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Arizona Department of Health used a option (d) cluster sampling method to obtain data on teen birth rates in rural and urban areas.

Sampling is a crucial technique used in research to obtain data that accurately represents the population of interest.

The Arizona Department of Health randomly selected 5/13 rural counties and 1/2 urban counties to obtain the data on teen birth rates. This type of sampling method is called a cluster sampling method. In cluster sampling, the population is divided into smaller groups, called clusters, and a random sample of clusters is selected.

Cluster sampling is often used when it is impractical or too costly to sample individuals from the population.

It reduces costs and time required to obtain the required data. In this case, if the department chose to sample each individual from the rural and urban areas, it would have taken a lot of time and resources to obtain the data.

Therefore, selecting a few clusters from each area provides a representative sample, which saves both time and resources.

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Answer:

Well first you would just have to look at the equation for the volume of a pyramid. This is:

V = (length * width * height) / 3

and so we can just say all pyramids have a volume of V.

So now we want the base to be 3 times bigger which means we would have to multiple the length and width by 3 and the new volume equation would be

V = (3*length * 3 * width * height) / 3

we can factor the two 3's from the parenthesis and get

V = 9(l * w * h) /3

if we are looking at a ratio of how much the volume increases we can say

aV = b(l * w * h) /3

since:

V = (l * w * h) / 3

then:

aV = bV, divide both sides by V and:

a = b

using this we can see that the volume increases by a factor of 9 for 3 times bigger

now for 6 times

V = (6 * l * 6 * w * h) / 3, pull 6 * 6 out

V = 36(l * w * h) /3

and this one increases by factor of 36

if we see a pattern it always increases by the square of the factor of the growoth of the base

so for 9 times bigger it would be 9^2 = 81

and for 27 times bigger it would be 27^2 = 729

Step-by-step explanation:

The rounded potential volume of the tank is approximately 348,700.9 cubic feet, making the approximate volume of the tank 348,700.9 cubic feet.

To calculate the potential volume of the tank (cylinder), we need to know the radius of the base. However, the given information only provides the circumference of the tank and the height. We can use the circumference to find the radius, and then use the radius and height to calculate the volume of the cylinder.

Let's proceed with the calculations step by step:

Step 1: Find the radius of the tank's base

The formula for the circumference of a cylinder is given by:

C = 2πr, where C is the circumference and r is the radius.

Given that the circumference is approximately 295.3 feet, we can solve for the radius:

295.3 = 2πr

Divide both sides by 2π:

r = 295.3 / (2π)

Calculate the value of r using a calculator:

r ≈ 46.9 feet

Step 2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is given by:

V = π\(r^2h\), where V is the volume, r is the radius, and h is the height.

Substitute the values we have:

V = π(\(46.9^2)(40)\)

V = π(2202.61)(40)

Calculate the value using a calculator:

V ≈ 348,700.96 cubic feet

Step 3: Round the volume to the nearest tenth

The potential volume of the tank, rounded to the nearest tenth, is approximately 348,700.9 cubic feet.

Therefore, the potential volume of the tank is approximately 348,700.9 cubic feet.

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Answer:

what is there supposed to be a picture

Answer:

Down Here ↓↓↓

Step-by-step explanation:

Hello!

Standard Form of a Quadratic: \(ax^2 + bx +c\)

Quadratic Formula: \(x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}\)

To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.

Question: \(2x^2 +4x+2\)

Solution:

Determine the values of "a", "b", and "c".

Plug it into the quadratic equation to solve.

Solve:

The value of x is -1.

Answer:

20.5

Step-by-step explanation:

AB= Sqare root of 15^2 + 14^2

USe pythagoras' theorum

a) The numeric value at x = 4 is given as follows: f(4) = 64.

b) The logarithmic expression is given as follows: x = log2(16).

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = 4(2)^x.

At x = 4, the numeric value is found replacing the lone instance of x by 4, hence:

f(4) = 4(2)^4 = 64.

For the logarithmic expression, we obtain the inverse function, hence:

64 = 4(2)^x.

2^x = 16

x = log2(16).

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Answer:

For every 1 box Naveah moves, Michael moves 4 boxes

Answer:

$200

Step-by-step explanation:

20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200

The answer of the given question based on finding the m∠LKM from the given circle the answer is the measure of ∠LKM is 140° degrees.

In geometry,  diameter of circle is  line segment that passes through  center of  circle and has both endpoints on circle. The diameter is the longest chord (line segment connecting two points on  circumference) of  circle. The length of  diameter is twice the length of radius, which is distance from the center of  circle to any point on  circumference.

The diameter i important property of a circle and is used to calculate other properties, like the circumference and area of the circle

Since MK is a diameter of the circle, it passes through the center of the circle, which we can label as point O. Therefore, ∠LKM is an inscribed angle that intercepts arc LM.

By the Inscribed Angle Theorem, we know that the measure of an inscribed angle is equal to half the measure of the arc that it intercepts. Therefore, to find the measure of ∠LKM, we need to find the measure of arc LM.

We are given that the measure of arc LK is 100° degrees. Since arc LM is the sum of arcs LK and KM, and MK is a diameter (so arc KM is also a semicircle with a measure of 180 degrees), we can write:

m(arc LM) = m(arc LK) + m(arc KM) = 100 + 180 = 280° degrees

Therefore, the measure of ∠LKM is:

m∠LKM = 1/2 * m(arc LM) = 1/2 * 280 = 140° degrees

So the measure of ∠LKM is 140° degrees.

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We set the division result equal to 4 bottles since each care package should contain 4 bottles, and then we solve for "s".

The following equation represents the issue:

s ÷ 12 = 4

where "s" denotes the overall quantity of tiny sunscreen bottles Jordan had to work with, "" stands for division, and "4" denotes the quantity of bottles contained in each care package.

We can determine how many bottles should go into each care box by dividing the total number of bottles by the entire number of care packages. As there should be 4 bottles in each care package in this instance, we set that amount to the outcome of the division and use the formula to find "s".

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Using its concept, it is found that there is a  0.91= 91% probability of the next cougar caught being unmarked.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

In this problem, 865 - 173 = 792 cougar out of a total of 792 are unmarked, hence the probability is given by:

p = 792 /865 = 0.91.

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The probabilities for a complete probability model for the responses are approximately as follows:

Adventure: 0.24

Comedy: 0.18

Mystery: 0.15

Romance: 0.17

Other: 0.26

To find the number of people surveyed who responded with a genre other than the listed ones, subtract the sum of people who chose the listed genres from the total number of people surveyed.

Total number of people surveyed: 700

Number of people who chose the listed genres:

Adventure: 168

Comedy: 126

Mystery: 105

Romance: 119

Sum of people who chose the listed genres: 168 + 126 + 105 + 119 = 518

Number of people who responded with a genre other than the listed ones: 700 - 518 = 182

Therefore, 182 people surveyed responded with a genre other than the listed ones.

To find the probabilities for a complete probability model for the responses, divide the number of people who chose each genre by the total number of people surveyed (700).

Probability of choosing Adventure: 168/700 ≈ 0.24

Probability of choosing Comedy: 126/700 ≈ 0.18

Probability of choosing Mystery: 105/700 ≈ 0.15

Probability of choosing Romance: 119/700 ≈ 0.17

To find the probability of choosing a genre other than the listed ones, divide the number of people who responded with a genre other than the listed ones (182) by the total number of people surveyed (700).

Probability of choosing other: 182/700 ≈ 0.26

Therefore, the probabilities for a complete probability model for the responses are approximately as follows:

Adventure: 0.24

Comedy: 0.18

Mystery: 0.15

Romance: 0.17

Other: 0.26

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Hello,

I hope you and your family are doing well!

To solve the equation 2x + 3 for x = 3, we can substitute 3 for x in the equation:

2x + 3 = 2(3) + 3 = 6 + 3 = 9

So the solution to the equation 2x + 3 for x = 3 is 9.

Please rate this answer 5 stars and brainliest if you find it helpful since it does encourage me to continue helping others.

Happy Holidays!

The area bounded by the curve y = sin(x) and y = cos(x) for sin(x) = cos(x) as point of intersection is equal to 2√2.

Area bounded by the curve y = sin(x) and y = cos(x).

Point of intersection for sinx = cosx

⇒  x = π/4 and 5π/4

Required area

= \(\int_{\frac{\pi }{4} }^{\frac{5\pi }{4}}\)( sinx - cosx)dx

= ( -cosx - sinx ) \(|_ {\frac{\pi}{4} }^ {\frac{5\pi}{4} }\)

= [ -cos(5π/4) - sin(5π/4) ] - [ -cos(π/4) - sin(π/4) ]

= [ -( -1 / √2 ) - (-1 / √2 ) ] - [ -1 /√2 - 1 /√2 ]

= ( 1 + 1 ) / √2 + ( 1 + 1 ) / √2

=  ( 2 + 2 ) / √2

= 4 /√2

= 2√2

Therefore, the area bounded by the given curve is equal to  2√2.

The given question is incomplete, I answer the question in general according to my knowledge:

find the area of the region bounded by the curves y = sin(x), y = cos(x), where solution the points of intersection occur when sin(x) = cos(x), that is, when x = π/4 and 5π/4.

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The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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Answer:

The slopes of these two lines are different.

The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word more will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

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The equation to represent the coldest temperature recorded at Vostok Station in °F is 4*(−22.3)°F = 89.2°F.

The solution is obtained by using the arithmetic operations.

What are arithmetic operations?

In mathematics, mainly there are four basic operations upon which all the calculations are done. The operations are:

1. Addition(‘+’) wherein the sum of the numbers is obtained.

2. Subtraction(‘-’) wherein the difference of the numbers is obtained.

3. Multiplication(‘×’) wherein the product of the numbers is obtained.

4. Division(‘÷’) wherein the quotient of the numbers is obtained.

We are given that the coldest temperature recorded in a city in Texas was −22.3°F and the coldest temperature recorded at Vostok Station in Antarctica was 4 times as cold.

This means that the coldest temperature recorded at Vostok Station in Antarctica was

4*(−22.3)°F = 89.2°F

Hence, the equation to represent the coldest temperature recorded at Vostok Station in °F is 4*(−22.3)°F = 89.2°F.

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The null hypothesis that will be used by the founders of the SAT preparation course would use by virtue of the description is; H_0; mean = 492 while the alternative hypothesis H_1; mean > 492.

Null and alternative hypotheses are statistical terms used in hypothesis testing of data. It therefore follows that the null hypothesis of such a test always predicts no effect or no relationship between variables, while the alternative hypothesis on the other hand states one's research prediction of an effect or relationship.

It therefore follows from the paragraph above that the alternative hypothesis is described by the statement that the mean score is greater than 492.

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Let

y -----> number of quarters

x ----> number of dimes

we have that

the inequality that represents this situation is

Remember that

1 quarter =$0.25

1 dime=$0.10

so

rewrite the variables

see the attached figure to better understand the problem

Part 4b

The solution of the given inequality is the shaded area above the solid line 0.25q+0.10d=8.50

A solution to this inequality could be the point (50,50)

that means

the number of quarters is 50 and the number of dimes is 50

the ordered pair must satisfy the inequality

Verify

Part 4c

we have that

d=25 dimes

substitute in the inequality and solve for q

so

solve for q

the number of quarters must be greater than or equal to 24

Answer:

4

Step-by-step explanation:

6/12= .5

3.5≈4

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

The graphs only show the sampling distributions of X and Y, and do not provide any information on whether the estimators are biased or unbiased.

Creating, storing, manipulating, and analyzing graphs and graph data is referred to as "graph management." Graphs are a visual representation of data that are frequently used to highlight correlations between various data points or parameters to depict trends and patterns. Graph handling is the use of specialized software and algorithms to generate and edit graphs, as well as to derive insights from the data they represent. This might involve activities like converting raw data into a graph, utilizing filters to emphasize particular trends, or employing mathematical algorithms to look for patterns in the data. Graph manipulation is an important part of data analysis and visualization, and it is used in a variety of fields such as business, science, and engineering.

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Power is the result of multiplying two numbers together. The length of each colony is 10⁻⁵ inches.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

Given that the number of bacteria that Ms. Yang's fish tank has is 2×10⁸, while the length of each bacteria is 5×10⁻¹² inches. Therefore, the length of the entire colony of bacteria is,

Length of entire bacteria colony = 2×10⁸ × 5×10⁻¹²

Now, since Ms. Yang divides the colony into 10² equal colonies, therefore, the length of each colony will be,

Length of each colony = (2 × 10⁸ × 5 × 10⁻¹²) / 10²

                                      = (2 × 5 × 10⁸ × 10⁻¹²) / 10²

                                      = (10 × 10⁸ × 10⁻¹²) / 10²

                                      = 10 × 10⁸ × 10⁻¹² × 10⁻²

                                      = 10⁽¹⁺⁸⁻¹²⁻²⁾

                                      = 10⁻⁵

Hence, the length of each colony is 10⁻⁵ inches.

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10