement or social institution with (more or less) agreed-upon principles, norms, rules, decision-making procedures, and programs that govern the activities and shape the expectations of actors in a specific environmental issue area.

The agreement in decisions, laws, regulations, principles and norms in a particular place at a time is the international environmental regime.

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Hope this works, let me know if you didn't understand it

Answer:

the y is y=mx+b

Step-by-step explanation:

if this helps say also have a brillint day

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

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Answer:

hi

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Answer:

The given statement is,

(3 * 4) * 6 = 3(4 * 6)

To find (3 * 4) * 6

(3 * 4) * 6 = 12 * 6 = 72

To find 3(4 * 6)

3(4 * 6) = 3 * 24 = 72

Step-by-step explanation:

The result of these two expression is same.

Therefore we can conclude that,

Therefore the correct answer is,

The grouping of the factors is changed but the product is the same.

BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE

The height of the apartment building across the street can be determined by using trigonometric ratios. Given the angle of elevation and the angle of depression, we can calculate the height of the apartment across the street.

Let's denote the height of the apartment building across the street as 'h'. From the given information, we have two right-angled triangles. In one triangle, the window height is the opposite side, and the height of the apartment across the street is the adjacent side with respect to the angle of elevation. In the other triangle, the window height is the opposite side, and the height of the apartment across the street minus 32 meters is the adjacent side with respect to the angle of depression.

Using the trigonometric ratios, we can write the following equations:

1. tan(36°) = h / 32   (using the angle of elevation)

2. tan(47°) = (h - 32) / 32   (using the angle of depression)

From equation (1), we can solve for 'h' as h = 32 * tan(36°). Substituting this value into https://brainly.com/question/29156330 (2), we get tan(47°) = (32 * tan(36°) - 32) / 32. Solving for 'h' will give us the height of the apartment building across the street.

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the smallest composite number that can be written as a product of four different prime numbers is 6

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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When the L shape attached is rotated about the origin (0, 0) by 90° counterclockwise it would look like option C.

A shows a rotation of 90°  clockwise about (0,0)

B shows a rotation of 180° about (0,0)

C shows a rotation of 90° anticlockwise about (0,0)

D shows a rotation of 90° anticlockwise, but the center of rotation is (1,1)

Recall that Rotation in math is a transformation that involves rotating a figure around a fixed point called the center of rotation by a certain angle in a clockwise or counterclockwise direction.

Thus, Option C above is the right answer.

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Rounding to the nearest tenth, the area of the sector is approximately 3.4 square meters.

The area of a sector of a circle can be found using the formula:
Area = (θ/2π) * πr²
where θ is the central angle and r is the radius of the circle.
In this case, the radius is given as 3.2 m and the central angle is 2π/3.
Substituting these values into the formula, we get:
Area = (2π/3 * 1/2π) * π(3.2)²
Simplifying further, we have:
Area = (1/3) * 3.2²
Calculating the value, we get:
Area ≈ 3.4133 square meters
Rounding to the nearest tenth, the area of the sector is approximately 3.4 square meters.

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Answer:

  (s, f) = (4.5, 2.25)

Step-by-step explanation:

You want the solution to the simultaneous equations ...

Writing these in general form, we have ...

  3s +2f -18 = 0

  2s +3f -15.75 = 0

Using the "cross-multiplication method" for solution, we find ...

  ∆1 = (3)(3) -(2)(2) = 5

  ∆2 = (2)(-15.75) -(3)(-18) = 22.5

  ∆3 = (-18)(2) -(-15.75)(3) = 11.25

  s = ∆2/∆1 = 22.5/5 = 4.5

  f = ∆3/∆1 = 11.25/5 = 2.25

The solution is (s, f) = (4.5, 2.25).

__

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The original number of students scheduled to go on the field trip was 600.

Let the original number of buses be "x" and each bus having "y" students, we can use algebra to solve for the number of students on the field trip.

It is given that; x*y = 600, that is, the original number of students is 600. When the organizer increases the number of buses by 4, the number of buses will be (x + 4), and the number of students per bus decreases by 5. We can express this as y - 5.

Hence, the new number of students will be 600 since no new students were added. We can represent this using the equation (x + 4) * (y - 5) = 600.

Substituting x*y = 600, we get x*(y-5) = (x + 4) * (y - 5).

Expanding the equation above, we get; xy - 5x = xy - 5y + 20.

Rearranging, we have 5x - 5y = 20. Dividing both sides by 5, we get x - y = 4.

Substituting xy = 600, we get x * (x - 4) = 600. Solving this quadratic equation, we get x = 24 or x = - 25.

We discard the negative solution. Therefore, the original number of students scheduled to go on the field trip was

24 * 25 = 600 students.

Therefore, the conclusion is that the original number of students scheduled to go on the field trip was 600.

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The percent error of Diane's estimated area measurement is 9%.

To find the percent error, we first calculate the actual area of the rectangular field:

Next, we calculate the estimated area based on Diane's measurements:

The absolute error is the difference between the actual and estimated areas:

The percent error is the absolute error divided by the actual area, multiplied by 100%:

Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%

Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.

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The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Horizontal pieces can be produced at a rate of 200 per labor hour.

A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.

You have 900 horizontal pieces and 50 vertical pieces in stock right now.

For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.

1.  Then at the end of the next hour, the number of vertical pieces available in stock will be

→ 50 - 22

→ 28

Thus, the number of verticle pieces will be 28.

2.  Then at the end of the next hour, then the number of horizontal pieces available in stock will be

→ 900 + 200 - 500

→ 600

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Answer:

  8Q1 +4Q2 ≤ 32

Step-by-step explanation:

You want to know Becky's budget constraint if she has a budget of $32 that she spends on Q1 movies at $8 each, and Q2 roller skating tickets at $4 each.

Becky's spending will be the sum of the costs of movie tickets and skating tickets. Each of those costs is the product of the ticket price and the number of tickets.

  movie cost + skating cost ≤ ticket budget

  8Q1 +4Q2 ≤ 32

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Answer: Let's assume Becky's budget is allocated as follows:

x: Quantity of movies (Q1)

y: Quantity of roller skating (Q2)

p1: Price of movies per person

p2: Price of roller skating per person

B: Budget

Given the following information:

Initial price of movies (p1) = $5 per person

Updated price of movies (p1') = $8 per person

Initial price of roller skating (p2) = $5 per person

Updated price of roller skating (p2') = $4 per person

Initial budget (B) = $32

We can calculate the maximum quantities of movies and roller skating using the formula:

Q1 = (B / p1') - (p2' / p1') * Q2

Q2 = (B / p2') - (p1' / p2') * Q1

Let's substitute the given values into the formula:

Q1 = (32 / 8) - (4 / 8) * Q2

Q2 = (32 / 4) - (8 / 4) * Q1

Simplifying the equations, we get:

Q1 = 4 - 0.5 * Q2

Q2 = 8 - 2 * Q1

These equations represent Becky's new budget constraint, considering the updated prices of movies and roller skating.

Therefore, the coefficient of determination for regression model is 0.8209, rounded to four decimal places.

The coefficient of determination, R-squared (r²), is a measure of how well a linear regression model fits the data. It tells us the proportion of the total variation in the response variable (y) that is explained by the linear regression model.

In order to calculate r², we first need to calculate the regression sum of squares (SSR) and the total sum of squares (SST). The regression sum of squares measures the amount of variation in the response variable that is explained by the regression model. The total sum of squares measures the total amount of variation in the response variable.

Once we have calculated SSR and SST, we can calculate r² as the ratio of SSR to SST. In this case, we are given the values of SSR and SST in the ANOVA table. We can calculate r² as:

r² = SSR/SST

= 24.5710256/29.93203039

= 0.8209 (rounded to four decimal places)

Therefore, the coefficient of determination, R-squared (r²), is 0.8209, which means that 82.09% of the total variation in the response variable is explained by the linear regression model. This is a relatively high value for r², which indicates that the model is a good fit for the data.

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The probability of getting a 7 is 1/13 and a black card is 1/2.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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The probability of getting a 7  \(\frac{1}{13}\) and a black card is \(\frac{1}{2}\).

What is a Probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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Answer:

how many blanks are their

Step-by-step explanation:

Answer: Even though an image was not provided, I would continue with 96, 100, 104, 108, 112, 116, and so on.

Step-by-step explanation:

92 + 4 = 96 + 4 = 100 + 4, and so on.

There's not really anything else to this.

The coordinates of D is (-8 , -16 ) when midpoint of CD lies at M, and the coordinates of C are (4,4). (-2,-6).

Given that,

The midpoint of CD lies at M, and the coordinates of C are (4,4). (-2,-6).

We have to find what are point D's coordinates.

We know that,

A point's position on the x-y plane is indicated by its coordinates.

Since C's coordinates are as follows: (4,4)

the midpoint of CD is at M(-2,-6)

D's distance from the midpoint is the same as C's distance from the midpoint, M.

The distance between C and M is

(-2-4,-6-4)

(-6,-10)

This will provide the location of D when added to the midpoint.

(-2-6,-6,-10)

(-8,-16)

Therefore, The coordinates of D is (-8,-16) when midpoint of CD lies at M, and the coordinates of C are (4,4). (-2,-6).

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Answer:

(0,-29) x = 0, y = -29

Step-by-step explanation:

Answer:

x= - 29 over 9 - 1 over 9y, y

Step-by-step explanation: