There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.

Answer:

G. 3:5 is the answer.

Step-by-step explanation:

the rest of the choises are wrong.

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

Given,

Number of apples in the basket = 9 apples

Number of rotten apples = 2 apples

Number of apples selected as sample = 3 apples

We have to find the number of ways can two rotten apples be chosen.

Here,

2 of 3 apples should be rotten.

Then,

That is,

Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.

Learn more about number of ways here;

https://brainly.com/question/6654189

#SPJ4

The area of the circle of diameter 9, expressed in terms of π, is given as follows:

A = 20.25π

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

From the circle in the image, the diameter is of 9 units, hence the radius is given as follows:

r = 9/2

r = 4.5.

The square of 4.5 is of 20.25, hence the expression for the area of the circle is given as follows:

A = 20.25π

More can be learned about the area of a circle at https://brainly.com/question/15673093

#SPJ1

The function f(x) is not continuous at x = 7. To determine the x-values at which the function f(x) is not continuous, we need to analyze the function for any potential points of discontinuity.

The given function is defined as:

f(x) = 10 − 6e^(7 − x), x > 7

f(x) = 10 − 6x, x ≤ 7

To check for continuity, we need to examine the behavior of the function as x approaches 7 from both the left and the right sides.

From the right side (x > 7), the function is given by:

f(x) = 10 − 6e^(7 − x)

As x approaches 7 from the right side (x → 7+), the exponent e^(7 - x) approaches 1, resulting in the function becoming:

f(x) = 10 - 6(1) = 4

So, from the right side, the function is continuous at x = 7.

From the left side (x ≤ 7), the function is given by:

f(x) = 10 − 6x

As x approaches 7 from the left side (x → 7-), the function becomes:

f(x) = 10 - 6(7) = -32

Therefore, from the left side, the function is discontinuous at x = 7.

In summary, the function f(x) is not continuous at x = 7.

Regarding the removable discontinuities, there are none in this case since the function is simply defined differently for x ≤ 7 and x > 7. Removable discontinuities occur when a function has a hole or a point of discontinuity that can be "filled in" or "removed" by redefining the function at that specific point. However, in this case, the function is already defined distinctly for the two regions separated at x = 7, and there are no singular points where the function is not defined.

Learn more about function  here:

https://brainly.com/question/30721594

#SPJ11

Answer:

1 feet

Step-by-step explanation:

15-14

Answer:

h = $4 a hotdog

c = $2 bag of chips

Step-by-step explanation:

3h + c = 14

2h + c = 10

3h + c = 14

-2h - c = -10

h = $4 a hotdog

2(4) + c = 10

8 + c = 10

c = $2 bag of chips

The volume of the octahedron is (Base area ×Height)/3 when two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid.

Given that,

An octahedron is made by connecting the centers of the faces of the right rectangular prism in the illustration below.

We have to find what is the octahedron's volume.

The Greek term "Octahedron," which means "8 faces," is the source of the English word "octahedron." Eight faces, twelve edges, six vertices, and four edges that intersect at each vertex make up an octahedron, a polyhedron. It is one of the five platonic solids with equilateral triangle-shaped faces.

Since two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid. We can compute the volume of one pyramid, then multiply it by two to obtain the volume of an octahedron.

The pyramid's volume is equal to (Base area ×Height)/3.

Since the pyramid's base is square, its base area is equal to a².

Therefore, The volume of the octahedron is (Base area ×Height)/3 when two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid.

To learn more about volume visit: https://brainly.com/question/1578538

#SPJ4

Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

The absolute minimum value of the function f(x) on the interval [-6, 0] is -9.

What is the absolute minimum value?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

To find the absolute minimum value of the function f(x) on the closed interval [-6, 0], we can start by finding the critical points of the function.

A critical point of a function is a point where the derivative of the function is equal to 0 or is undefined.

The derivative of the function f(x) is given by:

f'(x) = -3x^2 - 18x - 24

To find the critical points of the function, we can set the derivative equal to 0 and solve for x:

-3x^2 - 18x - 24 = 0

This equation factors to:

(-3x - 6)(x + 4) = 0

The solutions to this equation are x = -4 and x = -2/3.

Since the interval [-6, 0] includes the points x = -4 and x = -2/3, we can evaluate the function at these points to find the absolute minimum value.

At x = -4, f(-4) = (-4)^3 + 9(-4)^2 + 24(-4) + 1 = -64 + 144 - 96 + 1 = -9

At x = -2/3, f(-2/3) = (-2/3)^3 + 9(-2/3)^2 + 24(-2/3) + 1 = -8/27 + 18/9 - 16/3 + 1 = -5/9

Hence, The absolute minimum value of the function f(x) on the interval [-6, 0] is -9.

To learn more about the absolute minimum value visit,

https://brainly.com/question/29997563

#SPJ4

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.

Answer:

Town C

Step-by-step explanation:

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

To learn more about variance click :

https://brainly.com/question/13041243

#SPJ1

One advantage of best-guess experiments is that they are often faster and more cost-effective than factorial or design experiments.

Best-guess (trial and error) experiments involve making a hypothesis and testing it through a series of trials until a satisfactory result is achieved. On the other hand, factorial or design experiments involve manipulating multiple variables simultaneously to determine their individual and interactive effects on a response variable.

Both approaches have their advantages and disadvantages depending on the specific research question and goals. They may also be useful in situations where there is limited knowledge about the variables of interest or when the system is too complex to be modeled accurately.

However, best-guess experiments may suffer from issues such as biased or subjective interpretation of results, a lack of control over extraneous variables, and a potential for false positives or negatives.

In contrast, factorial or design experiments provide a more systematic approach to testing hypotheses and offer greater control over variables, leading to more reliable and generalizable results. They may, however, be more time-consuming and expensive to conduct.

Ultimately, the choice between best-guess and factorial or design experiments depends on the research question, available resources, and desired level of precision and control.

To learn more about experiment click on,

https://brainly.com/question/30455826

#SPJ4

The equation of this circle in standard form is (x + 1)² + (y - 3)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided in the graph above, we have the following parameters for the equation of this circle:

Center (h, k) = (-1, 1)

Radius (r) = 4 units.

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 3)² = 4²

(x + 1)² + (y - 3)² = 4²

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Complete Question:

Find the equation of this circle in standard form.

The dot product of vectors an and b is -60√2. Here the dot product of vectors an and b also |a| = 80, |b| = 30, and the angle between a and b is 3/4, you can use the following formula to find a · b:

a · b = |a| * |b| * cos(angle)
First, we need to convert the angle from 3/4 to radians, as the cosine function typically takes radians as input: angle = (3/4) * π
Now, plug the values into the formula: a · b = 80 * 30 * cos((3/4) * π)
Compute the cosine value: a · b = 80 * 30 * (-√2 / 2)
Finally, multiply the values together: a · b = -60√2
So, the dot product of vectors a and b is -60√2.

Learn more about dot products here, https://brainly.com/question/31389049

#SPJ11

Answer:

Should be B

Step-by-step explanation:

Answer:

b. 1.6n less-than-or-equal-to 56

Step-by-step explanation:

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

Answer: of each shape? 3 & 4?

Step-by-step explanation:

Answer: if simpliflying the answer is -4+3y

Answer: 14k²-99k+52.

Step-by-step explanation:

\((2k-13)*(7k-4)=\\2k*(7k-4)-13*(7k-4)=\\14k^2-8k-91k+52=\\14k^2-99k+52.\)

Phil's ball did not reach a higher maximum height than John's ball.

It should be noted that to determine whose tennis ball hit the court first, we need to find when each ball hits the ground. The equation for John's ball is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t as 1.04 seconds

So John's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

For Phil's ball, the equation is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t = 0.29 seconds or t ≈ 1.04 seconds

So Phil's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

Part 2: To determine the maximum height of Phil's ball, we need to find the vertex of the parabolic equation. The vertex of the parabolic equation f(t) = (-16t-2) (t-2) is at:

t = -b / (2a) = 15 / (2*16) ≈ 0.47 seconds

Substituting t = 0.47 seconds into the equation, we get:

f(0.47) ≈ 12.56 feet

So the maximum height of Phil's ball is approximately 12.56 feet.

To determine whether Phil's ball reached a higher maximum height than John's ball, we need to find the maximum height of John's ball. We can do this by completing the square:

f(t) = -16t^2 + 32t + 4

= -16(t^2 - 2t) + 4

= -16(t^2 - 2t + 1) + 20

= -16(t-1)^2 + 20

So the maximum height of John's ball is 20 feet.

Since 12.56 feet is less than 20 feet, Phil's ball did not reach a higher maximum height than John's ball.

Learn more about height on:

https://brainly.com/question/12446886

#SPJ1

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

Answer:

18 books done and 6 books left

Step-by-step explanation:

The matrix structure combines vertical and horizontal lines of authority, forming a matrix shape in the organization chart.

The matrix structure is a type of organizational structure where both vertical and horizontal lines of authority are present. It involves superimposing product departmentalization on top of functional departmentalization. In this structure, employees are grouped based on their specialized functions, such as marketing, finance, or operations, while also being assigned to specific project teams or product lines.

In a matrix organization, authority flows both vertically and horizontally. Employees report to both a functional manager, who oversees their specialized function, and a project manager or product manager, who is responsible for the specific project or product line they are working on. This creates a dual reporting relationship, as individuals have multiple superiors simultaneously. The matrix structure is often implemented in organizations where there is a need for flexibility, collaboration, and resource sharing across different functions. It allows for efficient coordination and utilization of expertise from different functional areas. However, the matrix structure can also bring challenges such as role confusion, power struggles, and complex communication channels.

Overall, the matrix structure offers a balance between functional specialization and project-focused teamwork, allowing organizations to adapt to dynamic environments and effectively manage complex projects or product lines.

Learn more about Matrix : brainly.com/question/29000721

#SPJ11

Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

Learn more about random samples here:

brainly.com/question/14397009

#SPJ11

Answer:

Rico Spent $6.50 on each car.

Step-by-step explanation:If you divided 52 by 8 you get 6.5 in money it would be $6.50.

My answer is reasonable because my estimate ÷ 10 = $6.50

Answer:

The answers are: 6.5$ , divided by, and 5$

Step-by-step explanation:

In order to figure out the price of each toy car, we must divide 52/8 (the total price of the toy cars divided by the number of the cars) which equals to 6.5, meaning that each toy car costs 6.5$, since they all have the same price. We know that this is a reasonable price because say we were to estimate, meaning we'd take a guess without doing any calculations. Let's say we paid 50$ in total, which is easily divided by 10, if we were to round up both numbers, we'd get 5$ each. That's close to the true answer, making it reasonable to take such a guess.

The f(4) using is found using newton's interpolating polynomials of order 4.

function y=CL10_Exercise(part)

%% Input

% part: string for part a,b,c,d

%

%% Output

% y value of the underlying function at x=4

%

%% Write your code here

X=[1,2,3,5,6];

Y=[15,8,5.5,30,52];

x=4;

y=1;

switch part

case 'a'

%% Newton interpolation (Order 4)

a=X;

b=Y;

%x=input('Enter x: ');

[m,n]=size(a);

fx=0;

for i=1:n

%_____________Calculating Dividing Difference_____________________

s=0;

for j=1:i

p=1;

for k=1:i %Denominator part product

if(k~=j)

p=p*(a(j)-a(k));

end

end

s=s+b(j)/p; %summation f(x)/product

end

%_________________________________________________________________

p=1;

for j=1:i-1 %coefficient part of f[...]

p=p.*(x-a(j));

end

fx=fx+s.*p; %Polynomial!

end

y=fx;

case 'b'

%% not-a-knot spline

case 'c'

%% clamped spline

case 'd'

%% Hermite spline

end

end

Hence, the f(4) using is found using newton's interpolating polynomials of order 4.

To learn more about interpolation click here:

brainly.com/question/18768845

#SPJ4

The exponential function is P(t)=60(4)^t that can be expressed in terms of feature of the subsequent form: f ( x ) = a x.

Initial population 'a'=60 rabbits

After 1 year, the rabbit population is 240.

An exponential feature is a mathematical feature of the subsequent form: f ( x ) = a x. wherein x is a variable, and a is a regular known as the bottom of the feature.

Equation of the exponential function.

y=ab^x

Put x=0, y=60

60=ab^0

a=60

Put x=1, y=240

240=60(b)^1

b=4

Thus,

y=60(4)^x

P(t)=60(4)^t

To learn more exponential function check the link below:

https://brainly.com/question/2456547

#SPJ4

Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)