find the volume of each figure. round to the nearest tenth as needed. please show the work, will mark the brainliest.

Answer:

5509 yes votes

Step-by-step explanation:

We will start by adding together our ratio, so we know how many voters there were in a total ratio, so we can divide our total number of people by it, and then multiply it by the number of people who said yes (7 people).

Our ratio was 7:4, so adding those two numbers together gives us 11. Then, dividing 8657 by 11 gives us:

8657 / 11 = 787

Now, we will multiply 787 by 7, since that was the number of people who said yes:

787 * 7 = 5509

So, there were 5509 yes votes.

Hope this helped!

The eigenvalues of the matrix are -1,1,3 and the corresponding eigenvectors are [-1,2,2], [1,-1,-1], [1,1,1] respectively.

The matrix is given as

2 1 -1

3 2 -3

3 1 -2

To find the eigenvalues and eigenvectors of a matrix A, we need to solve the following equation:

Av = λv

where v is the eigenvector and λ is the eigenvalue.

So, we have

(2 1 -1) (x) = λ (x)

(3 2 -3) (y) (y)

(3 1 -2) (z) (z)

We can find the eigenvalues by solving the characteristic equation which is det(A-λI) = 0.

The characteristic equation for the above matrix is

(2-λ)((-λ-2)(-λ+1) - 2) - 3(1)(-λ+1) + 3(1)(-λ-2) = 0

Solving the above equation we get λ = -1,1,3

Now we can find the eigenvectors for each eigenvalue.

For λ = -1

(2 1 -1) (x) = -1 (x)

(3 2 -3) (y) (y)

(3 1 -2) (z) (z)

Solving the above equation we get x = -1, y = 2 and z = 2. So the eigenvector is [-1,2,2].

For λ = 1

(2 1 -1) (x) = 1 (x)

(3 2 -3) (y) (y)

(3 1 -2) (z) (z)

Solving the above equation we get x = 1, y = -1 and z = -1. So the eigenvector is [1,-1,-1].

For λ = 3

(2 1 -1) (x) = 3 (x)

(3 2 -3) (y) (y)

(3 1 -2) (z) (z)

Solving the above equation we get x = 1, y = 1 and z = 1. So the eigenvector is [1,1,1].

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Answer: 187.567 < 187.68

Step-by-step explanation:

0.6 is larger than 0.5 so 187.68 is bigger than 187.567

On solving the provided question we can say that the Volume of the sphere with radius 11.2 in is 5885 .

A sphere is a geometrical entity that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.

characteristics of a sphere

The symmetry of a sphere is flawless.

A polyhedron is not a sphere.

Each point on the surface is equally spaced from the center.

There is no surface of centers on a sphere.

The mean curvature of a sphere is constant.

The breadth and circumference of a sphere are fixed.

Radius of sphere = 11.2 in

Volume = 4 pi r ^ 2 = 4 X 3.14 X 11.2 X 11.2 = 5885 .

Volume of the sphere with radius 11.2 in is 5885 .

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On solving the provided question we can say that the Volume of the sphere with radius 11.2 in is 5885 .

A sphere is a geometrical entity that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.

characteristics of a sphere

The symmetry of a sphere is flawless.

A polyhedron is not a sphere.

Each point on the surface is equally spaced from the center.

There is no surface of centers on a sphere.

The mean curvature of a sphere is constant.

The breadth and circumference of a sphere are fixed.

Radius of sphere = 11.2 in

Volume = 4 pi r ^ 2 = 4 X 3.14 X 11.2 X 11.2 = 5885 .

Volume of the sphere with radius 11.2 in is 5885 .

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The order for the process of Statistcal Method will be Identify the research objective, Collect the data needed to Answer the Research question, Describe the data, and Perform Inference.

For any statistics method, we first must have an objective as to why are we conducting that research. Hence the first process has to be Identifying the research objective.

For any statistical method, samples need to be drawn to conduct statistic tests. This essentially requires data to work with. Hence, Collecting the data needed to Answer the Research question must be the next step.

After data is collected, numerous tests are possible to be performed on any set of data but to select the most appropriate statistic, we need to first understand the nature, range, and limitations of the data. Hence, the net step should be to describe the data.

The last step out of the available step would be to perform the inference since this is the only other step possible from the ones mentioned.

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a)The probability Space, S = {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6), (2, 1) (2, 2) (2,3) (2,5) (2,4),(2,6), (3,1) (3,2) ,(3,3), (3,4) (3,5)(3,6), (4,1) (4,2) (4,3) (4,4) (4,5) (4,6), (5,1) (5,2) (5,3) (5,4) (5,5) (5,6),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5),(6,6)}

b) i) Probability that the sum of the rolls is even, P(A) = 0.5

ii)Probability that first roll is equal to the second, P(B) 0.166

iii) Probability that the first roll is larger than the second, P(C) = 0.4166.

We have a pair of dice are rolled, then the Sample space is same as probability space.

a) The probability space , S is a non-empty set contains all possible outcomes. The probability space is written as

S = {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6), (2, 1) (2, 2) (2,3) (2,5) (2,4),(2,6), (3,1) (3,2) ,(3,3), (3,4) (3,5)(3,6), (4,1) (4,2) (4,3) (4,4) (4,5) (4,6), (5,1) (5,2) (5,3) (5,4) (5,5) (5,6),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5),(6,6)}

b) Total possible outcomes from rolling = 36

Let us consider the events,

A : sum of the rolls is even

B : first roll is equal to the second

C : first roll is larger than the second.

Now, favourable outcomes for event A = 18

i) Probability (Sum is even), P( A) = 18/36

= 0.5

Favourable outcomes for event B = 6 = { (1,1),(2,2),(3,3),(4,4), (4,1) (4,2) (4,3), (5,5),(6,6)}

ii) So, Probability that first roll is equal to the second, P(B) = 6/36 = 0.166

Favourable outcomes for event C = 15 = { (2,1),(3,2),(3,1),(4,1),(5,1) (5,2) (5,3) (5,4),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5)}

iii) So, probability that the first roll is larger than the second, P(C) = 15/36

= 0.4166.

Hence, we get all required probabilities.

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The probability of P(Sum is even)=0.5, P(the first roll is equal to the second)=[tex]\frac{1}{6}[/tex], P(the first roll is larger than the second)=0.4167.

A pair of dice are rolled

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur.

a) Sample space,

[tex]$$\begin{aligned}S= & \left\{\begin{array}{l}(1,1)(1,2)(1,3)(1,4)(1,5)(1,6) \\(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\end{array}\right. \\& (3,1)(3,2)(3,3)(3,4)(3,5)(3,6) \\& (4,1)(4,2)(4,3)(4,4)(4,5)(4,6) \\& (5,1)(5,2)(5,3)(5,4)(5,5)(5,6) \\& (6,1)(6,2)(6,3)(6,4)(6,5)(6,2)\}\end{aligned}$$[/tex]

(b).

(i).The probability of each of the following events

Probability of event to happen

⇒P(Sum is even)=[tex]\frac{18}{36} =\frac{1}{2}[/tex]=0.5

⇒P(Sum is even)=0.5

(ii). P(the first roll is equal to the second)=[tex]\frac{6}{36} =\frac{1}{6}[/tex]

⇒P(the first roll is equal to the second)=[tex]\frac{1}{6}[/tex]

(iii). P(the first roll is larger than the second)=[tex]\frac{15}{36}=0.4167[/tex]

⇒P(the first roll is larger than the second)=0.4167

Therefore, the P(Sum is even)=0.5, P(the first roll is equal to the second)=[tex]\frac{1}{6}[/tex], P(the first roll is larger than the second)=0.4167.

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6  is the length of segment AC in right-angled triangle .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

               Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

  let length of AC is x

   BC + CD = AC + DE

  4 + 8 = X + 6

     12 = X + 6

       X = 6

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The area for the trapezoid is 35 square inches. Last option

The formula for the decomposition method of finding trapezoid is given as: ( x + y ) / h

The variables are given as

x = 3

y = 4

h = 5

we would have to fix the values into the formula in order to get the area of the trapezoid

Hence we would have

( 3 + 4) * 5

7 * 5

= 35 square units

Hence the area of the trapezoid by decomposition is given as 35 square units.

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The equation of the line passing through the points (0, 3) and (-5, 0) is y = -3/5 x + 3

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

Here,

To find the equation of the line passing through the points (0, 3) and (-5, 0), we can use the slope-intercept form and the slope formula:

m = (y2 - y1) / (x2 - x1) = (0 - 3) / (-5 - 0) = -3/5

where (x1, y1) = (0, 3) and (x2, y2) = (-5, 0) are the coordinates of the given points.

Now we can substitute the value of m and the coordinates of one of the points into the equation of the line to find the value of b:

y = mx + b

3 = (-3/5)*0 + b

b = 3

So the equation of the line passing through the points (0, 3) and (-5, 0) is:

y = -3/5 x + 3

We can also convert the equation to point-slope form as :

y - y1 = m(x - x1)

y - 3 = (-3/5)(x - 0)

y - 3 = -3/5 x

y = -3/5 x + 3

Hence, the equation of the line passing through the points (0, 3) and (-5, 0) is y = -3/5 x + 3

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A graph which could represent a cubic function include the following: C. Graph C.

In Mathematics, a function is a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

In Mathematics, a cubic function is sometimes referred to as a cubic polynomial and it can be defined as a type of polynomial in which the degree of the highest term (coefficient or exponent) is equal to three (3).

In this context, we can reasonably infer and logically deduce that a graph that represents a cubic function is graph C because it models this polynomial y = x³.

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Answer: i) dy/dx of x = 1

ii) dy/dx of xy = y

iii) dy/dx of y = 2y

iv) dy/dx of xy = 2xy

Step-by-step explanation:

The length of the midsegment of 28. is 17 units and 29. is 27 units.

A line drawn by joining the midpoints of any two of the triangle's sides is known as the midsegment. All three sides of a triangle can be divided in half, with the midpoint being the point that is equally spaced from either vertex, regardless of whether the triangle is a right triangle, isosceles triangle, or sometimes an equilateral triangle.

If the slope and sides are same then we can cut the midsegment ad paste it such that it becomes an rectangle.

28. Now the length of the rectangle = n + 12 + n + 12 = 4n + 6 + 2n - 2

⇒ 2n + 24 = 6n +4

⇒ 20 = 4n

⇒ n = 20/4

⇒ n = 5

Length of midsegment = 5 + 12

                                       =  17 units

29. Now the length of the rectangle = 2n+ 11 + 2n+ 11 = 5n - 2 + n + 8

⇒ 4n + 22 = 6n + 6

⇒ 16  = 2n

⇒ n = 16/2

⇒ n = 8

Length of midsegment = 2(8) + 11

                                       =  27 units

Thus, he length of the midsegment of 28. is 17 units and 29. is 27 units.

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The numeric values of each function at x = 3 are given as follows:

f(3) = 50.

g(3) = 10.

The division is given as follows: f(3)/g(3) = 5.

The space of f(x)/g(x) is given as all genuine values with the exception of x = - 7, as the function g(x), which is the denominator of the division, expects a worth of 0 at x = - 7.

To track down the numeric worth of a function or of articulation, we supplant each example of the variable in the function or in the articulation with the worth at which we need to track down the numeric worth.

Subsequently, the numeric values are found to supplant the solitary example of x by 3 in each function, as follows:

f(3) = 5(3) + 35 = 15 + 35 = 50.

g(3) = 3 + 7 = 10.

Subsequently, the division is given as follows:

(f/g)(3) = f(3)/g(3) = 50/10 = 5.

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Researchers frequently select a level of significance of 0.05. The reason for this is that if we chose a lower threshold of significance, we will have less room to reject the null hypothesis and so a higher likelihood of making a type 2 error.

On the other hand, if the degree of significance is higher, more type 1 errors are made, leading us to reject the hypothesis even though it is correct. Therefore, 0.05 is a balanced level that is neither significantly greater nor significantly smaller. The health care and nutrition-related industries are mostly included in some of the studies where we require a lower level of importance. This type of industry has a higher error rate, which causes more fatalities and negative side effects.

We can use a higher level of relevance in a variety of circumstances, such as the entertainment and marketing-related industries. The reason for this is that even if there are more potential for error, it won't harm the person; instead, it just affects the information, which we can assess using common sense.

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Answer:

1.23 calculator on cellphone do have that apps

Answer: 1.23

Step-by-step explanation: To find this answer, we need to move the decimal place. So, the 7 will move 1 place to the right of the 7, and then the decimal place will move to the right of the 8. So, now it should look like this:

[tex]\frac{08.61}{7}[/tex]

Then, divide using long division. You should get 1.23. To check, you can multiply 1.23 by 7, to get the dividend, 0.861. I hope this helped!

A graph of each function is shown in the image attached below.

The number of commercials (x) is equal to 7 commercials while the number of movies (y) is equal to 2 movies.

In order to graphically solve the system of equations, we would write two (2) equations that models the situation by assigning variables to the number of commercials and number of movies respectively, and then translate the word problem into algebraic equation as follows:

Since Victoria would earn $40 every time one of her songs is played in a commercial and $140 every time one of her songs is played in a movie, an equation which models it is;

40x + 140y = 560

Additionally, Victoria earned a total of $560 in royalties on 9 commercials and movies;

x + y = 9

Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (7, 2) as shown in the image attached below.

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Two equivalent fractions to 2/25 are given as follows:

4/50 and 8/100.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

Two fractions are called equivalent when the ratio between their numerators and denominators is the same.

The fraction in this problem is defined as follows:

2/25.

To obtain an equivalent fraction, we multiply both the numerator and denominator by the same constant, hence:

The problem asks for two equivalent fractions to 2/25.

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Answer: 3

Step-by-step explanation: Whenever we have midsegment, the length of it is half of the base which is 30 so 5x =15.

For p = (3, 5), the value of - 3p is (- 9, - 15).

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The values are,

⇒ p= (3, 5) and q = (-2, 10)

Now, We can find the value of - 3p as;

⇒ - 3 p

Substitute p = (3, 5) we get;

⇒ - 3 × (3, 5)

⇒ (3×- 3, - 3×5)

⇒ (- 9, - 15)

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The fifth term of the binomial expansion is; 76545x³y⁴

We are given the algebraic expression as; (3x - 3y)⁷

To solve this problem, we will make use of Pascals triangle which is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. Each new number will lie between two numbers and below them, and its value is the sum of the two numbers above it. It is expressed as;

                                 1

                        1              1

                 1              2              1

            1            3             3           1

      1         4             6            4           1

   1       5         10           10          5          1

1     6        15         20          15         6        1

1   7      21        35          35         21       7        1

Using binomial expansion, we have;

(3x - 3y)⁷ = 1(3x)⁷(-3y)⁰ + 7(3x)⁶(-3y)¹ + 21(3x)⁵(-3y)² + 35(3x)⁴(-3y)³ ...... 1(3x)⁰(-3y)⁷

= 2187x⁷ - 15309x⁶y + 45927x⁵y² - 76545x⁴y³ + 76545x³y⁴ - 45927x²y⁵......

The fifth term here is; 76545x³y⁴

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A man crosses a distance of 48 meters while going round a quadrilateral field twice. For 24 m cost of fencing the field is  $42.

Perimeter of the field is the total lengths of its boundary = 48/2 m = 24 m

For 1 m, cost of fencing the field = $1.75

Therefore, for 24 m cost of fencing the field = $(1.75 × 24) = $42

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Answer:

x ≥ -3 3/4

Step-by-step explanation:

-1/3x + 1/2 ≥ -3/4

1/3x ≥ -5/4

x ≥ -3 3/4

Answer:

y = 1/3x

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (3,1), we see the y increase by 1 and the x increase by 3, so the slope is

m = 1/3

The y-intercept is located at (0,0)

So, our equation is

y = 1/3x

The height define how long the attribute is and the width specify about the breadth of the attributes.

Given:

Arty's height is 63 inches.

Suppose Julian's height is x inches.

As Arty's height is 3 inches less than 1.5 times Julian's height.

⇒ 1.5x - 3 = 63

1.5x = 63 + 3

1.5x = 66

x = 44

Hence, the Julian's height is 44 inches.

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The required missing number is 51.02

Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4, ar5, .....

Given here the numbers 140,100,71.4, ,36.44

clearly 140/100=100/71.4=1.4

Thus the given set of numbers form a geometric progression with common ratio 1.4

Therefore the complete set of numbers are 140,100,71.4,51.02,36.44

Hence, the required numbers is 51.02

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Answer:

Step-by-step explanation

since they are complementary their angles should add up to 90.

18+(8x-28)=90

you solve from there

add common values

8x-10+90

add 10 to both sides

8x=100

divide by 8

x=12.5

The answer is:

Work/explanation:

Since we're given both angles, we can set up an equation and find x.

The sum of two complementary angles is 90°.

Now, set up the equation:

[tex]\sf{8x-28+18=90}[/tex]

[tex]\sf{8x-10=90}[/tex]

Add 10 on each side

[tex]\sf{8x=100}[/tex]

Divide each side by 8

[tex]\sf{x=12.5}[/tex]

Since the points on this graph represent a relationship between x- and y-values, a statement about the relationship which is true include the following: A, it cannot be proportional because the straight line through the points does not go through the origin.

In Mathematics, the graph of any proportional relationship between two (2) variables is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

By critically observing the graph which shows a relationship between the x-values and y-values, we can logically deduce that it does not start from the origin (0, 0) and as such, it does not represent a proportional relationship.

In this context, we can reasonably infer and logically conclude that cost is not proportional to area in the situation represented by this graph.

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Answer:

3

Step-by-step explanation:

3 can divide both 153 and 48

Answer: it will be improper

Step-by-step explanation:11/4

Answer:11/4

Step-by-step explanation:it is improper.