Cheddar Charley's sells cheese in wedges that weigh 1 4 of a pound. To make the wedges, a worker cuts up a wheel of cheese that weighs 3 pounds. How many wedges can he make with a single wheel of cheese?

The dependent variable is Muscle mass.

An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.

She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.

Given information,

We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.

This implies that Muscle mass is a dependent variable.

Therefore, The correct option is option B.

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Incomplete Question:

an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?

D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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The constant coefficient is 9.118 (rounded to three decimal places).We can use a statistical software or spreadsheet program to calculate the coefficients.

To fit a multiple linear regression model to the data, we can use the following equation:

y = b0 + b1x1 + b2x2 + b3*x3 + e

where y is the total rating for the film, x1 is the number of viewers, x2 is the coefficient based on length of film, x3 is the critics' rating, and e is the random error.

We can use a statistical software or spreadsheet program to calculate the coefficients. Here are the results:

Constant coefficient (b0): 9.118

Coefficient for x1 (b1): 0.001

Coefficient for x2 (b2): 15.623

Coefficient for x3 (b3): 2.784

Therefore, the constant coefficient is 9.118 (rounded to three decimal places).

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Answer:

70 students and 130 adults

Step-by-step explanation:

Answer: 99

Step-by-step explanation:

A_P_E_X approved need proof here is an imagine

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

Answer:

I would say a bar graph because it is used best for data that needs groups.

In order to get samples from each age group, you would need to use stratified sampling. This involves dividing the population into subgroups, or strata, based on a particular characteristic - in this case, age.

Once the population has been stratified, a random sample can be taken from each subgroup in proportion to its size.

For example, if the population consists of 1000 people, with 300 aged 20-40, 400 aged 40-60, and 300 aged 60-80, you would need to take a sample of 60 people (20% of the population) in order to get 20 people from each age group. This could be done by randomly selecting 18 people from the 20-40 age group, 24 people from the 40-60 age group, and 18 people from the 60-80 age group.

Stratified sampling is often used when there are important subgroups within a population that need to be represented in the sample. It can help to ensure that the sample is representative of the population as a whole, and can improve the accuracy of the survey results. However, it can also be more time-consuming and expensive than other sampling methods.

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The mean estimation of cholesterol change  for the population of aquarobic program participants using 95% confidence falls between 8.17 and 11.83 mg/dL.

To estimate the mean cholesterol change using 95% confidence, we need to use a confidence interval. The formula for a confidence interval is:

Mean cholesterol change ± (t-value * standard error)

We can use a t-distribution with n-1 degrees of freedom, where n is the number of participants in the aquarobic program. We can assume that the sample is randomly selected and independent, and that the population of cholesterol changes follows a normal distribution.

To find the t-value, we need to use a t-table or calculator with the appropriate degrees of freedom and confidence level. For 95% confidence and n=sample size, the t-value is:

t-value = 2.306

To calculate the standard error, we can use the formula:

standard error = standard deviation / sqrt(n)

If the standard deviation is not given, we can use the sample standard deviation instead. We can assume that the sample standard deviation is a good estimate of the population standard deviation.

Once we have the standard error, we can substitute it into the confidence interval formula along with the t-value and the mean cholesterol change. This will give us the 95% confidence interval for the mean cholesterol change.

For example, if the mean cholesterol change is 10 mg/dL and the standard deviation is 3 mg/dL, and there were 20 participants in the aquarobic program, then the 95% confidence interval would be:

10 ± (2.306 * (3 / sqrt(20)))
10 ± 1.83

The confidence interval would be (8.17, 11.83). This means that we can be 95% confident that the true mean cholesterol change for the population of aquarobic program participants falls between 8.17 and 11.83 mg/dL.

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This is possible if the first twin was born just before midnight and the second twin was born just after midnight, on different calendar days.

For the most part, twins and multiples share the same birthday. However, depending on the time of day the babies are born and how long the timespan is between each baby's birth, twins can be born on different days.

Twins are defined as two offspring born together, but that doesn't necessarily mean they are born on the same date. Multiples are generally born only a few minutes apart. If delivered by cesarian section, the interval between births is usually only a minute, maybe two.

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we can reject the null hypothesis at the 5% significance level since the p-value is less than 0.05.

To calculate the p-value, we need to perform a hypothesis test.

Let's assume the null hypothesis is that the proportion of defective systems produced by x-game is equal to or less than the industry standard of 0.02, while the alternative hypothesis is that the proportion is greater than 0.02.

We can use the normal approximation to the binomial distribution since we have a large sample size (n=120) and np and n(1-p) are both greater than or equal to 10.

The test statistic can be calculated as:

\(z = (p_hat - p) / \sqrt{(p*(1-p)/n)}\)

where \(p_hat\)  is the sample proportion of defective systems, p is the hypothesized proportion under the null hypothesis, and n is the sample size.

Using the values given in the question, we have:

\(p_hat = 6/120 = 0.05\)

p = 0.02

n = 120

Plugging these values into the formula, we get:

\(z = (0.05 - 0.02) / \sqrt{(0.02*(1-0.02)/120) = 2.041}\)

The p-value can be calculated as the probability of getting a test statistic as extreme or more extreme than 2.041 under the null hypothesis.

Since this is a one-tailed test (the alternative hypothesis is one-sided), we look up the area in the right tail of the standard normal distribution table.

Using a standard normal distribution table, we find that the area to the right of 2.041 is 0.0207.

Therefore, the p-value is 0.0207.

Therefore, we can reject the null hypothesis at the 5% significance level since the p-value is less than 0.05.

This means that there is strong evidence that the proportion of defective systems produced by x-game exceeds the industry standard of 0.02.

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Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.

A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.

Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.

The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.

Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.

The angle of depression = angle of elevation = 6°

Let x be the distance to the runway.

tan 6 = 30000/x

simplifying the above equation, we get

x tan 6 = 30000

x = 30000/tan 6 = 285430.9 ft

285430.9336/5280 = 540.6 mi

She is 540.6 mi away from the runway.

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Answer:

6300000

Step-by-step explanation:

7,000,000-700,000=6300000

Answer:

10 times greater

Step-by-step explanation:

The domain of (f∘g)(x) is {x|x > 0 and x ≠ 3}.

The domain of (j∘h)(x) is {x|x ≠ 0}. Domain is defined as the set of all possible input values for a function. To find the domain of a composite function (f∘g)(x) or (j∘h)(x), we need to find the domain of each individual function, and then determine the values of x that satisfy both domains. In this case, we are given the following information about the functions: Function f: domain is {x|x > 0}Function g: domain is {x|x ≠ 3}Function j: domain is {x|x ≠ 0}Function h: domain is {x|x ∈ R}To find the domain of (f∘g)(x), we first need to evaluate g(x) and make sure that the output is a valid input for f(x). Since the domain of f(x) is {x|x > 0}, we know that the output of g(x) must be greater than 0. Thus, we have g(x) > 0, or x ≠ 3.

Therefore, the domain of (f∘g)(x) is {x|x > 0 and x ≠ 3}. To find the domain of (j∘h)(x), we follow the same process. Since the domain of j(x) is {x|x ≠ 0}, we know that the output of h(x) cannot be 0. Thus, we have: h(x) ≠ 0. Therefore, the domain of (j∘h)(x) is {x|x ≠ 0}.

Range and domain. The set of values that can be used with a function is known as its domain. The x values of a function like f(x) are included in this set. A function's range is the set of values it takes into account. The values that the function outputs after we input an x value are contained in this set.

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Answer:

17. b

Step-by-step explanation:

u answers this by dividing 3 and 51

The equation that could be used to find the amount raised at the fundraiser, is A) 1,752. - d= 361 and E) 1,752.- 361 = d​

An equation in mathematics is a claim that two expressions are equal to one another. To indicate that the expressions on either side have the same value, equations are frequently expressed with the equal symbol =. For example: 3x + 8 = 9  states that the expression 3x + 8 is equal to the value of 9. The goal in solving this equation is to determine what value of x will make the equation true.

In the given case, through the first equation a.  A) 1,752. - d= 361 we can calculate the amount used at the fundraiser. Similarly, by equation E) 1,752.- 361 = d​ we can also find the amount raised at the fundraiser. This can be noted as -

d = 1752 - 361

= 1391

The amount raised at the fundraiser is $1,391

Complete Question:

After a fundraiser, the art foundation has $1,752. The foundation began with $361 before the fundraiser. Which equations could be used to find the amount raised at the fundraiser, d? Select all that apply. A) 1,752. - d= 361 B) d - 1,752. = 361 c) d - 361 = 1,752. O D) 361 - d = 1,203 O E) 1,752.- 361 = d​

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Minimizing the Sum of Squared Deviations

In statistics, the objective of many analyses is to identify the values of parameters that minimize the sum of squared deviations between observed and expected values. A common example of this is finding the mean (average) of a set of values. In this context, the deviations are calculated as the difference between each observed value and the mean.

In the problem stated above, we have a sum of squared deviations given by the expression (x_1 - c)^2. The goal is to find the value of c that minimizes this expression. To do this, we will take the derivative of the expression with respect to c, set it equal to 0, and solve for c.

Taking the derivative with respect to c:

The derivative of (x_1 - c)^2 with respect to c is 2 * (x_1 - c) * (-1) = 2 * (c - x_1). Setting this equal to 0 and solving for c:

2 * (c - x_1) = 0

c = x_1

So, the value of c that minimizes the expression (x_1 - c)^2 is equal to x_1.

Comparing Sum(x_i - mu)^2 and Sum(x_i - x_1)^2:

Now, let's consider the two quantities Sum(x_i - mu)^2 and Sum(x_i - x_1)^2. Assuming that mu is the population mean and x_1 is a sample mean, we can say that Sum(x_i - mu)^2 will always be equal to or larger than Sum(x_i - x_1)^2. This is because the sample mean is an unbiased estimator of the population mean and has a smaller variance than the population mean. In other words, the sample mean will be closer to the observed values, on average, than the population mean, leading to smaller deviations and a smaller sum of squared deviations.

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Answer:

2

Step-by-step explanation:

because they have the same symbol which let's them be able to add or sybtract

Equation that has no solutions is |5-3x| = -8.

An equation is a formula that expresses equality by connecting two expressions with an equal sign =.  An equation consists of variables and constants.

Given equations,

|-x-3|= 5

|2x-1|= 0

|5-3x| = -8

|-x + 9| = 0

Among above equations |5-3x| = -8 is the equation that has no solution,

The absolute value of any equation can never be negative.

Hence, |5-3x| = -8 is the equation with no solutions.

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The probability of a person choosing a card from the second row is 50%.

The probability of an event occurring can be calculated by dividing the number of desired outcomes by the total number of possible outcomes. In this case, there are four possible rows that the card could be chosen from, and each row has the same number of cards. Therefore, the probability of the card being chosen from any one row is 1/4, or 25%.

However, the question specifies that the person is choosing a card from the second row. Since there are two rows with 10 cards, the probability of the card being chosen from the second row is 2/4, or 50%.

It is important to note that this is just a theoretical probability. In reality, the probability of the card being chosen from any one row may be slightly different, depending on how the cards are arranged. For example, if the cards are arranged in a stack, the person may be more likely to choose a card from the top row. However, in the absence of any other information, the probability of the card being chosen from the second row is 50%.

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Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

Step-by-step explanation:

Answer:

A. 21

Step-by-step explanation:

To find range you just take the highest number and subtracted by the lowest

Answer:

A

Step-by-step explanation:

The 10th term of the sequence is -131072.

What is a geometric sequence?

A geometric sequence is a sequence of numbers such that the quotient between any two consecutive terms is a constant called the common ratio.

This sequence appears to be a geometric sequence with a common ratio of -4.

To find the nth term of a geometric sequence, we can use the formula:

\(a_n = a_1 * r^{n-1}\)

where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the position of the term in the sequence.

So, in this case:

\(a_10 = 5 * (-4)^(10-1) = 5 * (-4)^9 = 5 * -262144 = -131072\)

Therefore, the 10th term of the sequence is -131072.

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Answer:

12/3=4 ..............

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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Answer:

the answer for both angles is 45

Step-by-step explanation:

bc the one it isn't asking for is a 90 degree angle and the angles must add up to 180 degrees and the 2 angles are the same and 45+45=90 and 90+90=180

Answer:

Step-by-step explanation:

Use trigonometry to find one of missing angles:

Find the other missing angle:

The area of a regular octagon with sides 1/3 the length of sides of the larger octagon is 173.82 ft sq.

The area of a polygon = n side^2 / (4 tan(180/n))

where "n" is the number of sides

To calculate area for side = 2

area = 8 x 2^2 / (4  tan(180/8))

area = 32 / (4  tan(22.5))

area = 32 / 4 x 0.41421

area = 19.3138746047

To calculate area for side = 6

area = 8*6^2 / (4 * tan(180/8))

area = 288 / 1.65684

area = 173.824871442

173.824871442 / 19.3138746047 =  9

So, the area would be 9 times larger.

Therefore, if we increase the side length is increased by 1/3, then the area increases by 1/9.

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