I need help on this problem.Find the area.

The type of sample is the consumer selecting is Stratified Random Sample.

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling.

We have,

The clothes on each rack have similar prices but the prices among the racks are very different.

The partitioning of a population into smaller subgroups known as strata is a key component of the sampling technique known as stratified random sampling.

In stratified random sampling, also known as stratification, the strata are created based on the shared traits or features of the members, such as wealth or level of education.

For example, if one is interested in distinctions across groups based on colour, gender, or education, stratified random sampling is frequently used by researchers to learn about different subgroups or strata depending on the total population being researched.

Thus, the type of sample is  Stratified Random Sample.

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If the diagonals of the quadrilateral are equal and bisect each other at right angles, then it is a square has been proved below.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

Suppose diagonal are ab ac and db

Let's say Δ aob and Δcob

Now oa and oc will be the same so oa = oc

Since diagonal intersecting at the right angle so ∠aob= ∠cob

So,

Δaob ≅ Δcob

So,

ab = cb

Now,

Δaob ≅ Δdoa,

And,

Δboc ≅ Δcod

So,

ad = ab and cb = dc

So,

ab = bc = cd = da

Since all sides are equal so it must be a square.

Hence " If diagonal bisect at the right angle then it will be square".

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After using the formula of a trapezoid, we know that the area is 25 units².

The size of a patch on a surface is determined by its area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The shape can also be placed on a grid, and the number of squares can be counted: The area of the rectangle is 15.

For instance, if each square is 1 meter in size, the area is 15 m² (15 square meters).

So, we  have the vertices as follows:

A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2)

See, the plotted vertices on the graph.

The figure is a trapezoid.

The area of a trapezoid is as follows:

A = 1/2(AD+BC)AB

Now, find the distance:

AD = 4

BC = 6

AB = 5

Substitute as follows:

A = 1/2(4+6)5 = 25 units²

Therefore, after using the formula of a trapezoid, we know that the area is 25 units².

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The standard deviation of the population of all sample means is approximately 0.577 times less than the standard deviation of the population of individual measurements σ.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

The standard deviation of the sampling distribution of sample means is smaller than the standard deviation of the population of individual measurements (σ) by a factor of 1/√n, where n is the sample size.

This is known as the standard error of the mean (SE) and is calculated as SE = σ/√n.

So, in this case, where n = 3, the standard deviation of the sampling distribution of sample means will be σ/√3, which is approximately 0.577 times σ.

Therefore, the standard deviation of the population of all sample means is approximately 0.577 times less than the standard deviation of the population of individual measurements σ.

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Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer:

Number of absent student in decimal = 0.005

Step-by-step explanation:

Given:

Number of student = 1,000

Number of absent student = 5 / 1,000

Find:

Write number of absent student in decimal

Computation:

Number of absent student = 5 / 1,000

Number of absent student in decimal = 5 / 1,000

Number of absent student in decimal = 0.005

Answer:

Step-by-step explanation:

v=(4/3)*pi*r^3

100=(4/3)*pi*r^3

r=2.879

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer: 1. 2nd endpoint  (24,-18)       2. 2nd endpoint: (-19,4)

Step-by-step explanation:

1.   \(\frac{-10+x}{2}\) = 7  x = 24

    \(\frac{6+y}{2}\) = -6    y= -18

2nd endpoint: (24,-18)

2.  \(\frac{-1+x}{2}\) = -10   x= -19  

   \(\frac{0+y}{2}\) =  2     y= 4

cos{ arctan(n) + arccot(k) } can be expressed as 1 / sqrt(1 + ((nk + k) / (k - nk))^2) without using trigonometric functions and inverse trigonometric functions.

To express cos{ arctan(n) + arccot(k) } without using trigonometric functions and inverse trigonometric functions, we can use the properties of trigonometric identities.

First, let's consider the expression arctan(n) + arccot(k). We can rewrite arccot(k) as arctan(1/k) since arccot(x) is equivalent to arctan(1/x). Now we have:

arctan(n) + arctan(1/k)

We can use the trigonometric identity for the sum of two angles:

arctan(a) + arctan(b) = arctan((a + b) / (1 - ab))

Applying this identity to our expression, we get:

arctan(n) + arctan(1/k) = arctan((n + 1/k) / (1 - n/k))

Now, let's find the cosine of the expression:

cos{ arctan(n) + arctan(1/k) } = cos{ arctan((n + 1/k) / (1 - n/k)) }

Using the identity cos(arctan(x)) = 1 / sqrt(1 + x^2), we have:

cos{ arctan(n) + arctan(1/k) } = 1 / sqrt(1 + ((n + 1/k) / (1 - n/k))^2)

Simplifying further:

cos{ arctan(n) + arctan(1/k) } = 1 / sqrt(1 + ((nk + k) / (k - nk))^2)

Therefore, cos{ arctan(n) + arccot(k) } can be expressed as 1 / sqrt(1 + ((nk + k) / (k - nk))^2) without using trigonometric functions and inverse trigonometric functions.

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Answer:

B.) 12

Step-by-step explanation:

h(x) = 3^x + 3

h(2) = 3^2 + 3

h(2) = 9 + 3

h(2) = 12

Answer:

23°

Step-by-step explanation:

Answer:

If you have the radius:

You can use the Circumference which us equal to:

\(circumference = 2 \times \pi \times \: r\)

Then substitute:

\( arc = \frac{31}{360} \times 2 \times \pi \times r\)

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

Answer:

c. (-1, -8)

Step-by-step explanation:

\(y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\\)

Put x in any of the two equations to get y,

y = -8

Answer:

angle ABC is a straight angle or, 180°

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Given the movement of the ship, it can be respresented by the image below:

The distance from its starting point in a direct line is represented with x and can be calculated using Pythagoras Theorem as follow:

To get the hypotenuse, we have:

Hence, the ship is approximately 19.9km away from the starting point in a direct line.

The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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Answer:

13 in

Step-by-step explanation:

add them all because its says perimeter

Answer: 13 in.

Step-by-step explanation: 1+1+3+5+3 = 13

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})\)

\(\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}\)

The lengths of sides a and b are required in order to determine the values of the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) of angle or angle 0 in the shown figure. Only the values of a (28) and b (21) are given, though.

We need more details about the angles or lengths of the other sides of the triangle in order to calculate the values of the trigonometric functions. It is impossible to determine the precise values of the trigonometric functions without this knowledge.

We could use the ratios of the sides to compute the trigonometric functions if we knew the lengths of other sides or the measurements of other angles. As an illustration, sine () denotes opposed and hypotenuse, cosine () adjacent and hypotenuse, tangent opposite and adjacent, and so on.

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Answer:

b = 1

b = -1

a = 0

Step-by-step explanation:

The reflexive, symmetric, transitive, additional, and multiplication characteristics are the five algebraic qualities of equality.

The reflexive property states that a = a for every real integer.

For any two real numbers, a and b, the symmetric condition is that if a = b, then b = a.

For each real number, a, b, and c, the transitive property states that if a = b and b = c, then a = c.

For every real integer a, b, and c, if a = b, then a + c = b + c. This is known as the addition property of equality.

The equality's multiplication property states that if any real integer, a, b, and c, are equal, then a * c is equal to b * c.

These features serve as the basis for algebraic manipulation and are employed in the decomposition of expressions and the solution of equations.

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Answer:

Units of Length

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m)

10 decimeters = 1000 millimeters

10 meters = 1 dekameter (dam)

Answer:y=14

Step-by-step explanation:

Answer:

r = 1mm

Step-by-step explanation:

The two figures are similar because the one on the left is the same as the one on the right when it comes to it's angles. So you can use this as a reason to divide 12mm by 3mm to see how many times bigger the shape on the left is to the one on the right.

The number you get is 4.

The next an final step is to do 4 divided by four to get the answer for "r" which is 1mm.

Answer:

Solving for x, x = -4

Step-by-step explanation:

2x-8 = 5x+4

-12=3x

-4=x

x=-4