Find the mean of this set of numbers 42,78,81,23,12

Answer:

Step-by-step explanation:

b

It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.​

1. C. Discrete

2. A. interval

3. B. Quantitative data

4. B. Ratio

5. C. Quantitative

1. A random variable is called discrete if it has either a finite or a countable number of possible values.

A random variable is called continuous if its possible values contain a whole interval of numbers.

2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.

3. Quantitative data consist of numerical measurements or counts.

4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.

There is no value possible below 0 degrees Kelvin, it is absolute zero.

5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.

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Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

The final value of the investment at a rate of 4.75% compounded continuously for 25 years is $49,183.11.

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Plug the given values into the above formula and solve for A.

A = P × e^(rt)

A = $15,000 × e^( 4.75% × 25 )

A = $15,000 × e^( 4.75/100 × 25 )

A = $15,000 × e^( 0.0475 × 25 )

A = $15,000 × (2.71828)^1.1875

A = $49,183.11

Therefore, the accrued amount of the investment is $49,183.11.

Option A is the correct answer.

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Answer:

$49,183.11

Step-by-step explanation:

I got it right.

Answer:

42

Step-by-step explanation:

Given that,

210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left.

The factor of 210 = 2×3×5×7

The factor of 252 = \(2^{2}\times 3^{2}\times 7\)

The factor of 294 = \(2\times 3\times 7^{2}\)

We need to find the biggest possible number of cartons needed. It can be calculated by taking HCF of the above numbers.

The HCF of 210, 252 and 294 = 2×3×7

= 42

Hence, 42 is the biggest possible number of cartons needed.

The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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Answer:

13

Step-by-step explanation:

Assuming the average human lifespan is 79 years then youll see a comet about 13 times in your life

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer:

\( \frac{13}{15} \)

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

\(P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} \)

hope this helps you.

Have a nice day!

For problems 7-9, a pair of fair dice is rolled. In 7 the probability is 5/36. In 8 the probability 1/2. In 9 the probability 11/12. In 10 the probability 17/36.

7. Find the probability that the sum is at most 5.To solve this, let's find the possible outcomes that can result in a sum of 5 or less.

The possible outcomes are: {(1, 1), (1, 2), (2, 1), (1, 3), (3, 1)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is at most 5 is: (5 outcomes) / (36 total outcomes) = 5/36.

8. Find the probability that the sum is a multiple of 2 or a multiple of 3.To solve this, let's find the possible outcomes that can result in a sum that is a multiple of 2 or 3.

The possible outcomes are: {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is a multiple of 2 or a multiple of 3 is: (18 outcomes) / (36 total outcomes) = 1/2.

9. Find the probability that the sum is at least 4.To solve this, let's find the possible outcomes that can result in a sum of 4 or greater.

The possible outcomes are: {(1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is at least 4 is: (33 outcomes) / (36 total outcomes) = 11/12.

10. Find the probability that the sum is not an even number. Let's find the possible outcomes that can result in an odd number sum.

The possible outcomes are: {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is not an even number is: (17 outcomes) / (36 total outcomes) = 17/36.

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Answer:

Step-by-step explanation:

Given:

Find z-score:

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

The form of the particular solution for the given differential equation is:

\(y_p(t) = (At^3 + Bt^2 + Ct + D)e^(-3t)sin(5t) + (Et^3 + Ft^2 + Gt + H)e^(-3t)cos(5t)\)

To determine the form of a particular solution for the given differential equation \(y'' + 6y' + 34y = 16t^3e^{-3t}sin(5t)\) using the method of undetermined coefficients, we need to assume a form for the particular solution based on the non-homogeneous term.

In this case, the non-homogeneous term is \(16t^3e^(-3t)sin(5t)\). To determine the form of the particular solution, we consider the highest degree term of t, which is \(t^3\).

Since we have \(t^3\) in the non-homogeneous term, we assume a particular solution of the form:

\(y_p(t) = (At^3 + Bt^2 + Ct + D)e^(-3t)sin(5t) + (Et^3 + Ft^2 + Gt + H)e^(-3t)cos(5t)\)

Here, A, B, C, D, E, F, G, and H are coefficients to be determined.

By substituting this assumed form of the particular solution into the differential equation, we can equate the coefficients of like terms on both sides and solve for the coefficients A, B, C, D, E, F, G, and H.

However, as per the instructions, we are only determining the form of the particular solution and not evaluating the coefficients.

Therefore, the form of the particular solution for the given differential equation is:

\(y_p(t) = (At^3 + Bt^2 + Ct + D)e^(-3t)sin(5t) + (Et^3 + Ft^2 + Gt + H)e^(-3t)cos(5t)\)

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Answer:

1/8 cups per teaspoon

Step-by-step explanation:

5/8 cup sugar per 5 teaspoons of vanilla

(5/8 ) divide in 5 will give us how much per 1 teaspoon

(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8

Answer:

1/0=0

Step-by-step explanation:

Answer:

hmm..

Step-by-step explanation:

Answer:

x= -9,  y= 2

Step-by-step explanation:

5y=10

y=2

x+2=-7

x=-9

Answer:

Step-by-step explanation:

\(x + y = - 7\)

\( - x + 4y = 17\)

\(y = - 7 - x\)

\(x = 4y - 17\)

\(y = - 7 - 4y + 17\)

\(5y = 10 \\ y = 2\)

\(x = 4y - 17 = 4 \times 2 - 17 = 8 - 17 = -9 \\ x = -9\)

Using correlation coefficients, it is found that the correct option is:

B The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.

In this problem, the correlation coefficient of −0.91, meaning that there is a strong inverse relation between the location of the game and the team's winning percentage, that is, the team is more likely to win on the road, hence, option B is correct.

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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Answer:

$121

Step-by-step explanation:

First fin 10% of 110

11

then add that to 110

121

Answer:

$11

Step-by-step explanation:

Answer: The length of the carton is 168 cm.

Step-by-step explanation: To find the length of the carton, we need to know how many tins fit along its width and height as well. Since we are not given this information, we will assume that the carton is packed in the most efficient way possible, which means that there are no gaps between the tins and that the tins are arranged in a hexagonal pattern. This pattern allows for the maximum number of circles to fit in a given area.

To find the width of the carton, we need to multiply the diameter of one tin by the number of tins along one row. The diameter of one tin is twice the radius, so it is 14 cm. The number of tins along one row is half the number of tins along the length, since each row is staggered by half a tin. Therefore, the number of tins along one row is 6. The width of the carton is then 14 cm x 6 = 84 cm.

To find the height of the carton, we need to multiply the height of one tin by the number of tins along one column. The height of one tin is 20 cm. The number of tins along one column is equal to the number of rows, which is determined by dividing the width of the carton by the distance between two adjacent rows. The distance between two adjacent rows is equal to the radius times √3, which is about 12.12 cm. Therefore, the number of rows is 84 cm / 12.12 cm ≈ 6.93. We round this up to 7, since we cannot have partial rows. The height of the carton is then 20 cm x 7 = 140 cm.

The length of the carton is already given as 12 times the diameter of one tin, which is 14 cm x 12 = 168 cm.

Therefore, the dimensions of the carton are:

Length: 168 cm

Width: 84 cm

Height: 140 cm

Hope this helps, and have a great day! =)

Simple

Step-by-step explanation:

State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!

Answer:

Here's the new and improved essay. I made sure to add the literary devices.

Step-by-step explanation:

My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime  shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.

The athlete that has the shortest training ride is athlete A.

The athlete that has the shorter range is Athlete B.

The athlete that has the greater median is Athlete B.

The athlete that has the greater IQR is  athlete A.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.

Range of Athlete A = 36 - 13 = 13

Range of Athlete B = 30 - 19 = 11

Training ride of  Athlete A = 16

Training ride of  Athlete B = 21

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median of  Athlete A = 20

Median of  Athlete B = 25

IQR of  Athlete A = 30 - 16 = 14

IQR of  Athlete B = 28 - 21 = 7

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Answer:

It is possible, but you must first measure the width.

Step-by-step explanation:

It is possible, but you must be sure.

Answer:

they whould need diffrent width and length

Step-by-step explanation:

imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

in triangle ABD

x+6+2x-3+90=180(sum of interior angle of triangle) (since each angle of rectangle=90)

3x+3=180-90

3x=90-3

x=87/3=29°

<DBC=<ADB{ALTERNATE ANGLE)=2x-3=2×29-3=55°

<BDC=ABD(ALTERNATE ANGLE)=x+6=29+6=35°

<ADH=180-<ADB{LINEAR PAIR)=180-2x-3=180-2×29-3=180-58-3=119°

<EBG=<DBC(VERTICALLY OPPOSITE ANGLE)=55°

Answer:

solved

Step-by-step explanation:

4n-28 -2n -6 -15n

-13n-34

-(13n+34)