For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?

A) 64
B) 128
C) 8
D) 4

We conclude that there is convincing evidence to reject the null hypothesis. Therefore, the data provide convincing evidence that the distribution has changed.

Based on the given information, a chi-square goodness-of-fit test was conducted to determine whether there is convincing evidence that the distribution has changed. The test statistic is 10.13 and the p-value is 0.0175.

To interpret these results, we need to compare the p-value to a predetermined significance level (α), which is usually set at 0.05.

Step 1: Compare the p-value to the significance level
- If the p-value ≤ α, then there is convincing evidence to reject the null hypothesis (i.e., the distribution has changed).
- If the p-value > α, then there is not enough evidence to reject the null hypothesis (i.e., no convincing evidence that the distribution has changed).

In this case, the p-value (0.0175) is less than the typical significance level (0.05)

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Answer: Its c

Step-by-step explanation:

Answer:

x-intercepts: x=3, -5

Step-by-step explanation:

y = x^2 + 2x − 15

y = x^2 + 5x - 3x − 15  ==> 5*(-3)=-15 and 5+(-3) = 5-3=2

y = x^2 + 5x - 3x − 15

y = x(x+5) - 3(x+5)

y = (x-3)(x+5)

x-3=0  ==> x=3

x+5=0 ==> x=-5

x-intercepts: x=3, -5

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a) The old monthly payment was =  9.27 × 50 = 463.5

b) The new monthly payment is = 11.10 × 50 = 555

c) The percent increase in his monthly payment is 1.947 %

With a 25-year, 10.25% adjustable rate mortgage, Sandra Williams purchased a property. She made monthly payments of $9.27 per thousand on his initial debt.

According to the question,

The per thousand value of $65000 is, 50000/1000 = 50

Now, the old monthly payment was =  9.27 × 50 = 463.5

She makes the decision to renew and will now make monthly loan payments of $11.10 per thousand.

So, the new monthly payment is = 11.10 × 50 = 555

The percent increase in his monthly payment is = 11.10 /9.27 - 1 × 100

⇒ 19.7411 %

And to nearest tenth it is 1.947%

Hence, the old monthly payment was =  9.27 × 50 = 463.5

The new monthly payment is = 11.10 × 50 = 555

Thus, the percent increase in his monthly payment is 1.947%.

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The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

\(\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12\)

Therefore, the final value of x is "12".

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Answer:

11x + 6y + 37

Step-by-step explanation:

Answer: 192 is the volume of the shape

Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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There is not enough evidence to support the claim that convicted burglars spend an average of 18.7 months in jail

State the null hypothesis (H0) and the alternative hypothesis (Ha)

H0: μ = 18.7 (The population mean is equal to 18.7 months)

Ha: μ ≠ 18.7 (The population mean is not equal to 18.7 months)

Select the significance level (α)

In this case, the significance level is given as 0.05, which corresponds to a 95% confidence level.

Since the population standard deviation (σ) is unknown and the sample size is small (n = 11), we use the t-distribution.

t = (x(bar) - μ) / (s / √n), where x(bar) is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values: t = (20.6 - 18.7) / (7.8 / √11) t ≈ 1.506

Since the alternative hypothesis is two-tailed (μ ≠ 18.7), we need to find the critical t-values that correspond to the chosen significance level and the degrees of freedom (df = n - 1 = 11 - 1 = 10). With α = 0.05 and df = 10, the critical t-values can be obtained from a t-table or a statistical calculator. For a two-tailed test at α = 0.05, the critical t-values are approximately ±2.228.

If the absolute value of the test statistic is greater than the critical t-value(s), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

In this case, |1.506| < 2.228, so the test statistic does not exceed the critical value. Therefore, we fail to reject the null hypothesis.

Based on the test results, there is not enough evidence to support the claim that convicted burglars spend an average of 18.7 months in jail.

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Question is in complete the complete question is :

A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x(bar) =20.6 months and s=7.8 months. Test the claim that μ = 18.7 months at the 0.05 significance level.

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

The Pearson correlation measures the strength and direction of the linear relationship between two variables. A correlation coefficient of -1 indicates a perfect negative linear relationship, a correlation coefficient of 0 indicates no linear relationship, and a correlation coefficient of +1 indicates a perfect positive linear relationship.

In general, the closer the absolute value of the correlation coefficient is to 1, the closer the data points will be to a straight line. Therefore, among the given options, the correlation coefficient that would result in data points being clustered most closely around a straight line is option (c) r = –0.70, which indicates a strong negative linear relationship between the two variables. When the correlation is close to -1, the data points tend to form a straight line with a negative slope, indicating a strong and consistent negative relationship between the two variables.

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

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Answer:

Step-by-step explanation:

1). Geometric mean of a and b = \(\sqrt{a\times b}\)

   Therefore, geometric mean of 2 and 50 = \(\sqrt{2\times 50}\)

                                                                       = 10

2). By geometric mean theorem,

   \(\frac{JM}{KM}=\frac{KM}{ML}\)

   \(\frac{6}{e}=\frac{e}{24}\)

   e² = 6 × 24

   e = √144

   e = 12

  Similarly, \(\frac{JL}{KJ}=\frac{KJ}{JM}\)

   \(\frac{6+24}{d}=\frac{d}{6}\)

   d² = 6 × 30

   d = √180

   d = 6√5

   And \(\frac{JL}{KL}=\frac{KL}{ML}\)

   \(\frac{6+24}{c}=\frac{c}{24}\)

   c² = 30 × 24

   c = √720

   c = 12√5

In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

To calculate the time standard in minutes per piece (before allowances), we need to consider the production rate, the number of machines, and the number of operators.

Given that 9 machines are producing 564 pieces per hour, we can calculate the production rate per machine by dividing the total production rate by the number of machines:

Production rate per machine = Total production rate / Number of machines

In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

Next, we need to factor in the number of operators required. Since 3 operators are required, the time standard per piece can be calculated by dividing the production time by the number of pieces:

Time standard per piece = (60 minutes / Production rate per machine) / Number of operators

By plug in the given values into the formula and performing the calculation, we can determine the time standard in minutes per piece before allowances.

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To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.

A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.

The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.

For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.

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Answer:

\(6m - 14\)

Step-by-step explanation:

\(2(m + 5) + 4(m - 6) \\ = 2m + 10 + 4(m - 6) \\ = 2m + 10 + 4m - 24 \\ = (2m + 4) + (10 - 24) \\ = 6m - 14\)

The derivatives of f'(-5) = -3 , f'(0) = 7 , f'(9) = 25

To find the derivatives at the given points, we need to find the derivative of the function \(f(x) = x^2 + 7x - 7.\)

The derivative of f(x) with respect to x (denoted as f'(x)) is obtained by differentiating each term of the function individually.

\(f(x) = x^2 + 7x - 7\)

Differentiating the function term by term:

\(f'(x) = d/dx (x^2) + d/dx (7x) - d/dx (7)\)

Taking the derivatives:

f'(x) = 2x + 7 - 0

f'(x) = 2x + 7

Now we can evaluate f'(x) at the given points:

f'(-5) = 2(-5) + 7 = -10 + 7 = -3

f'(0) = 2(0) + 7 = 0 + 7 = 7

f'(9) = 2(9) + 7 = 18 + 7 = 25

Therefore:

f'(-5) = -3

f'(0) = 7

f'(9) = 25

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Answer:

143.5

Step-by-step explanation:

Answer:

Non-linear and as it does not have a constant rate of change.

Hence, Faye is correct.

This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

The missing part in the question is shown below.

A medical researcher surveys all shoulder surgery patients

in each of 9 randomly selected counties in North Carolina.

Which type of sample does this represent?

A. Cluster sample.

B. Stratified sample.

C. Convenience sample.

D. Simple random sample.

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The 9th term of this geometric sequence 10, 40, 250, 1250, ....​ include the following: 655,360.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 40/10

Common ratio, r = 4

For the 9th term, we have:

a₉ = 10(4)⁹⁻¹

a₉ = 655,360.

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Answer:

Youth tickets = $4

Step-by-step explanation:

Let x and y represent the price of adults and youth tickets respectively;

Given;

A youth ticket is half the price of an adult ticket

y = 0.5x ......1

They paid $24 for 2 adult tickets and 2 youth tickets.

2y + 2x = 24 ......2

Substituting equation 1 into 2;

2(0.5x) + 2x = 24

x + 2x = 24

3x = 25

x = 24/3 = 8

Since, y = 0.5x

y = 0.5(8) = 4

Adult tickets = $8

Youth tickets = $4

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

Answer: 35000

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The numbers that are not potential rational roots of the polynomial function, are numbers other than any of \(\pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58\)

The polynomial function is given as:

\(g(x) = 8x^3 + 15x^2 - 7x -5\)

The potential rational roots of a polynomial function g(x).

Such that: \(g(x) = px^n + ....+q\)

is:

\(Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}\)

So, we start by listing out the factors of 5 and 8

\(5 =1 ,5\)

\(8 =1 ,2,4,8\)

\(Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}\) becomes

\(Roots = \pm \frac{1,5}{1,2,4,8}\)

Simplify

\(Roots = \pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58\)

Hence, the numbers that are not potential rational roots of the polynomial function, are numbers other than any of \(\pm 1, \pm \frac 12,\pm \frac 14,\pm \frac 18,\pm 5, \pm \frac 52, \pm \frac 54, \pm \frac 58\)

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We can conclude that the perimeter of DEF is 20.25.

Given that DEF~CBF, DF = 6, and FC = 8.

We are supposed to find the perimeter of DEF.

To solve this question, we need to know that when two triangles are similar, the ratio of their corresponding sides are in proportion.

Using this information, we can say that the ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.

Therefore, we can use the following proportion to find the perimeter of DEF and CBF:

Perimeter of DEF/Perimeter of

CBF=DF/FC

= 6/8

= 3/4

Let P be the perimeter of DEF.

Using the above proportion, we can write:

Perimeter of DEF = (DF/FC) × Perimeter of CBF

= (3/4) × 27

= 20.25

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Answer: Where is the question.

Step-by-step explanation: Where is the question.

Answer:

25%

Step-by-step explanation:

2/8 is equal to 1/4.

Now lets just say that the entire circle is 100%, or completely filled.

1/4 of 100 is 25. Then since it's already in terms of one hundred, we can say that 2/8 of a circle is 25% of it.

Answer: 1/4

Step-by-step explanation: 1/8 is half of 1/4 and 2/8 if simplified is 1/4