Question 4 of 25
Suppose cluster sampling were being used to survey digital camera
users, who amount to 77% of the population of the United States.
Based on the table below, which city would be considered the best
cluster?
City
Percentage of the population
who are digital camera users
96%
78%
Houston
Las Vegas
Phoenix
San Diego
49%
11%
A. Las Vegas
B. Houston
Ο Ο Ο Ο
C. Phoenix
D. San Diego

Answer:

12 inches

Step-by-step explanation:

The distance between \(M\)and \(N\), which are the midpoints of segments \(AB\) and \(CD\) is \(12cm\).

Segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

Line is defined as a straight \(1D\) figure having no thickness and extending infinitely in both directions.

We have,

\(AB=BC=CD=6cm\),

And, \(M\)and \(N\)  are the midpoints of segments \(AB\) and \(CD\).

According to question,

\(AB=BC=CD=6cm\),

So,

Total length of line is \(18cm\).

As \(M\) and \(N\) are midpoints of   and \(AB\) and \(CD\),

So,

\(MN=18-(AM+BN)\)

\(MN=18-6\)

\(MN=12cm\)

Hence, we can say that the distance between \(M\)and \(N\), which are the midpoints of segments \(AB\) and \(CD\) is \(12cm\).

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The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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a. The upper bound on the probability that the center will recycle more than 55,000 cans on a particular day is 90.9%.

b. Chebyshev’s inequality does not provide a useful lower bound on the probability that the center will recycle 40,000 to 60,000 cans on a certain day

a) Markov’s inequality states that for a non-negative random variable X and any constant c > 0, the probability that X is greater than or equal to c is at most the expected value of X divided by c. Mathematically, we have:

P(X >= c) <= E(X) / c

In this case, X is the number of tin cans recycled in a day, and c = 55,000. The expected value of X is 50,000 cans, so we can apply Markov’s inequality:

P(X >= 55,000) <= E(X) / 55,000 = 50,000 / 55,000 = 0.909 or 90.9%

b) Chebyshev’s inequality states that for any random variable X with finite mean mu and variance sigma^2, the probability that X deviates from its mean by some number k standard deviations is at most 1/k^2. Mathematically, we have:

P(|X - mu| >= k sigma) <= 1 / k^2

In this case, mu = 50,000 and sigma^2 = 10,000, so sigma = sqrt(10,000) = 100. We want to find a lower bound on the probability that the center will recycle between 40,000 and 60,000 cans, which is the same as finding an upper bound on the probability that X deviates from its mean by more than 1 standard deviation. Therefore, we set k = 1 in Chebyshev’s inequality:

P(|X - 50,000| >= 100) <= 1 / 1^2 = 1

Therefore, the probability that X deviates from its mean by more than 1 standard deviation is at most 1. This means that the probability that the center will recycle between 40,000 and 60,000 cans is at least:

1 - P(|X - 50,000| >= 100) >= 1 - 1 = 0 or 0%

since it only guarantees that the probability is not zero, but gives us no information about how close to zero it actually is.

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The mean number of people living in a household was 6.208, indicating that the average household size in South Africa is approximately six people.

The Census At School survey project collected data from an SRS of 48 South African students to estimate the number of people living in South African households.

The standard deviation of 2.576 indicates that there is considerable variation in household size, with some households having fewer than four people and others having more than eight people.

The sample size of 48 is relatively small compared to the total population of South Africa, which is over 58 million people. Therefore, the estimates based on this sample may not accurately reflect the entire population. However, the use of random sampling techniques, such as SRS, helps to minimize bias and increase the representativeness of the sample.

Overall, the data collected from the Census At School survey project provides a valuable insight into the average household size in South Africa. This information can be used by policymakers and researchers to inform decisions regarding housing, healthcare, and other public services.

The Complete question is:

How many people live in South African households? To find out, we collected data from an SRS of 48 out of the over 700,000 South African students who took part in the CensusAtSchool survey project. The mean number of people living in a household was 6.208; the standard deviation was 2.576.

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Answer:

<U=70

Step-by-step explanation:

Straight line=180 degrees

180-120

=60

So, we have 2 angles.

60 and 50

180=60+50+x

180=110+x

70=x

So, U=70

Hope this helps! :)

Answer:

\(81\pi\)

Step-by-step explanation:

Area = pi*r^2

Area = pi*9^2

Area = \(81\pi\)

Answer:

81πyd²

Step-by-step explanation:

Given

Radius of the circle (r) = 9 yd

Area of the circle

= πr²

= π * 9²

= 81π yd²

Hope it will help :)❤

Step-by-step explanation:

Answer:

The answer is 38 euros.

Step-by-step explanation:

Answer:

11ft

Step-by-step explanation:

The equation for circumference is 2pi x radius

2 x pi x radius = 22 pi

2 x 22/7 x radius = 22 pi

44/7 x radius = 22 pi

radius = 22 pi x 7/44

radius = 11ft

Answer:

Perpendicular: \(y=-\frac{1}{3}x+\frac{19}{3}\)

Parallel: \(y=3x-7\)

Step-by-step explanation:

So when two lines are perpendicular, that means the the slope is the reciprocal with the opposite sign so: \(\frac{a}{b} \text{ has a slope perpendicular to } -\frac{b}{a}\). In this case we have the equation in slope-intercept form, so it's easy to determine the slope, it's 3. So that means the perpendicular line will have a slope of: \(-\frac{1}{3}\). Since you have a slope of 3/1 which becomes 1/3 and also an opposite sign. This gives you the equation: \(y=-\frac{1}{3}x+b\). We can solve for b, by plugging in a coordinate it passes through. This is given in the problem, with it being (4, 5) = (x, y). So plugging these values in as (x, y) gives you the equation: \(5=-\frac{1}{3}(4)+b\implies\frac{15}{3}=-\frac{4}{3}+b\implies\frac{19}{3}=b\). This gives you the complete equation: \(y=-\frac{1}{3}x+\frac{19}{3}\)

So when two lines are parallel, that means they have the slope, and a different y-intercept. This is because if they had the same y-intercept, then the two lines would be the same exact line. We already know the slope, it's 3. So we have the general equation: \(y=3x+b\text{ where b}\ne-3\). The restriction on b, was explained on the previous sentence, if b=-3, then we have the same equation, which is not parallel, they would be the same line, meaning they would intersect at infinite points, which is completely different than two lines that never intersect. So now we can plug in the given point (4, 5) to solve for b. Plugging these coordinates in gives you: \(5=3(4)+b\implies5=12+b\implies-7=b\). This gives you the complete equation: \(y=3x-7\)

Answer:

99

Step-by-step explanation:

4x³-2x²+3x​

4×3³-2×3²+3×3

4(27)-2(9)+9

108-18+9

99

99

=(4)(27)−2(32)+(3)(3)

=108−2(32)+(3)(3)

=108−(2)(9)+(3)(3)

=108−18+(3)(3)

=90+(3)(3)

=90+9

=99

Answer:

-20j+ 6j=-14j

-14j + 18j=4j

4j-9j=-5j

-5j=-3-17

-5j =-20

j =-20÷-5

j =4

Answer:

5x -4 ?

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

120x0.4=48

48x3=144

120x0.7=84

84x2=168

168+144=312

The probability that a consumer will obtain an unsatisfactory plumbing job, given that the plumber was A is 0.345. And the probability that a consumer will obtain a satisfactory plumbing job, given that the plumber was A is 0.655.

Given,Total consumers surveyed = 276No. of consumers dissatisfied with plumbing jobs = 10% of 276 = 27.6Let the total plumbing jobs in the town = 100hence the number of plumbing jobs done by Plumber A = 40Then the total number of dissatisfied plumbing jobs done by Plumber A = (1/2) * 27.6 = 13.8

Let P(A) = the probability that the job was done by Plumber Athen, the probability that the plumbing job was dissatisfactory given that Plumber A did the job is given byP(unsatisfactory job) | A) = 13.8/40 = 0.345Again let P(B) = the probability that the job was done by Plumber A then the probability that the plumbing job was satisfactory given that Plumber A did the job is given byP(satisfactory job) | A) = 1 - 0.345 = 0.655

Hence the probability that a consumer will obtain an unsatisfactory plumbing job, given that the plumber was A is 0.345. And the probability that a consumer will obtain a satisfactory plumbing job, given that the plumber was A is 0.655.

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Answer:

Choice D. -1, 0, -5

Step-by-step explanation:

The speed of Fred's snowmobile was 30 miles per hour.

This is calculated by dividing the distance traveled by the time taken for each journey, which gives a speed of 30 mph for both the outward and return journeys.

To find Fred's speed, we can use the formula speed = distance/time. We know that Fred traveled a distance of 360 miles in 12 hours on the outward journey, so his speed was 360/12 = 30 mph.

Similarly, on the return journey, he traveled the same distance of 360 miles, but it took him 15 hours, so his speed was again 360/15 = 24 mph.

However, we are asked to find his constant speed, so we take the average of the two speeds, which gives us (30 + 24)/2 = 27 mph. Therefore, Fred's snowmobile was traveling at a constant speed of 30 mph on both journeys.

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Answer:

w=15

Step-by-step explanation:

Answer:

x1= 79, x2= -83

Step-by-step explanation:

seperate into 2 possible cases

x+2=81

x+2= -81

subtract 2 from both sides

x= 79

x= -83

Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.

The series converges because it is a geometric series with |r| < 1. The sum of the series is 1/(1 - e⁻³) ≈ 0.9502.

The series ∑ⁿ₌₀ e⁻³ⁿ can be analyzed using the ratio test.

The ratio of successive terms is given by e⁻³⁽ⁿ⁺¹⁾/e⁻³ⁿ = e⁻³. Since the limit of the ratio as n goes to infinity is less than 1, the series converges by the ratio test. The sum of the series can be found using the formula for the sum of an infinite geometric series: S = a/(1 - r), where a is the first term and r is the common ratio.

In this case, a = e^0 = 1 and r = e⁻³. Thus, the sum of the series is S = 1/(1 - e⁻³) ≈ 0.9502. Therefore, the correct answer is E. The series converges because it is a geometric series with |r| < 1. The sum of the series is 1/(1 - e⁻³) ≈ 0.9502.

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Complete complete:

Determine whether the series sigma^infinity_ n = 0 e^-3n converges or diverges. If it converges, find its sum. Select the correct choice below and, if necessary, fill in the answer box within your choice.

A. The series diverges because lim_n rightarrow infinity e^-3n notequalto 0 or fails to exist.

B. The series converges because lim_k rightarrow infinity sigma^k_n = 0 e^-3n fails to exist.

The series converges because lim_n rightarrow infinity e^-3n = 0.

The sum of the series is (Type an exact answer.)

D. The series diverges because it is a geometric series with |r| greaterthanorequalto 1.

E. The series converges because it is a geometric series with |r| < 1. The sum of the series is (Type an exact answer.)

Answer:

note:

Step-by-step explanation:

Answer:        我不知道你好

Step-by-step explanation:

From the given problem,

Solving for the value of w,

Add 6 to both sides of the equation

Divide both sides by -5 :

Now substitute the value of w to the asking expression.

The answer is -20

The answer as a a fraction is 15/4 + 4 1/3

The answer will be positive since both fractions are going to be positive

When solved as a fraction the answer becomes 97/12 or 8 1/12

A fraction is a ratio of two integers. It is also a part of a whole.

Fractions can be mixed, proper or improper depending on the numbers seen at the numerator and denominator.

a. Rewriting as addition, 15/4 - (-4 1/3) = 15/4 + 4 1/3

b. The answer will be positive since both fractions are positive

c. converting the mixed number to improper fraction it becomes 4 1/3 = 13/3

15/4 + 13/3

Multiply 15/4 by 3 and 13/3 by 4 to make the denominators of both fractions equal. we have,

45/12 +52/12

By direct addition of their numerators,

we have \(\frac{45 + 52}{12}\)

          = 97/12

          = 8 1/12

In conclusion, the solution to the fraction 15/4 + 13/3 is 8 1/12

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To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

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Answer:

write what in vertex form?

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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ANSWER:     8

Step-by-step explanation:

Stephen reads 278 pages in 7 weeks/39 pages each week.

Alice reads 217 pages in 7 weeks/ 31 pages each week.

39-31 because it has asked for each week.

39-31= 8

Answer:

180 días.

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Buscamos y enumeramos los múltiplos de cada número hasta encontrar el primer múltiplo común.

Este primer múltiplo común es el mínimo común múltiplo.

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210

Múltiplos de 60:

60, 120, 180, 240, 300

Múltiplos de 90:

90, 180, 270, 360

Por lo tanto,

MCM (15, 60, 90) = 180

Por lo tanto, el número de días que mi pago se concede es de 180 días.