a pollster issues a computer to generate 500 random numbers and then interviews the voter corresponding to those numbers. identify the type of sampling used in this example.
a. stratified sampling
b. systematic random sampling
c. cluster sampling
d. simple random sampling

Answer:

7.8

Step-by-step explanation:

5 goes into 39 seven times. 5 x 7 is 35. 39-35 is 4. So it would be 7 and 4/5. This is the same thing as 7.8

hope this helps

The series 1, 13, 19, 127, 181, 1243, 1729 can be represented in sigma notation as Σ aₙ, where aₙ is a sequence of terms.

To represent the given series in sigma notation, we need to identify the pattern or rule that generates each term. Looking at the terms, we can observe that each term is obtained by raising a prime number to a power and subtracting 1. For example, 13 = 2² - 1, 19 = 3² - 1, 127 = 7³ - 1, and so on.

Therefore, we can write the series in sigma notation as Σ (pₙᵏ - 1), where pₙ represents the nth prime number and k represents the exponent.

In this case, we have the terms 1, 13, 19, 127, 181, 1243, 1729, so the sigma notation for the series would be Σ (pₙᵏ - 1), where n ranges from 1 to 7.

Please note that the specific values of pₙ and k need to be determined based on the prime number sequence and the exponent pattern observed in the given series.

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Answer:

Step-by-step explanation:

That means the chance of getting blue = 12/20

12/20 = 6/10

6/10 = 3/5

also, 3/5 = 60%, or .60

Answer:

Your Domain Will be (6,-12,-6,20)

Your Range will Be 36

Sorry i dont have work shown i just remember doing this problem and just gave answers glad to help and stay safe

Answer:

Domain: {6, -12, -6, 20}

Range: {0, -16 , 10 , -7}

Step-by-step explanation:

Domain and Range:

Domain: In the set of ordered pairs, domain is all the x-values.

Range: In the set of ordered pairs, range is all the y-values

Domain: {6, -12, -6, 20}

Range: {0, -16 , 10 , -7}

Answer:

The probability is a 50% chance of you picking an even number

Step-by-step explanation:

Answer:

yes it is.

Step-by-step explanation:

9.5 is greater than 9 as when we divide 9.5 by 9 the result is greater than one.

By using a scale factor we can determine if one quantity is greater than or less than another quantity.

Given, are two numbers 9.5 and 9 to determine if 9.5 is greater than 9 or not we'll divide 9.5 by 9 if the result is greater than 1 then 8.5 is greater than 9 and if the result is less than 1 then 9.5 is less 9.

Now, 9.5/9 = 1.05 which is greater than 1.

∴ 9.5 is greater than 9.

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Answer:

Step-by-step explanation:

should be 1110

Answer:

1110

Step-by-step explanation:

Answer:

didn' t understand ....

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

Step-by-step explanation:

1. Each value of temperature is lower than the one previous, so we can say the temperature is decreasing. We also notice that the rate of decrease is getting smaller, possibly because the temperature is approaching a horizontal asymptote.

__

2. The horizontal axis, where temperature is plotted, is conventionally called the x-axis.

__

3. The label on the vertical axis is "temperature" and the graph title is "cooling a hot drink ...", so we presume the dependent variable is the temperature of a hot drink.

Greetings from Brasil...

Using set theory to solve this question

Let

D = Dogs Set

C = Cats Set

R = Classroom Set

n(D ∪ C) = n(D) + n(C) - n(D ∩ C)

n(D ∪ C) = 14 + 11 - 3

n(D ∪ C) = 22

Then,

Total = n(D ∪ C) + 24

Total = 22 + 24

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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Three different ways to represent 2.2 in whole numbers:

Tenths                  Ones

  2                            20

  1                             12

  0                             22

To represent 2.2 in whole numbers in different ways, we can adjust the number of tenths and ones to get the same overall value of 2.2. Here are the three different ways:

Tenths = 2 and Ones = 20: In this representation, we keep the same number of tenths (2) and adjust the number of ones to be 20 (instead of 2). This means that we have 20 ones (which is the same as 2 tens) and 0 tenths, so the overall value is still 2.2.

Tenths = 1 and Ones = 12: In this representation, we decrease the number of tenths to 1 (which means we have 1/10) and increase the number of ones to 12. This means that we have 12 ones and 1 tenth, which gives us a total value of 2.2.

Tenths = 0 and Ones = 22: In this representation, we set the number of tenths to 0 (which means we have 0/10) and increase the number of ones to 22. This means that we have 22 ones and 0 tenths, which gives us a total value of 2.2.

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The given question is incomplete, the complete question is:

Fill in the table with whole numbers to make 2.2 in three different ways.

Answer:

16n=16n or n=1

Step-by-step explanation:

5n + 11n = 16n       add like terms

16n = 16n               divide both sides by 16

n = 1

Answer:

16n = 16n ⇒ True

Explanation:

Add to simplify:

5n + 11n ⇒ equals 16n

So, the final answer is:

16n = 16n ⇒ True  (16n does equal 16n)

Hope this helps! :)

1) The area is 35 6/24 m^2

2) The area is 62 7/20 ft^2

3) The perimeter is 29 4/6 ft

1) What is the area of the rectangle is obtained from;

A = L * b

L = length

b = breadth

A =(18/4 * 47/6)

A = 35 6/24 m^2

2) The area of the rectangle is;

A = L * b

A = (29/4 * 43/5)

A = 62 7/20 ft^2

3) The perimeter is obtained from;

P =2 (L + b)

P = 2(49/6 + 20/3)

P = 2(267/18)

P = 29 4/6 ft

This is how to obtain the area and the perimeter of the rectangle here.

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Answer:

Radio waves, tides, musical tones, electrical currents

Smallest natural number :

Answer:

The smallest natural number is 1.

Answer:

12

Step-by-step explanation:

Looking through the options, the answer is option D.

It will create a torus shape.

The solid that resembles a doughnut and is called a torus has rotational symmetry around a vertical axis that runs through its center, and its outside edges are shaped like circles.

Rotations of two-dimensional objects can produce three-dimensional things. It will also be possible to identify and examine the two-dimensional cross-sectional forms of three-dimensional objects.

Every cross-section of a sphere is a circle, as is obvious. Remember that things may appear to be different from their true shapes depending on the viewpoint, even if certain cross-sections seem to be ellipses from various angles.

It will create a torus shape.

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Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

Binomial squared:

Answer:

The answer is

Step-by-step explanation:

First of all factor out the perfect square out.

In this question the perfect squares are 4 and x²

So we have

Separate the radicals

That's

Simplify

So we have

We have the final answer as

Hope this helps

Answer:

\(2n \sqrt{6n} \)

Step-by-step explanation:

\( \sqrt{24n {}^{3} } \)

\( \sqrt{2 {}^{2} } \times 6 {n}^{3} \)

\( \sqrt{ {2}^{2} } \times 6n {}^{2} \times n\)

\( \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} \)

\(2 \sqrt{n {}^{2} } \sqrt{6n} \)

\(2n \sqrt{6n} \)

2n square root 6n

\(2n \sqrt{6n} \)

Hope this helps.....

Answer:

Step-by-step explanation:

Cylinder volume formula:

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

The second cylinder has:

Its volume is:

Substitute the value of the first cylinder:

Answer:

herefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.

Step-by-step explanation:

We can use Taylor's theorem with the remainder in Lagrange form to estimate the error in approximating sin(x) with its Maclaurin polynomial:|Rn(x)| ≤ M * |x - a|^(n+1) / (n+1)!where:

Rn(x) is the remainder (the difference between the exact value of the function and its approximation using the Maclaurin polynomial)

M is an upper bound on the (n+1)st derivative of the function on the interval [0, x]

a is the center of the Maclaurin series (in this case, a = 0)

n is the degree of the Maclaurin polynomialSince sin(x) is continuous and differentiable for all x, we know that the Maclaurin series for sin(x) converges to sin(x) for all x. Therefore, we can use the Maclaurin series for sin(x) to approximate sin(0.7):sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...sin(0.7) ≈ 0.7 - 0.7^3/3! + 0.7^5/5!sin(0.7) ≈ 0.6442 (rounded to four decimal places)To find the degree of the Maclaurin polynomial required for the error in this approximation to be less than 0.001, we need to solve the following inequality for n:0.7^(n+1) / (n+1)! ≤ 0.001We can use a calculator or a table of values for factorials to solve this inequality. One possible method is to try different values of n until we find the smallest value that satisfies the inequality.Starting with n = 2, we get:0.7^3 / 3! ≈ 0.082This is not less than 0.001, so we try n = 3:0.7^4 / 4! ≈ 0.005This is less than 0.001, so we have found the degree of the Maclaurin polynomial required for the error to be less than 0.001:n = 3Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.

We need at least a degree 4 Maclaurin polynomial to approximate sin(x) at x = 0.7 with an error less than 0.001.

To determine the degree of the Maclaurin polynomial required for the error in the approximation of the function sin(x) at x = 0.7 to be less than 0.001, we need to consider the following:

1. The Maclaurin series for sin(x) is given by:
sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

2. The error in a Maclaurin series approximation can be estimated using the remainder term formula:
|error| ≤ |(x^n+1)/(n+1)!|

3. Plug in the desired error and x value (0.001 and 0.7, respectively) to find the smallest n such that the error is less than 0.001:
|0.001| ≤ |(0.7^n+1)/(n+1)!|

4. Iterate through different values of n (starting with n = 0) until the inequality is satisfied. Remember that n must be an even number as sin(x) is an odd function.

After iterating through different values of n, you will find that the smallest even n that satisfies the inequality is 4. Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(0.7) to be less than 0.001 is 4.

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To determine the appropriate significance level for performing a significance test based on the confidence level used to construct the confidence interval,

we need to consider the relationship between confidence level and significance level.

The confidence level represents the probability that the confidence interval will contain the true population parameter. In this case, the confidence level was not provided, so we cannot directly determine the significance level based on the given information.

Typically, a 95% confidence level is commonly used, which corresponds to an alpha (significance level) of 0.05. This means that there is a 5% chance of rejecting the null hypothesis when it is true.

However, it is important to note that the specific significance level to be used in a significance test should be determined in advance based on the requirements of the study, the consequences of Type I and Type II errors, and any relevant guidelines or standards in the field of study. The coach or researcher conducting the study should define the significance level based on these considerations.

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