"If the true proportion of registered Democrats at a large state university is 30 percent, a given random sample is likely to be somewhat close to 30 percent. How likely and how close can both be calculated from the size of the sample"
In other words, the smaller the group, the greater the variance (+/-30%) we should expect from the 30% Democrats statistic. The larger the group, the lower the variance. Considering our attendance experiment and looking at the chart on page 374, if we're sampling a group of 10 students, we can expect an error margin of +/- 30%, but if we’re looking at a group of 50 students, the error margin decreases to +/- 14%. Applying this to our experiment, can we be confident in the results we obtain from each group/category, especially if our class is only, say, 30 students total?

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: \(length^{2}\)

area of circle: \(\frac{radius^{2} * \pi }{y}\)

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

\(15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}\) ≈ 185.73009

hope it helps!

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The arrow creates two pulses that scan the area, each lasting for one second. During each pulse, the arrow scans a 3-meter radius circle, meaning that the arrow scans a total of six meters.

Sova's Recon Bolt ability is a powerful tool that can be used to gather information about enemy movements and positions. When fired, the arrow will stick to any surface it hits and then deploy two pulses that scan the surrounding area. Each pulse lasts for one second, during which the arrow scans a 3-meter radius circle. This means that the arrow will cover a total area of six meters.

It's worth noting that the Recon Bolt's scanning ability is not perfect, and there are certain areas where enemies can hide and avoid detection. For example, enemies can hide behind walls or in small crevices where the arrow cannot scan. Additionally, players can destroy the arrow before it completes its scanning, which can prevent it from revealing enemy positions.

Overall, the Recon Bolt is a valuable tool for gathering information in Valorant, but it requires careful use and strategic placement to be effective. By understanding how the arrow scans the surrounding area, players can use it to gain a tactical advantage and outmaneuver their opponents.

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Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

Answer:

7n

Step-by-step explanation:

Answer:

Step-by-step explanation:

Percentages are a powerful way to compare samples with different numbers of observations. By standardising measures using a scale of 0 to 100, samples can be compared quickly and easily. Any graph of the data, however, must include the full range of 0 to 100 to ensure that false impressions are not created.

Answer:

3 1/3 pizzas

Step-by-step explanation:

5 * (2/3) = 10/3 = 3 1/3 pizzas

Answer:

3 and 1/3 pizzas

is how many pizzas u need

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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In polygon, The sum of all interior angles of a triangle must be 180°.

In arithmetic, what is a polygon?

a) scaled copy of A with scale factor  1/2.

b) This is scale copy of polygon B with scale factor 2 .

c) Scaled copy of polygon C with scaled factor 1/4 .

the sum of all interior angles of a triangle must be 180° . So in option B sum of angles is 180.

50°  + 60°  + 70°  = 180°

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Answer:

2

Step-by-step explanation:

slope= (y2-y1)/x2-x1)

= (22-10)/(2--4)

= 12/(2+4)

= 12/6

=2

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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The conclusion is that the cross product is not associative, which means that (i×j)×j is not equal to i×(j×j).

To compute (i×j)×j, we first need to find i×j, which is the cross product of i and j. The cross product of i and j is a vector perpendicular to both i and j, and its direction can be determined using the right-hand rule. Since i and j are perpendicular unit vectors in the x-y plane, their cross product i×j is a vector pointing in the z direction, which can be written as k.

Now, we can compute (i×j)×j by taking the cross product of k and j. Since k is perpendicular to j, the cross product of k and j will be perpendicular to both k and j, which means it will be in the i direction. Therefore, (i×j)×j equals the vector i.

To compute i×(j×j), we first need to find j×j, which is the cross product of j with itself. Since the cross product of any vector with itself is the zero vector, j×j equals 0. Therefore, i×(j×j) equals the zero vector.

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In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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Answer:

71 inches

Step-by-step explanation:

two feet is 24 inches,

one yard is 36 inches.

11 + 24 + 36 = 71

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Tabitha uses 72 inches of trim for her craft project.

Two or more expressions with an Equal sign is called as Equation.

Given,

Tabitha used 3 different decorative trims for a craft project.

She cuts lengths of 11 inches, 2 feet and 1 yard.

We need to find how much trim did Tabitha used for project in inches.

So we have to convert feet to inches and yard to inches

1 feet =12 inches and 1 yard is 36 inches

Total trim used=12 inches+two feet+one yard

=12 inches+2(12 inches)+1(36 inches)

=12 inches+24 inches+36 inches

=72 inches

Hence Tabitha uses 72 inches of trim for her craft project.

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The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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9514 1404 393

Answer:

  367 miles per hour

Step-by-step explanation:

The speed of the faster train is half the total plus half the difference:

  s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

_____

Check

The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

_____

If you want an equation, you can let x represent the faster speed. Then the total is ...

  x + (x -10.9) = 723.1

  2x = 723.1 +10.9

  x = (723.1 +10.9)/2 = 367

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

The original figure is formed by the points:

To first make a reflection in the x-axis, we must follow the rule:

So, let's use this transformation with each point:

Finally, we're asked to transform these previous points using a reflection in the y-axis. To do this we must use the following rule:

So, using this rule for the points already reflected in the x-axis:

Finally, plot these points:

Answer:

36

Step-by-step explanation:

Answer:

36 sides

Step-by-step explanation:

To maximize profit without any restrictions, Gizmo Incorporated should produce 2 grams of flubber. If the government limits production to a maximum of 2 grams and Gizmo Inc. cannot avoid costs, they should still produce 2 grams of flubber. If Gizmo Inc. can avoid all costs by shutting down, they would choose not to produce any flubber (F = 0).

To maximize its profit, Gizmo Incorporated needs to determine the number of grams of flubber it should produce.

First, let's find the derivative of the cost function, C(F), with respect to F. The derivative will give us the rate of change of the cost with respect to the number of grams produced.

C'(F) = 12F^3 - 96F^2 + 228F - 136

Next, let's set C'(F) equal to 0 and solve for F to find the critical points.

12F^3 - 96F^2 + 228F - 136 = 0

Using a graphing calculator or factoring techniques, we can find that the critical points are F = 1 and F = 2.

To determine whether these critical points correspond to a maximum or minimum, we can use the second derivative test. Taking the derivative of C'(F), we get:

C''(F) = 36F^2 - 192F + 228

Evaluating C''(1), we find that it is positive, indicating a minimum. Evaluating C''(2), we find that it is negative, indicating a maximum.

Therefore, Gizmo Incorporated should produce 2 grams of flubber to maximize its profit.

Now, let's consider the scenario where the government limits the maximum production to 2 grams and Gizmo Inc. cannot avoid any of its costs by shutting down.

In this case, Gizmo Incorporated should still produce 2 grams of flubber because it is the maximum allowed quantity.

Now, let's consider the scenario where Gizmo Incorporated can avoid all of its costs by shutting down and choosing F = 0.

Since Gizmo Inc. can avoid all costs, it would be more profitable for them to shut down production and not produce any flubber (F = 0).

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Answer:

I would say b, but wait for another person to answer and confirm

Step-by-step explanation:

Answer:

your math questions send me

Answer: z = (57/ -p) - d

Step-by-step explanation:

By working with fractions, we will see that the amount that Rollie borrowed from his sister is $31.50.

Let's say that Rollie borrowed a quantity x.

The first month, Rollie returns one third of x + $3, so now he owes:

x - x/3 - 3 = (2/3)*x - 3

the second month returns another third of what he owes plus $3, so now he returns:

(1/3)*((2/3)*x - 3) + 3 = (2/9)*x + 2

So no he owes:

(2/3)*x - 3 - (2/9)*x - 2 = (4/9)*x - 5

Finally, on the third month he returns:

(1/3)*((4/9)*x - 5) + 3 = (4/27)*x - 5/3 + 3 = (4/27)*x + 4/3

Now he owes:

(4/9)*x - 5 -  (4/27)*x - 4/3 = (8/27)*x - 19/3

And that is equal to $3, what he owes at the end of the third month, so we need to solve:

(8/27)*x - 19/3 = 3

(8/27)*x = 3 + 19/3 = 28/3

Solving for x, we get:

x = (27/8)*(28/3) = 31.5

So Rollie borrowed $31.5 from his sister.

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The distance between the point (0,-4) to the line x-5y=10 is approximately 3.9 units .

To find the distance from the point (0,-4) to the line x-5y = 10, we need to follow these steps:

Step 1: Write the given equation of the line in slope-intercept form,

                          y = mx + b

where m is the slope of the line and

           b is the y-intercept.

          x - 5y = 10 or 5y = x - 10

          y = (1/5)x - 2

So, the slope of the line is m = 1/5 and the y-intercept is b = -2.

Step 2: Write the point slope form of the equation of a line.

The point-slope form of the equation of the line passing through (0,-4) with slope m is given by

              y - y1 = m(x - x1)

where (x1, y1) is the given point (0,-4).

So, the equation of the line passing through (0,-4) with slope m = 1/5 is given by

              y + 4 = (1/5)(x - 0)or 5y + 20 = x

Step 3: Find the intersection point of the two lines

We can find the intersection point of the two lines by solving the system of equations

              5y + 20 = x (1)y = (1/5)x - 2 (2)

             5((1/5)x - 2) + 20 = x  or x - 5 = x  or 5 = 0

This implies that the two lines are parallel and do not intersect.

Step 4: Find the perpendicular distance from the given point to the line.

The distance d between the point (0,-4) and the line x - 5y = 10 is the length of the perpendicular line segment that joins the point (0,-4) to the line.

The length of this line segment is given by the formula

                        |ax + by + c| / sqrt(a^2 + b^2)

where the given line is ax + by + c = 0 and the point (0,-4) is (x1,y1).

In our case, the line is x - 5y - 10 = 0, and the point is (0,-4).

So, the distance d between the point (0,-4) and the line x - 5y = 10 is

                           |(1)(0) + (-5)(-4) + 10| / sqrt(1^2 + (-5)^2)

                                                                  = |20|

sqrt(26) ≈ 3.9 units (rounded to one decimal place).

Therefore, the distance between the point (0,-4) to the line x-5y=10 is approximately 3.9 units (rounded to one decimal place).

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Answer:h

Step-by-step explanation:

The volume of the box is 432 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of the box is calculated as

Volume = Number of cubes * Volume of each cube

Where

Volume of each cube = 1 * 1 * 1

Volume of each cube = 1

Substitute the known values in the above equation, so, we have the following representation

Volume = 432 * 1

Evaluate

Volume = 432

Hence, the volume of the box is 432 cubic inches

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The length of the diameter of a circle with endpoints at points (-2, 87) and (18, 91) is  20.4 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-2, 87) and (18, 91) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-2 - 18)² + (87 - 91)²}

d =√{400 + 16}

d = √416

d = 20.4 units

The diameter has length 20.4 units

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Answer:

166

Step-by-step explanation:

30+30+12+12+41+41

=166

When two tangents intersects with another tangent, the both are equal in length I think.

The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

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Answer: d

Step-by-step explanation:

yw

Answer:

filthy Frank always told ppl who had anime pic where weeaboos