1. Define Line, Line segment and Ray.
2. Define Complementary Angles.
3. Define Supplementary Angles.
4. Define Adjacent Angles.
5. Define Linear Pair

The required confidence interval for the difference of means is (-18.52, -13.48).

Statisticians use  confidence intervals to gauge vulnerability in an example variable. For instance, a scientist chooses various examples haphazardly from a similar populace and registers a certainty span so that each example might be able to perceive how it might address the genuine worth of the populace variable. The subsequent datasets are different where a few stretches incorporate the genuine populace boundary and others don't.

\(n_{a}\) = 18 represent the sample of A

\(n_{b}\) = 18 represent the sample of B

μₐ = 39 represent the mean sample  for A

μᵇ =  represent the mean sample for B  

σ = 9 represent the sample deviation for A

σ = 6 represent the sample deviation for B

α = 0.01 represent the significance level

Confidence =99% or 0.99

confidence interval for the difference of means is given by the following formula,

μₐ - μᵇ± \(t_{\frac{α}{2}}\)\(\sqrt{\frac{S_{a}}{n_{a}} +\frac{S_{b}}{n_{b}} }\)

39 - 55 ± 2.756\(\sqrt{\frac{9}{18} +\frac{6}{18} }\)

-16 - 2.756(0.912) =  -18.52

-16 + 2.756(0.912) = -13.48

Thus, required confidence interval is (-18.52, -13.48).

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Answer:

2 + 2 + 2 + 2

= 8

:) .........

isn't it 8.....ahaha

Answer:

A.

Step-by-step explanation:

The answer is B.

Each pack costs 2.50, so this means we can add all of our packs brought together, before multiplying. (2+4+3)=7. So our final equation should be 7 x 2.50 ,therefore B is our correct answer.

Hope this helps. & don't forget to drink water !!

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The formula for determining the volume of a cone can be expressed as;V = 1/3 πr²h where r is the radius of the base, h is the height of the cone and π is a mathematical constant whose value is approximately equal to 3.14.

A cone is a solid figure with a circular base and a curved side that narrows to a point. To determine the volume of a cone, the formula V = 1/3 πr²h is used.

The formula is derived from the area of the base of the cone, which is given by πr², and the height of the cone.

Since the cone is a three-dimensional figure, the area of the base is multiplied by the height to give the volume of the cone.

Therefore, the main answer is V = 1/3 πr²h.

Summary, The formula for finding the volume of a cone is given by V = 1/3 πr²h. The formula is derived by finding the area of the base of the cone and multiplying it by the height.

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If a relationship between two variables is called statistically significant, it means that the investigators think the variables are a. related in the population represented by the sample.

If a relationship between two variables is called statistically significant, it means that the investigators think the variables are related in the population represented by the sample. This means that the results of the study can be generalized to the larger population with a high degree of confidence.
Statistical significance refers to the likelihood that the results of a study are not due to chance. When researchers perform a statistical test, they calculate the probability that the observed relationship between the variables occurred by chance alone. If this probability is very low (usually less than 5%), then the results are considered statistically significant.
It's important to note that statistical significance does not necessarily mean that the relationship between the variables is strong or important. It simply means that the relationship is unlikely to be due to chance. Therefore, choice D ("very important") is not the correct answer. Choice B ("not related in the population represented by the sample") is also incorrect, as a statistically significant relationship indicates that the variables are related. Choice C ("related in the sample due to chance alone") is also incorrect, as statistical significance means that the relationship is not due to chance alone.

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Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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uh?

Step-by-step explanation:

sooo what am i gonna do??

Answer:

Your basically supposed to color the parts based on the answering the 8 questions on your paper.

If you do not have an questions, then just color according to the numbers.

BTW I see the word "MATH" hidden.

Answer:

scale factor = 3

Step-by-step explanation:

since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.

given D (12, - 4 ) and D' (36, - 12 ) , then

scale factor = \(\frac{36}{12}\) = \(\frac{-12}{-4}\) = 3

Answer:

You are m + 1 years old.

Step-by-step explanation:

Let's say that you are x years old, and Mack is m years old.

x = 1/2( two plus twice m)

x = 1/2(2 + 2m)

x = 1 + m

x = m + 1

Hope this helps!

The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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Answer:

\(i^{12}\) = 1

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

Then

\(i^{12}\) = \(i^{4}\) × \(i^{8}\) = 1 × 1 = 1 ← ( view table for values )

A researcher wished to estimate the difference between the proportion of users of two shampoos who are satisfied with the product at a 90% confidence level,

the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.

To construct a 90% confidence interval for the true difference between the two population proportions, we can use the formula for the confidence interval for the difference between two proportions.

Let's denote the proportion of users satisfied with shampoo A as p1 and the proportion of users satisfied with shampoo B as p2.

The sample proportion for shampoo A, denoted as 1, is calculated by dividing the number of users satisfied in the sample of 400 (78) by the sample size (400):

1 = 78/400 = 0.195

The sample proportion for shampoo B, denoted as 2, is calculated by dividing the number of users satisfied in the sample of 500 (92) by the sample size (500):

2 = 92/500 = 0.184

Next, we calculate the standard error, which measures the variability of the difference between the two proportions:

SE = sqrt[(1 * (1 - 1) / n1) + (2 * (1 - 2) / n2)]

where n1 is the sample size for shampoo A (400) and n2 is the sample size for shampoo B (500).

SE = sqrt[(0.195 * (1 - 0.195) / 400) + (0.184 * (1 - 0.184) / 500)]

SE = sqrt[(0.152025 / 400) + (0.151856 / 500)]

SE ≈ 0.0226

Now, we can calculate the margin of error by multiplying the standard error by the critical value corresponding to a 90% confidence level. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = 1.645 * 0.0226 ≈ 0.0372

Finally, we construct the confidence interval by subtracting and adding the margin of error from the difference in sample proportions:

Confidence Interval = (1 - 2) ± Margin of Error

Confidence Interval = (0.195 - 0.184) ± 0.0372

Confidence Interval = 0.011 ± 0.0372

Confidence Interval ≈ (-0.0262, 0.0482)

Therefore, at a 90% confidence level, the true difference between the proportion of users satisfied with shampoo A and shampoo B is estimated to be between -0.0262 and 0.0482.

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Answer:

5.5:1

Step-by-step explanation:

Answer:

5.5 miles per hour

Step-by-step explanation:

11/2= 5.5

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The total standard time required to processed for one hundred units as per given setup and run time is equal to 1120minutes.

As given in the question,

Number of units to be processed = One hundred units

Conversion used:

1 hour = 60 minutes

Time required for setup = 2 hours

                                        = 2 ( 60) minutes)

                                        = 120 minutes

Run time per piece = 10 minutes

⇒ Run time required for 100 units = 100 × 10

                                                        = 1000 minutes

Total standard time for 100 units is equal to

= Run time for 100 units + set time

= 1000 + 120

= 1120 minutes

Therefore, the total standard time required to processed 100 units is equal to 1120 minutes.

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The probability that the first card is a 4, the second card is a $\clubsuit$, and the third card is a 2 is 4/132600.

The probability of getting a 4 from a standard deck of 52 cards is 4/52.

The probability of getting $\clubsuit$ next is 1/51, then a 2 which is 4/50 (as 1 card from $\clubsuit$ has already been picked).

To get the probability of all 3 events happening, we must multiply all the probabilities, as they are independent. Then; Probability of getting a 4 = 4/52, Probability of getting $\clubsuit$ next = 1/51, Probability of getting 2 next = 4/50.

Therefore, probability of getting a 4, a $\clubsuit$ and then a 2 in the exact sequence = 4/52*1/51*4/50=4*132600= 0.00003021148 or 0.003%.

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The percent error in the experimental value of g is option (d) 2.04%. This means that the experimental value of g deviates from the accepted value by 2.04%.

To calculate the percent error, we need to compare the experimental value of g with the accepted value.

Let's assume the experimental value of g is ge and the accepted value is ga.

The formula for percent error is:

Percent Error = |(ge - ga) / ga| * 100

Substituting the given values:

Percent Error = |(ge - 9.8) / 9.8| * 100

We are given that the accepted value of g is 9.8 m/s^2.

Suppose the experimental value of g is 9.6 m/s^2.

Percent Error = |(9.6 - 9.8) / 9.8| * 100

Percent Error = |-0.2 / 9.8| * 100

Percent Error = 0.0204 * 100

Percent Error = 2.04%

The correct option from the given choices would be (d) 4%, which is the closest value to the calculated percent error.

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Answer:

X = 1/3 (to make it short) plz brainliest

Step-by-step explanation:

The correct answer for  0.504 ÷ 8 is option B which is 0.063

0.504 / 8 is solved by removing the decimals first and then the division as required.

0.504 / 8

= 504/1000 / 8

= 504 / 8000

= ( 504 / 8 ) * ( 1 / 1000 )

= 63 *  ( 1 / 1000 )

= 0.063

These are class of numbers that can be represented as fractions inform of two integers. Such numbers while in fractions, the denominator should not be zero and while decimal do not need to approximations to terminate them.

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The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.

The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.

Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data. 

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Answer:

8,000,372,512

Step-by-step explanation:

The four color theorem-No more than 4 colors are required to color the regions map

Answer:

x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )

Step-by-step explanation:

x³ - 64x = x( x² - 64 ) ≠ 0 ⇒ x ≠ 0 and x ≠ ± 8

x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )

Answer:

the hypothesis is correct

Step-by-step explanation:

Answer:

  they bisect each other

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

__

If they are the same length, the parallelogram is a rectangle. If they cross at right angles, it is a rhombus.

Comparingthe F-ratio of 4.60 to these critical values, we see that it is greater than the value for α = .05, but less than the value for α = .01. Therefore, the correct statistical decision is to reject the null hypothesis with α = .05, but not with α = .01. Option a) is the correct answer.

An independent-measures analysis of variance (ANOVA) is a statistical test used to evaluate the mean differences between two or more groups. In this case, we are comparing four treatments, each with a separate sample of n = 8.

The null hypothesis for an ANOVA is that there are no significant differences between the means of the groups being compared. The alternative hypothesis is that at least one of the means is different from the others.

To test this hypothesis, we use an F-ratio, which is the ratio of the variance between groups to the variance within groups. If the F-ratio is large enough, we can reject the null hypothesis and conclude that there are significant differences between the means.

In this case, the data produce an F-ratio of F = 4.60. To make a statistical decision, we need to compare this value to a critical value from an F-distribution table. The critical value depends on the degrees of freedom for the numerator and denominator of the F-ratio, as well as the level of significance (α) chosen for the test.

Since we have four groups, the numerator degrees of freedom are k-1 = 3, where k is the number of groups. The denominator degrees of freedom are (k-1)(n-1) = 21, where n is the sample size for each group.

For a two-tailed test with α = .05, the critical F-value for these degrees of freedom is 3.10. For α = .01, the critical value is 5.10.

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Answer:

In 8 years, you will have $11,094.81

Step-by-step explanation:

Answer:

V=11095.3771≈11095.38

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

The shaded area is 2/3 and it is divided into 1/9 pieces. So, 2/3 divided by 1/9 which equals 6 pieces. The only equation that matches this is option 1.