In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes. The rest cast their votes to Ahmed, Babu and Chambuko in the ratio 3:2:1.If 30 votes were spoilt,how many votes did Ahmed get?​

Answer:

7 inches/5 yards = 105 inches/y yards

105 ÷ 7 = 15, so y = 5 × 15 = 75.

The actual park is 75 yards wide.

The five-number summary of the data include the following:

In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set, the five-number summary for the given data set include the following:

Minimum (Min) = 36.

First quartile (Q₁) = 38.

Median (Med) = 44.

Third quartile (Q₃) = 50.

Maximum (Max) = 60.

Read more on boxplot here: brainly.com/question/29648407

#SPJ1

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

Additional comment

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

Answer:

60

Step-by-step explanation:

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

Learn more about standard deviation here:-

https://brainly.com/question/23986929

#SPJ11

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

To learn more about box and whiskers plot refer to :

https://brainly.com/question/19969646

#SPJ1

Answer:

Step-by-step explanation:

Solve the equation for n:

The number is 80

Answer:

Number is 40

Step-by-step explanation:

Let the number be n

(n - 20)/2 = 30

(n - 20) = 2 × 30

n = (2 × 30) + 20

n = 60 + 20

n = 80

Answer:

A.

Step-by-step explanation:

Solve inequality:

\(x + 3x<24\\4x<24\\x<6\)

only one less than 6 is A. 5

Answer:

A

Step-by-step explanation:

(5) + 3(5) < 24

20 < 24

To solve the initial value problem y" + 4y = 4u_n(t), where y(0) = 0 and y'(0) = 1, we will follow these steps:

a. Find the Laplace transform of the solution y(t).

The Laplace transform of the given differential equation can be obtained using the properties of the Laplace transform. Taking the Laplace transform of both sides, we get:

s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 4U_n(s),

where Y(s) represents the Laplace transform of y(t) and U_n(s) is the Laplace transform of the unit step function u_n(t).

Since y(0) = 0 and y'(0) = 1, the equation becomes:

s^2Y(s) - s(0) - 1 + 4Y(s) = 4U_n(s),

s^2Y(s) + 4Y(s) - 1 = 4U_n(s).

Taking the inverse Laplace transform of both sides, we obtain the solution in the time domain:

y''(t) + 4y(t) = 4u_n(t).

b. Find the solution y(t) by inverting the transform.

To find the solution y(t) in the time domain, we need to solve the differential equation y''(t) + 4y(t) = 4u_n(t) with the initial conditions y(0) = 0 and y'(0) = 1.

The homogeneous solution to the differential equation is obtained by setting the right-hand side to zero:

y''(t) + 4y(t) = 0.

The characteristic equation is r^2 + 4 = 0, which has complex roots: r = ±2i.

The homogeneous solution is given by:

y_h(t) = c1cos(2t) + c2sin(2t),

where c1 and c2 are constants to be determined.

Next, we find the particular solution for the given right-hand side:

For t < n, u_n(t) = 0, and for t ≥ n, u_n(t) = 1.

For t < n, the particular solution is zero: y_p(t) = 0.

For t ≥ n, we need to find the particular solution satisfying y''(t) + 4y(t) = 4.

Since the right-hand side is a constant, we assume a constant particular solution: y_p(t) = A.

Plugging this into the differential equation, we get:

0 + 4A = 4,

A = 1.

Therefore, for t ≥ n, the particular solution is: y_p(t) = 1.

The general solution for t ≥ n is given by the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

y(t) = c1cos(2t) + c2sin(2t) + 1.

Using the initial conditions y(0) = 0 and y'(0) = 1, we can determine the values of c1 and c2:

y(0) = c1cos(0) + c2sin(0) + 1 = c1 + 1 = 0,

c1 = -1.

y'(t) = -2c1sin(2t) + 2c2cos(2t),

y'(0) = -2c1sin(0) + 2c2cos(0) = 2c2 = 1,

c2 = 1/2.

To learn more about inverse : brainly.com/question/30339780

#SPJ11

Answer:

angle 1 + angle 2 = 100

angle 1 = 40

angle 2 = 60

angle 3 = 120

Step-by-step explanation:

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

Find out more information about equation here:

https://brainly.com/question/14686792

#SPJ4

The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

Learn more about probability here: brainly.com/question/30034780

#SPJ11

Answer:

y = 95x (or: miles = 95 x hours)

Step-by-step explanation:

I) Analyze the data:

We can see that for every hour, the train travels 95 miles.

II) Construct the equation:

Let's represent the miles as y and the hours as x.

y = 95x

Step-by-step explanation:

Volume of cylinder

πr²h = π×(12)²×(18)

Choco : Vanilla : Strawberry

3 : 2 : 1

to find volume of strawberry,

\( \frac{1}{6} \times volume \: of \: cylinder\)

then use your calculator

Answer:

Actually i don't know what is the wanted but now

i will find the total of the teenagers.

Step-by-step explanation:

\( \frac{4000}{45\%} = \frac{x}{100\%} \\ x = \frac{4000 \times 100}{45} \\ x = 8889 \: \: teenagers\)

I hope that is useful for you :)

Answer:

this is tating the plant

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

y = -1/4x - 5/2.

Step-by-step explanation:

I am assuming you mean y = -1/4x + 5.

This has slope of -1/4 so the required equation has the same slope ( as they are parallel).

Using the point-slope form of the equation of a line:

y - (-3) = -1/4(x - 2)

y + 3 = -1/4(x - 2)

y = -1/4x + 1/2 - 3

y = -1/4x - 5/2

Answer:

Step-by-step explanation:

The mathematical translation of the statement:

\(\sqrt{121} = \sqrt{11 *11}\)

        \(= \sqrt{11^{2}}\)

        \(= (11^{2}) ^{\frac{1}{2} }\)

The indices will cancel each other out completely:

        \(= 11\)

OR:

\(\sqrt{121} = \sqrt{(-11)*(-11)}\)

        \(= \sqrt{(-11)^{2} }\)

        \(= [(-11)^{2}] ^{\frac{1}{2} }\)

        = -11

Answer: h (-6) = -28

Step-by-step explanation:

1. Plug -6 into x in the function: h(-6) = 5×(-6)+ 2

2. Solve: h(-6) = -30 + 2

h(-6) = -28!

I hope this helped :)

By substituting the given value of h into the function, the value of h(-6) is 28

Given the function :

To Obtian the value of h(x) for any given value of x ; substitute the value of x into the function ;

For h(-6) :

x = - 6

h(-6) = 5(-6) + 2

h(-6) = -30 + 2

h(-6) = - 28

Hence, the value of h(-6) is 28

Learn more : https://brainly.com/question/7390205

Answer:

Step-by-step explanation:

i think its a

Answer:

  115°

Step-by-step explanation:

You want the measure of angle S opposite angle (4x+5)° in an inscribed quadrilateral in which the other two angles are (5x-2)° and (7x+2)°.

The measure of an inscribed angle is half the measure of the arc it intercepts.

Two opposite angles in an inscribed quadrilateral intercept arcs that total the full circle.  Since the sum of double those angles is 360°, the sum of opposite angles of an inscribed quadrilateral is 180°—they are supplementary.

We can use this to find the value of x:

  (5x -2)° +(7x +2)° = 180°

  12x = 180 . . . . . . simplify

  x = 15 . . . . . . . divide by 12

Now, the angle opposite S can be found to be ...

  (4x +5)° = (4·15 +5)° = 65°

Angle S is the supplement of this:

  S = 180° -65°

  S = 115°

The number of coordinates needed to specify the position and orientation of a rigid body in an n-dimensional space is n.

A rigid body is an object that maintains its shape and size while in motion. In order to specify the position and orientation of a rigid body in an n-dimensional space, we need to know its coordinates in each of the n dimensions. The coordinates describe the location of the body in the space and the orientation of the body relative to the space's coordinate system. Thus, n coordinates are required to fully specify the position and orientation of a rigid body in an n-dimensional space.

However, it is important to note that if the rigid body is placed in a space that's non-Euclidean, other parameters could be necessary to fully describe the rigid body position and orientation.

To know more on rigid body

https://brainly.com/question/30192855

#SPJ4

The rule that was  used to translate the image Triangle EFG to E'F'G' is

T2,-4(x,y)

Given :

To find out the rule, we need to check the coordinates E  and E'

E is (-3,4)  and E' is (-1,0)

-3 + x = -1

x = -1 +3

   = 2

4 + y = 0

y = 4

So, we can say that 2 is added with x  and 4 is subtracted from y  to get E'

Let's check with F and F'

F(–5, –1)  and F’(–3, –5)

-5+2=-3

-1-4=-5

So the rule used to translate the image is T2,-4(x,y)

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C are represented as triangle ABC.

In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). This means that there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high-dimensional Euclidean space.

Learn more about Triangle here: https://brainly.com/question/1675117

#SPJ1

Answer:

-2

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

3x + 8 = 2

3x = -6

x = -2

Answer:

81

-125

Step-by-step explanation:

Answer:

D.17

Step-by-step explanation:

We are given that inequality

x<15

We have to find the number which is not a solution of the given inequality.

x<15

It means the values of x which is less than 15.

A.-6

-6<15

Therefore, it is the solution of given inequality.

B.-2

-2<15

Therefore, it is the solution of given inequality.

C.11

11<15

Therefore, it is the solution of given inequality.

D.17

17>15

Therefore, it is not a solution of given inequality.

Option D is true.

The maximum possible volume of a rectangular box with a fixed diagonal length l can be found using the Pythagorean Theorem. Since the diagonal of a rectangular box is the hypotenuse of a right triangle, it can be written as l^2 = a^2 + b^2.

To find the maximum possible volume, we can take the derivative of the volume function with respect to both the length a and the width b. After some algebra, this derivative can be simplified to the following equation: (2a - l)(2b - l) = 0. This equation states that either a = l/2 or b = l/2, which makes the box a cube with sides of length l/2. Therefore, the maximum possible volume of a rectangular box with fixed diagonal length l is (l/2)^3 = (l^3)/8.

To learn more about Pythagoras theoram:

https://brainly.com/question/231802

#SPJ4

The cofunction with the same value as the expression tan(v/4) is cot(π/4 - v/4).

1. Recall that the cofunction identities relate the trigonometric functions of complementary angles. The complementary angle of a given angle is the angle that, when added to the given angle, forms a right angle (90 degrees or π/2 radians).

2. The cofunction of tan(x) is cot(x) because tangent and cotangent are complementary functions.

3. To find the cofunction with the same value as tan(v/4), we need to determine the complementary angle of v/4.

4. The complementary angle of v/4 is π/4 - v/4. This can be understood by considering that the sum of the angles v/4 and π/4 - v/4 should equal π/2 (90 degrees).

5. Therefore, the cofunction with the same value as tan(v/4) is cot(π/4 - v/4).

The cofunction with the same value as tan(v/4) is cot(π/4 - v/4).

Learn more about complementary angle : brainly.com/question/3027144

#SPJ11

Answer:

True

Step-by-step explanation:

A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. ... The x- and y-axes divide the coordinate plane into four regions. These regions are called quadrants.

The given statement "A plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) is called a quadrant." is true.

A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each delimited by two half-axes.

The given statement "A plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) is called a quadrant." is true.

Learn more about Quadrant:

https://brainly.com/question/7196312

#SPJ2