The functions f(x) and g(x) are shown on the graph.
fx) = x²
What is g(x)?
10-
у
g(x)
f(x)


5
(1,4)
+
10
-5
5
-5
-10
O A. g(x) = 4x²
B. g(x) = (3x)2
O C. g(x) = (x+4)2
D. g(x) = (x - 4)2

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

Step-by-step explanation:

The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

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Answer:

11. Slope of the line is 7/10.

12. Slope of the line is \(-\frac{1}{3}\)

Step-by-step explanation:

11. Given points are:

(-6, 1) and (4, 8)

Slope of a line is given by the formula;

m = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{8-1}{4-(-6)}\)

m = \(\frac{7}{4+6}\)

m = \(\frac{7}{10}\)

Slope of the line is 7/10.

12. Given points are:

(2, -3) and (5, -4)

Slope of the equation is;

m = \(\frac{-4-(-3)}{5-2}\)

m = \(\frac{-4+3}{3}\)

m = \(\frac{-1}{3}\)

Hence,

Slope of the line is \(-\frac{1}{3}\).

The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.

To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.

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Answer:

1

Step-by-step explanation:

Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.

Explanation:

There are 7 blue out of 5+7+6+10 = 28 chips total.

7/28 = 1/4 = 25/100 = 25% is the probability of pulling out a blue chip.

Answer:178

Step-by-step explanation:

distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.

Answer:

15

Step-by-step explanation:

10+10-5=15

Answer:

It is 15

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Part (a): Equation 1: Pa = P[Accept lot | % nonconforming = AQL] = P[X <= c | p = 0.03], where X ~ Binomial(n, p) and Pa = 0.95.

Equation 2: P[Reject lot | % nonconforming = LTPD] = P[X > c | p = 0.06], where X ~ Binomial(n, p) and P[Reject lot] = 0.05.

Part (b):

Based on the given information, we want to find a sampling plan such that Pa = 0.95 and P[Reject lot] = 0.05. Using the nomograph provided, we can find the values of n and c that satisfy these requirements. The intersection of the two lines - one representing Pa = 0.95 and the other representing P[Reject lot] = 0.05 - gives us the values of n and c. According to the nomograph, for Pa = 0.95 and P[Reject lot] = 0.05, a sample size of n = 108 and a acceptance number of c = 2 can be used.

Part (c):

When the lot size N is not very large compared to the sample size n, the binomial distribution used in part (a) is justified. This is because the sampling distribution of the proportion of defective items in a sample from a large lot approximates a normal distribution, and the binomial distribution is a good approximation of the normal distribution for large n.

Part (d):

Returning lots to the vendor may lead to a strain on the relationship between the vendor and the company, which could negatively impact future business dealings. Additionally, it may result in delayed or reduced supply of products, causing production delays or lost sales for the company.

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Answer: if you need me to combine, its x6+y3. if not, say please

Step-by-step explanation:

The null hypothesis is rejected if the hypothesized value falls outside the confidence interval, indicating that the observed data significantly deviates from the expected value. If the hypothesized value falls within the confidence interval, the null hypothesis is not rejected, suggesting that the observed data is consistent with the expected value.

In hypothesis testing, the null hypothesis represents the default assumption, and the goal is to determine if there is enough evidence to reject it. Confidence intervals provide a range of values within which the true population parameter is likely to lie.

To use confidence intervals in hypothesis testing, we compare the hypothesized value (usually the null hypothesis) with the confidence interval. If the hypothesized value falls outside the confidence interval, it suggests that the observed data significantly deviates from the expected value, and we reject the null hypothesis. This indicates that the observed difference is unlikely to occur due to random chance alone.

On the other hand, if the hypothesized value falls within the confidence interval, we fail to reject the null hypothesis. This suggests that the observed data is consistent with the expected value, and the observed difference could reasonably be attributed to random chance.

The confidence interval provides a measure of uncertainty and helps us make informed decisions about the null hypothesis based on the observed data. By comparing the hypothesized value with the confidence interval, we can determine whether to reject or fail to reject the null hypothesis.

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The number of degrees of freedom for the chi-square goodness-of-fit test is of:

2.

The number of degrees of freedom for a chi-square goodness-of-fit test is obtained according to the multiplication presented as follows;

df = (r - 1) x (c - 1).

In which the variables are listed as follows:

The table in this problem has three rows, given as follows:

The table has two columns, which are given as follows:

Hence the number of degrees of freedom of the test is given as follows:

df = (3 - 1) x (2 - 1) = 2 x 1 = 2.

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To determine the truth value of the statement (p V-9) A r using the conditions provided, we can substitute the given truth values for p, q, and r into the statement.

a) p is false, q is true, and r is true:
(p V-9) A r = (false V-9) A true
= (-9) A true
= true

Therefore, the truth value of (p V-9) A r is true when p is false, q is true, and r is true.

b) p is true, q is false, and r is true:
(p V-9) A r = (true V-9) A true
= true A true
= true

Therefore, the truth value of (p V-9) A r is also true when p is true, q is false, and r is true.
In summary, the truth value of (p V-9) A r is always true, regardless of the truth values of p, q, and r.

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Answer: 12

Step-by-step explanation:

6-2 + 4 x 2 =  6 - 2. + 8

4 + 8 = 12

Answer:

party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.

Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?

1) Option D is correct.

The choice that represents the number of balloons in their bags is x² - 40x + 300 ≥ 0

2) Option A is correct

If Rob had more balloons than Loretta, the least number of balloons that Rob van have before using any = 30.

Hope this helps :)

This is a prospective cohort study.

To determine the best measure of central tendency for the given data set {10, 18, 13, 11, 62, 12, 17, 15}, we typically consider three measures: the mean, median, and mode. Let's calculate each measure and assess which one is most appropriate.

1. Mean: The mean is calculated by summing all the values in the data set and dividing by the total number of values. For this data set:

Mean = (10 + 18 + 13 + 11 + 62 + 12 + 17 + 15) / 8 = 15.5

2. Median: The median is the middle value when the data set is arranged in ascending or descending order. If there are two middle values, the median is the average of those values. First, let's sort the data set in ascending order: {10, 11, 12, 13, 15, 17, 18, 62}. Since there are 8 values, the median is the average of the 4th and 5th values: (13 + 15) / 2 = 14.

3. Mode: The mode is the value that appears most frequently in the data set. In this case, there is no value that appears more than once, so there is no mode.

Considering the data set {10, 18, 13, 11, 62, 12, 17, 15}, we have the following measures of central tendency:

Mean = 15.5

Median = 14

Mode = N/A (no mode)

To determine the best measure of central tendency, it depends on the specific context and purpose of the analysis. If the data set is not heavily skewed or does not contain extreme outliers, the mean and median can provide a good representation of the data. However, if the data set is skewed or contains outliers, the median may be a more robust measure. Ultimately, the best measure of central tendency would be determined by the specific requirements of the analysis or the nature of the data set.

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Answer:

2

Step-by-step explanation:

Using the z-score of -2.68, the p-value of the data is 0.0036

The null hypothesis for this test is that the majority of adults prefer window seats when they fly. The alternative hypothesis is that the majority of adults do not prefer window seats.

Null hypothesis (H₀): Majority of adults prefer window seats.

Alternative hypothesis (H₁): Majority of adults do not prefer window seats.

To test this claim, we can use the binomial distribution approximated by the normal distribution. We can calculate the test statistic and the p-value using the normal approximation.

Test statistic (z): The test statistic can be calculated using the formula:

z = (p - P₀) / √(P₀(1 - P₀) / n)

Where p is the observed proportion (483/796), P₀ is the hypothesized proportion (0.5), and n is the sample size (796).

z = (483/796 - 0.5) / √(0.5 * (1 - 0.5) / 796)

z ≈ -2.68 (rounded to two decimal places)

P-value: The p-value is the probability of observing a test statistic as extreme as the one calculated (in either tail) if the null hypothesis is true. We need to calculate the area under the standard normal curve beyond the test statistic (-2.68) to find the p-value.

P-value ≈ 0.0036 (rounded to four decimal places)

Conclusion about the null hypothesis: If the p-value is less than the significance level (0.01 in this case), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Final conclusion: Since the p-value (0.0036) is less than the significance level of 0.01, we reject the null hypothesis. There is sufficient evidence to suggest that the majority of adults do not prefer window seats when they fly.

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Answer:

= 17

Step-by-step explanation:

If f(x)=3x+2, then replacing x=5 we get f(5)=3x5+2=15+2=17

Answer:

the answer to the equations is 17

Step-by-step explanation:

Answer:

61 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

4914/5=982.8 but if you need to round it it will be 983

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

Five dollars?

Step-by-step explanation:

I don’t fully understand the question, so apologies if I am incorrect!