what is 921-588? im in fifth grade but its too hard for me

It is uncertain whether the corresponding 98% CI (Confidence interval), using the same data will contain zero. It is Possible that the new 95% CI will not contain zero due to different data, or still contain zero depending on data and distribution.

It is not possible to determine with certainty whether the corresponding 98% confidence interval (CI) will contain the number zero without knowing the underlying distribution and the sample size. However, it is possible for the 98% CI to not contain the number zero, even if the 95% CI did contain the number zero.

This is because the 98% CI will be wider than the 95% CI, and therefore, it is possible for the range of values to exclude the number zero.

If new data is collected and a 95% CI is constructed using this data, it is possible that the interval will not contain the number zero, even if the previous 95% CI did contain the number zero. This is because the new data may provide a different estimate of the population mean, resulting in a different confidence interval.

However, it is also possible that the new 95% CI will still contain the number zero, depending on the new data and the underlying distribution.

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Answer:

35.686

Step-by-step explanation:

Since the 4th digit past the decimal is 5 or higher, we round up.

Answer:

x = 2b - a

Step-by-step explanation:

2(x + a) = 4b

2x + 2a = 4b

x + a = 2b

x = 2b - a

I think this question is incomplete

Answer: 98 yards

Step-by-step explanation:

In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.

Applying the vertical angle theorem, the measure of the missing angles are:

e = 31

f = 72

d = 77

The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.

Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,

e = 31 degrees.

Also, d = 77 degrees [vertical angles theorem].

e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].

Substitute the value of e into the equation

31 + 77 + f = 180

108 + f = 180

Subtract 108 from both sides

108 + f - 108 = 180 - 108

f = 72 degrees.

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Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

Hypotheses:

H₀: There are no systematic price differences between the stores

Hₐ: There are systematic price differences between the stores

The degrees of freedom for between-groups (stores) is

dfB = k - 1 = 3 - 1 = 2, where k is the number of groups (stores).

The degrees of freedom for within-groups (products within stores) is

dfW = N - k = 15 x 3 - 3 = 42, where N is the total number of observations.

Assume the significance level is 0.05.

The F-statistic is calculated as:

F = (SSB/dfB) / (SSW/dfW)

where SSB is the sum of squares between groups and SSW is the sum of squares within groups.

ANOVA table

Kindly find the table on the attached image

To determine whether to reject or fail to reject H0, compare the F-statistic (F) to the critical value from the F-distribution with dfB and dfW degrees of freedom, at the α significance level.

The critical value for F with dfB = 2 and dfW = 42 at 0.05 significance level is 3.13

Conclusion:

Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

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Question is incomplete, find the complete question below

You know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically significantly different. You go online and collect data from 3 different stores, gathering information on 15 products at each store. You find that the average prices at each store are: Store 1 xbar = $27.82, Store 2 xbar = $38.96, and Store 3 xbar = $24.53. Based on the overall variability in the products and the variability within each store, you find the following values for the Sums of Squares: SST = 683.22, SSW = 441.19. Complete the ANOVA table and use the 4 step hypothesis testing procedure to see if there are systematic price differences between the stores.

Step 1: Tell me H0 and HA

Step 2: tell me dfB, dfW, alpha, F

Step 3: Provide a table

Step 4: Reject or fail to reject H0?

We are asked to test the series ∑(k/(-1)^k) for convergence or divergence. So the series is diverges .

To determine the convergence or divergence of the series ∑(k/(-1)^k), we need to examine the behavior of the terms as k increases.

The series alternates between positive and negative terms due to the (-1)^k factor. When k is odd, the terms are positive, and when k is even, the terms are negative. This alternating sign indicates that the terms do not approach a single value as k increases.

Additionally, the magnitude of the terms increases as k increases. Since the series involves dividing k by (-1)^k, the terms become larger and larger in magnitude.

Therefore, based on the alternating sign and increasing magnitude of the terms, the series ∑(k/(-1)^k) diverges. The terms do not approach a finite value or converge to zero, indicating that the series does not converge.

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The correct answer is b. It would become wider with fewer values. This is because as the sample size decreases, the variability of the sample mean increases, leading to a wider confidence interval.

The distribution used for the confidence interval calculation (whether z or t) is not impacted by the sample size, only the size of the sample itself affects the confidence interval.

In a situation where the sample size was decreased from 39 to 29, the impact on the confidence interval would be (b) It would become wider with fewer values.

A smaller sample size generally leads to a wider confidence interval, as the decreased sample size provides less information about the overall distribution.

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Answer:

123yyyyfghuhhuugghhiuhggujcgh

Answer:

4

Step-by-step explanation:

1 1/2 x 2 2/3

3/2 x 8/3

9/6 x 16/6

144/36

4

Answer:

6

Step-by-step explanation:

3/2 x 8/2=24/4

24/4 =6

Answer:

Y=8x-32

Step-by-step explanation:

Point Form:

(4,0)

Equation Form:

x=4, y=0

If the original price of the football is $22.00, and the store is offering a 20% discount, then the new price of the football before tax would be:

New price before tax = Original price - Discount

= $22.00 - (20% x $22.00)

= $17.60

Now, we need to calculate the price of the football after adding the sales tax of 5%. To do this, we can calculate the amount of sales tax first, and then add it to the new price before tax:

Sales tax = 5% x $17.60

= $0.88

Price after tax = New price before tax + Sales tax

= $17.60 + $0.88

= $18.48

Therefore, the cost of the discounted football after tax is $18.48.

The graph that represents \(y = \sqrt[3]{x - 5}\) is given by the image presented at the end of the answer.

The parent function in the context of this problem is defined as follows:

\(y = \sqrt[3]{x}\)

The translated function in the context of this problem is defined as follows:

\(y = \sqrt[3]{x - 5}\)

The translation is defined as follows:

x -> x - 5, meaning that the function was translated five units right.

Hence the vertex of the function is moved from (0,0) to (5,0), as shown on the image given at the end of the answer.

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The sampling distributions are used for statistical tets.

Hence,The sampling distributions are used for statistical tets.

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Answer:

a. {-2, -1, 0, 1, 2, 3, 4}

b. {-2, -1, 0, 1, 2, 3}

Answer:

shirts are $32 each and hats are $18 each

Step-by-step explanation:

x = shirts

y = hats

2x + 5y = 154

3x + 4y = 168

use either substitution or elimination

x = $32

y = $18

The price of each shirt is $32 while the price of each hat is $18.

let

the price of each shirt  = x

the price of each hat = y

Eva's purchase will be

Nicole's purchase will be

Combine the equation to find the price of each shirt and hat.

2x + 5y = 154

3x + 4y = 168

2x = 154 - 5y

x = 77 - 5 / 2 y

3x + 4y = 168

3(77 - 5 / 2 y) + 4y = 168

231 - 15 / 2 y + 4y  = 168

168 - 231 = - 7 /2 y

- 63 = - 7 / 2 y

cross multiply

-126 = -7y

y = 18

2x + 5(18) = 154

2x + 90 = 154

2x = 154 - 90

2x = 64

x = 64 / 2

x = 32

Price of each shirt  = $32

price of each hat  = $18

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Answer:

25 and 54

Step-by-step explanation:

(a)

6z² - 2z + 5 ← substitute z = 2

= 6(2)² - 2(2) + 5

= 6(4) - 4 + 5

= 24 - 4 + 5

= 20 + 5

= 25

(b)

64 - 5z ← substitute z = 2

= 64 - 5(2)

= 64 - 10

= 54

Answer:

we have

speed <=35 miles per hour.

Answer:

-8

Step-by-step explanation:

Just trust me

As a general rule, if the sample is large, the difference between the groups is large, and the range of scores within a group is small, then the results are likely to be statistically significant.

Statistical significance refers to the likelihood that the results of a study are not due to chance. In order for results to be statistically significant, they need to meet certain criteria, such as a large sample size and a clear difference between groups. Additionally, the range of scores within each group should be small in order to increase the precision of the results. When these conditions are met, the results are more likely to be reliable and meaningful.

The concept of statistical significance is a crucial aspect of research in many different fields. It allows researchers to determine whether the results of a study are reliable and meaningful, or whether they are simply due to chance. In order for results to be statistically significant, they need to meet certain criteria.

One important factor is the sample size. A larger sample size is generally more representative of the population being studied, and it allows for more precise measurements of the variables being examined. This is because a larger sample size reduces the impact of random variation or "noise" in the data. As a result, larger sample sizes increase the likelihood of finding statistically significant differences between groups.

Another important factor is the difference between the groups being studied. If there is a large difference between the groups, it is more likely that the results will be statistically significant. For example, if we are comparing the effectiveness of two different medications, and one medication is much more effective than the other, we are more likely to find a statistically significant difference between the groups.

In addition, the range of scores within each group should be small in order to increase the precision of the results. This is because a smaller range reduces the impact of outliers or extreme scores, which can distort the results. When the range of scores is small, it is easier to detect differences between groups that are statistically significant.

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Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

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Answer:

y = -3x + 2

Step-by-step explanation:

b is your y intercept, where the line crosses the y axis

m is your slope, since the line is going down we know it is negative

the slope was -6/2, which simplifies to -3

If one wants to examine the relationship between college students' decision on where to live near campus and their academic performance, the predictor variable would be the "decision on where to live near campus."

The decision on where to live near campus refers to the choice made by college students regarding their residential location in relation to their educational institutions.  

This variable encompasses various factors, including proximity to campus, housing costs, availability of amenities, and other relevant considerations.

By investigating this predictor variable, researchers can analyze how students' living arrangements impact their academic performance.

They can explore whether students who choose to live closer to campus or in areas with certain amenities have better academic outcomes compared to those who choose different living arrangements.

To examine this relationship, researchers would collect data on students' living arrangements, such as whether they live on-campus, off-campus, or commute from a distance.

They would also collect data on academic performance measures, such as GPA, course grades, or graduation rates.

By comparing these variables, researchers can determine if there is a correlation or association between living decisions and academic performance.

Understanding the relationship between living decisions and academic performance can provide insights into factors that contribute to student success.

It can inform university housing policies, support services, and provide guidance to students in making informed decisions about their living arrangements during their college years.

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Question: The complete question may be like: If one wants to examine the relationship between college students' decision on where to live near campus and their academic performance, the _____ will be the predictor variable.

The mode is the value that appears most frequently in a dataset. In this case, the mode is 4, as it has the highest frequency of occurrence.

The median is the middle value when the data is arranged in ascending or descending order. Since there are an odd number of families (21 in total), the median will be the value of the 11th observation when the data is sorted. Arranging the data in ascending order, we find that the median is also 4, as it is the middle value.

The mean is the average value and is calculated by summing up all the values and dividing by the total number of observations. In this case, we can calculate the mean by multiplying each number of pets by its corresponding frequency, summing up these products, and dividing by the total number of families (21). Using this approach, the mean can be calculated as:

Mean = (0*2 + 1*1 + 2*8 + 3*1 + 4*9 + 5*0) / 21 ≈ 2.76

Therefore, based on the provided data, the mode, median, and mean number of pets owned by the families are all approximately 4.

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A person leaves their home at noon walking toward a restaurant located 16 miles away If the person walks constantly at 2.5 miles per hour, the person arrive at the restaurant at 6:24 PM.

To determine the time it will take for the person to arrive at the restaurant, we can use the formula:

Time = Distance / Speed

Given:

Distance to the restaurant = 16 miles

Walking speed = 2.5 miles per hour

Substituting these values into the formula, we can calculate the time:

Time = 16 miles / 2.5 miles per hour

Time = 6.4 hours

Since we know the person leaves their home at noon, we can add the calculated time to noon to find the arrival time:

Arrival Time = Noon + 6.4 hours

To express the arrival time in a standard 12-hour clock format, we convert 6.4 hours into hours and minutes:

0.4 hours * 60 minutes/hour = 24 minutes

So, the person will arrive at the restaurant at approximately 6 hours and 24 minutes after noon.

Therefore, the person will arrive at the restaurant at approximately 6:24 PM.

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To find an equation for the line in the form ax + by = c, we need to determine the values of a, b, and c. The line is parallel to the given line 3x + 8y = 13 and passes through the point (-24, 9). The equation of the line is -8x + 3y = -39.

The given line 3x + 8y = 13 can be rewritten as 8y = -3x + 13. We can see that the coefficient of x is 3 and the coefficient of y is 8. To find a line parallel to this, we need to keep the same coefficient ratio.

The slope of the given line is -3/8. Since parallel lines have the same slope, our new line will also have a slope of -3/8.

Using the point-slope form of a line, we have:

y - y1 = m(x - x1)

y - 9 = (-3/8)(x + 24)

8y - 72 = -3x - 72

3x + 8y = -144

To simplify the equation, we can multiply both sides by -1:

-3x - 8y = 144

Therefore, the equation of the line in the form ax + by = c, passing through (-24, 9) and parallel to 3x + 8y = 13, is -8x + 3y = -39.

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Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

The two inequalities representing the qualifying times for men and women in the Olympic marathon trials are:

m ≤ 138 (for men)
w ≤ 163 (for women)

To qualify for the Olympic marathon trials, the men's and women's times must be less than or equal to their respective qualifying times. So we'll write two inequalities:

1. For men (m): To qualify, they must run 2 hours and 18 minutes or faster. We'll convert this time to minutes: (2 hours * 60 minutes) + 18 minutes = 138 minutes. The inequality representing the men's qualifying times is:

m ≤ 138

2. For women (w): To qualify, they must run 2 hours and 43 minutes or faster. We'll convert this time to minutes as well: (2 hours * 60 minutes) + 43 minutes = 163 minutes. The inequality representing the women's qualifying times is:

w ≤ 163

So the two inequalities representing the qualifying times for men and women in the Olympic marathon trials are:

m ≤ 138 (for men)
w ≤ 163 (for women)

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Answer: Categorical bar graph

Step-by-step explanation: