Differentiate.
f(x) = log_7 (x^5+1)

Answer: 86.8 dollars per month

Answer: proportional

Step-by-step explanation: I took the test and looked it up on 3 different websites like duh

Answer:

43 I think

Step-by-step explanation:

Answer:

Not sure how you got 114, but SRU is equal to 70, and TRV is equal to 44, so if you do 180-70-44, you will get X which is 66

Step-by-step explanation:

The probability that the sample mean height will be less than 69 inches is 0.966 or 96.6%.

The normal distribution, like any other probability distribution, defines how well the values of a statistic are distributed. Because it accurately captures the range of values for many natural occurrences, it is the most significant probability distribution in statistics.

The formula for normal distribution is;

\(Z=\frac{\bar{X}-\mu}{\left(\frac{\sigma}{\sqrt{n}}\right)}\)

Where, X is the sample average( = 69).

μ is the mean (= 70).

σ is the standard distribution ( = 4)

n is the sample size (= 54).

Substituting above values in the formula;

\(z=\frac{69-70}{\left(\frac{4}{\sqrt{54}}\right)}\)

z = -1.83

So the likelihood that it sample mean is less than 69 would be the probability of Z will be greater than -1.83 This is determined using the Z-table:

P( < 69) = P(Z < -1.83) = 0.966

Therefore, the probability for getting the sample mean height will be less than 69 inches is 0.966 or 96%.

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The simplest form is 2x²√7y.

To simplify an expression suggests writing an equivalent expression that contains no equivalent terms. This means that we will rewrite the expression with the rarest terms possible.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

The simplest form is 2x²√7y.

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Answer:

(f+g)(2) = 5

Step-by-step explanation:

(f+g)(2) means

f(2) + g(2)

Add the functions and substitute in 2 for the x.

2^2 - 1 + 3(2) - 4

Simplify.

4 - 1 + 6 - 4

3 + 6 - 4

9 - 4

5

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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Answer:

the answer would be 7.23

Step-by-step explanation:

2.49 x 2 = 4.98

and

.75 x 3 =2.25

add 2.25 + 4.98 = 7.23

To incorporate the explosion box instructional material to present the four basic mathematical operations (addition, subtraction, multiplication, and division), we can design the box with specific compartments and decorations to visually represent each operation. Here's how the format would look:

The explosion box will visually demonstrate the four basic mathematical operations.

Addition: One compartment of the explosion box can be dedicated to addition. It can include colorful stickers or cut-outs of numbers. Inside the compartment, we can place two numbers, for example, 3 and 4. The instruction could be to add them together. By counting the total number of stickers or cut-outs, we get the sum, which in this case is 7.

Subtraction: Another compartment can be assigned to subtraction. It can have numbers arranged in a descending order, such as 8 and 5. The instruction could be to subtract 5 from 8. By removing the corresponding number of stickers or cut-outs, we calculate the result, which is 3.

Multiplication: The explosion box can feature a compartment with arrays of stickers or cut-outs. For instance, there could be two rows of three stickers each. The instruction might be to multiply 2 by 3. By counting the total number of stickers or cut-outs, we find the product, which is 6.

Division: A separate compartment can represent division. It could contain a set of objects or stickers that need to be divided equally among a certain number of groups. For example, 12 stickers can be divided into 3 equal groups. By distributing the stickers evenly, we can calculate that each group receives 4 stickers.

The explosion box instructional material creatively incorporates visual representations to teach the four basic mathematical operations. By engaging students with hands-on activities and colorful visuals, the concept becomes more tangible and enjoyable. This interactive approach promotes a deeper understanding of these fundamental operations and enhances the learning experience.

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Answer:

So if theres two people who can have a drink thats the same and a dessert thats different, then there are 40 different ways you can have one drink with a different dessert.

Step-by-step explanation:

Drinks: 4

Desserts: 10

There are ten desserts for every drink.

10*4, or 10 times 4, equals 40.

Using boosting with 1,000 trees on the Hitters data set, after removing observations with unknown salary information and log-transforming salaries, results in a test set MSE (Mean Squared Error) value.


1. Remove observations with unknown salary information from the Hitters data set.
2. Log-transform the remaining salaries.
3. Create a training set with the first 200 observations and a test set with the remaining observations.
4. Apply the boosting algorithm on the training set, using 1,000 trees as the parameter.
5. Evaluate the performance of the boosting model on the test set by calculating the Mean Squared Error (MSE). The test set MSE will give you an indication of the model's accuracy in predicting salary based on the provided data.

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Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

  no. A proportional relationship has a starting value of 0.

Step-by-step explanation:

The starting value of 200 means the relationship cannot be proportional. The starting value is always zero in a proportional relationship.

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

135 degree angle

Step-by-step explanation:

45+135=180

all angles equal to 180 degrees

hope it helps

The density of water is 1 gram per milliliter, which means that 1 milliliter of water weighs 1000 milligrams (1 gram).

Milligrams (mg) and milliliters (ml) are two different units of measurement used for different purposes. Milligrams are used to measure mass or weight, while milliliters are used to measure volume or capacity.

The conversion between milligrams and milliliters depends on the density of the substance being measured. The density is a measure of the amount of mass per unit of volume.

In general, the conversion between milligrams and milliliters is not straightforward and requires knowing the density of the substance being measured. However, for liquids with a density of approximately 1 gram per milliliter, 1 milliliter is equivalent to 1000 milligrams.

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Answer:

traingle

Step-by-step explanation:

back in the 6 grade i got the bad grades i was in love with my tutor

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

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Answer:

At least about 160 people.

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

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Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.

The number of vertices of tree having 12 edges are 13 .

Given,

Number of edges of a complete binary tree = 12.

Now,

The relation between number of edges and vertices of a binary tree is vertices are always one more than the edges of a binary tree .

According to the statement the relation between edges and vertices of a binary tree will be:

Number of vertices = number of  edges + 1

Here,

calculating vertices when edges are given.

Number of edges = 12

Number of vertices = 12 + 1

Number of vertices = 13

Hence the number of vertices in a binary tree is 13 .

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

The time dilation using the Lorentz transformation formula is presented as follows;

\(t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } \)

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\(\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8\)

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

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x/9>12

x>12×9

x>108

This is your answer

The spread of the data in the histogram is uneven or skewed to the right.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

The data distribution in the histogram is uneven or tilted to the right. This suggests that there are fewer students who have gone water skiing less frequently (1 to 5 trips) and more students who have gone water skiing more frequently (11 to 15 trips). The frequency is greatest between 11 and 15 visits, which is reflected by the largest bar in the histogram.

In given problem, the skewed distribution of the given data shows that there are more no. of the students doing water-skiing regularly than those who are doing it less frequently.

This might imply that there is a group of students who are more experienced or enthusiastic about water skiing, and they have gone on more excursions than other students who have gone on less trips. It also implies that the majority of students fall within the 11 to 15 trip period, which might imply a common pattern or trend in the data.

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The best description of the spread of the data is that it is skewed or unevenly distributed.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

Based on the given histogram, the data is not evenly distributed across the five intervals. The majority of students have been water-skiing between 11 and 15 times, with a frequency of 5. There are fewer students who have been water-skiing between 16 and 20 times, with a frequency of 4, and even fewer students who have been water-skiing between 21 and 25 times, with a frequency of 3.

The spread of the data refers to how far apart the values in the dataset are from each other. In this case, the data is not evenly spread across the different intervals. The values in the dataset are more concentrated in the interval of 11 to 15, and less concentrated in the intervals of 1 to 5 and 21 to 25. This indicates that the majority of students have been water-skiing a similar number of times, while fewer students have been water-skiing either a lot or a little.

Therefore, the best description of the spread of the data is that it is skewed or unevenly distributed.

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The complete question is:

A group of students was asked about the number of times they had been water-skiing. The data is shown in the histogram.

A histogram titled Water Skiing Trips. The x-axis is labeled Number of Times Water Skiing and has intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every 1 units up to 6. There is a shaded bar for 1 to 5 that stops at 1, for 6 to 10 that stops at 2, for 11 to 15 that stops at 5, for 16 to 20 that stops at 4, and for 21 to 25 that stops at 3.

Which of the following best describes the spread of the data? Explain its meaning in this situation?

Answer:

y = 4/3x + 4

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (0,4) and (3,8)

We see the y increase by 4 and the x increase by 3, so the slope is

m = 4/3

Y-intercept is located at (0,4)

So, the equation is y = 4/3x + 4

The slope of the line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 4) and (x2, y2) = (3, 8)

slope = (8 - 4) / (3 - 0) = 4/3

Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the given points. Choosing (0, 4) as the point, we get:

y - 4 = (4/3)(x - 0)

Simplifying:

y - 4 = (4/3)x

y = 4/3 x + 4

Therefore, the equation of the line is y = 4/3 x + 4.