Mrs Gibson is sending a package to her son through the mail the package is a rectangular prism is 12 inches long,12 inches wide and 48 inches high what is the volume in cubic feet

The disadvantage of buying "used-car" from "private-seller" is : (a) It can be expensive than dealership can offer, (b) It may have problems seller did not disclose, (c) It does not come with warranty, the correct option is (d) All the above.

Option (a) : It may be more expensive than a dealership can offer: Private sellers may price their used-cars higher than what a dealership can offer. Dealerships often have the advantage of bulk purchasing, negotiation power, and the ability to offer financing options that can make their prices more competitive.

Option (b) : It may have problems the seller did not disclose: When buying from a private seller, there is a risk that the seller may not disclose all the problems or issues with the vehicle.

Option (c) : It does not come with a warranty: Unlike buying from a dealership, where used cars often come with warranties or extended warranty options, purchasing from a private seller does not include any warranty coverage. This means that if any mechanical problems arise after purchase, the buyer will be responsible for repair costs.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

One potential disadvantage to buying a used car from a private seller is:

(a) It may be more expensive than a dealership can offer

(b) It may have problems the seller did not disclose

(c) It does not come with a warranty

(d) All the above

According to the combination method, the number of elements in the sample space for this experiment is 3060

Combination method:

Basically, the mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter

Given,

A person eating at a cafeteria must choose 4 of the 18 vegetables on offer.

Here we have to calculate the number of elements in the sample space for this experiment.

While we looking into the given question, we have identified the following things,

They are

Total number of available vegetables = 18

Number of choices we have made = 4

Therefore, here the value of n = 18 and the value of x = 4,

Therefore, according to the ncx formula, it can be written as,

=> ¹⁸n₄ = 18! / 4! (18 - 4)!

=> ¹⁸n₄ = 18! / 4! (14)!

=> ¹⁸n₄ = 3060.

Therefore, there are 3060 number of elements in the sample space for this experiment.

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Answer: Simplified it would be 103,743

Hope this helps! :)

Answer:

The height of the water increases 2.5 inches per second.

(Hope this helps! Btw, I answered first. Brainliest please!)

An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;

"Base raised to the power of exponent."

An example is given below;

In this example, 10 is the base and 3 is the EXPONENT.

The expression is now read out as,

"10 raised to the power of 3"

Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;

So basically, an exponent indicates the number of times a number is used to multiply itself.

To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

Answer:

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

Slant height of cone

Surface Area of Conical Portion

Total Surface Area :

Volume

Hope it helps.

If you have any query, feel free to ask.

Where the above situation   is given,

1) The original   loan amount was $219,990, and the remaining loan balance is $96,584. Therefore, youhave paid off $219,990 - $96,584 = $123,416 of the original loan.

2) The remaining loan   balance is $96,584, and you have paid off $123,416. Therefore,you have paid $96,584 + $123,416 = $219,990 to the loan company so far.

3) The amount of the original loan that you have paid off is $123,416, andthe total amount of money that you have paid to the loan company so far is $ 219,990. Therefore, you have paid $219,990 -   $123,416 = $93,406 in interest so far.

4)  The value ofyour home is $180,000, and the remaining loan balance is $96,584. Therefore, you have   $180,000 - $96,584 = $83,414 in equityin your home.

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Answer:

B.)

Step-by-step explanation:

Took test

Each team member should run 9073.6 miles in the race on Course B.

Let's break down the problem step by step:

1. First, we need to find the length of Course B. We know that Course B is 212 times as long as Course A, and Course A is 214 miles. So, to find the length of Course B, we multiply:
  Course B length = 212 × 214 miles

2. Calculate the length of Course B:
  Course B length = 45368 miles

3. Now, we need to determine the distance each team member should run. There are 5 members on the team, and they need to run an equal distance on Course B. To find the distance for each member, we divide the total length of Course B by the number of team members:
  Distance per member = Course B length / number of members

4. Calculate the distance per team member:
  Distance per member = 45368 miles / 5

5. Finally, we find the distance each team member should run:
  Distance per member = 9073.6 miles

So, each team member should run 9073.6 miles in the race on Course B.

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Answer:

The answer is 34.2L

Step-by-step explanation:

5buc x 1.8gal = 9gal

9gal x 3.8L = 34.2L

The length of another diagonal length is 39 inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In Kite, the pair of adjacent sides are equal. And its diagonals intersect at a right angle.

Given

A kite with diagonals is shown. It has side lengths of 41, 41, 50, and 50.

One diagonal length is 80 inches.

The length of another diagonal length.

We know that its diagonals intersect at a right angle.

Then according to Pythagoras theorem

For ΔAED

H² = P² + B²

41² = P² + 40²

P = 9

Similarly,

For ΔCED

H² = P² + B²

50² = P² + 40²

P = 30

The length of another diagonal length will be

30 + 9 = 39

Thus, the length of another diagonal length is 39 inches.

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Answer:

39 units

Step-by-step explanation:

edge2022

Answer:

the answer is a because all the other ones are multiplying a different number

Answer:

the answer is a because you have to put the x after the five.

Step-by-step explanation:

I did this last year in my math class

Answer:

Monday class is 1 3 hours and the Friday class is 1 1 hours. 4 2Patrick attended both exe

Step-by-step explanation:

Answer:

You add all these numbers then, divide the answer with 2.

Step-by-step explanation:

Trust

To determine which functions are solutions of the given differential equation y'' + y = 3 sin(x), we need to check if plugging each function into the differential equation satisfies the equation. We will examine each option and identify the functions that satisfy the equation.

The differential equation y'' + y = 3 sin(x) represents a second-order linear homogeneous differential equation with a particular non-homogeneous term.
(a) Plugging y = 3 sin(x) into the differential equation gives 0 + 3 sin(x) ≠ 3 sin(x). Therefore, y = 3 sin(x) is not a solution.
(b) Plugging y = (3/2)x sin(x) into the differential equation gives (3/2) sin(x) + (3/2)x sin(x) = (3/2)(1 + x) sin(x), which is not equal to 3 sin(x). Therefore, y = (3/2)x sin(x) is not a solution.
c) Plugging y = 3x sin(x) - 4x cos(x) into the differential equation gives 6 cos(x) - 4 sin(x) + 3x sin(x) - 3x cos(x) = 3 sin(x), which satisfies the equation. Therefore, y = 3x sin(x) - 4x cos(x) is a solution.
(d) Plugging y = 3 cos(x) into  the differential equation gives -3 sin(x) + 3 cos(x) = 3 sin(x), which is not equal to 3 sin(x). Therefore, y = 3 cos(x) is not a solution.
(e) Plugging y = (-3/2)x cos(x) into the differential equation gives (3/2) sin(x) - (3/2)x cos(x) = (-3/2)(x cos(x) - sin(x)), which is not equal to 3 sin(x). Therefore, y = (-3/2)x cos(x) is not a solution.
Based on the analysis, the only function that is a solution to the given differential equation is y = 3x sin(x) - 4x cos(x) (option c).

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Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Without knowing the actual scores of Jazz from the new game, it is impossible to determine the outlier of the set or if the mean would increase or decrease by removing it.

In general, an outlier is defined as a data point that is significantly different from other data points in the same set. The determination of an outlier depends on the specific context and the method used for detecting it. Common methods include using the interquartile range, z-score, or visual inspection of a boxplot.

Regarding the effect of an outlier on the mean, it depends on the magnitude and direction of the deviation of the outlier from the rest of the data. If the outlier has a large deviation from the rest of the data, it can significantly affect the mean and cause it to increase or decrease, depending on the direction of the deviation. On the other hand, if the outlier has a small deviation from the rest of the data, it may not have a significant effect on the mean.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

These points are not the vertices of the initial square.

I hope it helps.

According to the hypothesis test we find out that the t-statistic is 0.634 and thus, conclude that the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

It is given to us that -

Company manufactures small automobiles that have averaged 45 miles per gallon of gasoline in highway driving

Company now advertises that its new small cars average more than 45 miles per gallon in highway driving

52 automobiles were tested

Sample average is 46.1 miles per gallon

Sample standard deviation is 5.3 miles per gallon

Significance level is 0.01

We have to conduct an appropriate hypothesis test and find the t-statistic and determine the correct conclusion.

Let us assume that -

p = population of average gasoline of new small cars in highway driving

According to the given information,

Null hypothesis represents that the advertising campaign of the manufacturer is incorrect. This implies that -

\(H_{0}\) : \(p\leq 45\) miles per gallon

Alternative hypothesis represents that the advertising campaign of the manufacturer is correct. This implies that -

\(H_{A}\) : \(p > 45\) miles per gallon

For carrying out the hypothesis test for the given situation we have to apply one sample z test statistic since the sample standard deviation information is available to us.

According to one sample z test, the value of test statistic is given as -

\(T = \frac{(X_{avg} -p)}{\frac{S}{\sqrt{n} } }\) ------ (1)

where,

\(X_{avg}\) = Sample mean

p = hypothesized population mean

S = Sample standard deviation

n = Sample size

According to the given information, we have

\(X_{avg}\) = 46.1 miles per gallon

p = 45 miles per gallon

S = 5.3 miles per gallon

n = 52

Substituting the above values in equation (1), we have

\(T = \frac{(X_{avg} -p)}{\frac{S}{\sqrt{n} } }\\= > T = \frac{(46.1 -45)}{\frac{5.3}{\sqrt{52} } }\\= > T = \frac{1.1}{0.735}\\ = > T = 0.634\)

It is given to us that the significance level is 0.01. According to the z-table, the critical value of the test statistic at 0.01 significance level is 2.58.

But, we see that the test statistic that we obtained above is less than the critical value at significance level of 0.01. i.e.,

0.634 < 2.58

This implies that there is not sufficient evidence for us to reject the null hypothesis for this particular situation.

Therefore, we can conclude from the hypothesis test that the t-statistic is 0.634 and thus, the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

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According to the hypothesis test we find out that the t-statistic is 0.634 and thus, conclude that the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

It is given to us that -

Company manufactures small automobiles that have averaged 45 miles per gallon of gasoline in highway driving

Company now advertises that its new small cars average more than 45 miles per gallon in highway driving

52 automobiles were tested

Sample average is 46.1 miles per gallon

Sample standard deviation is 5.3 miles per gallon

Significance level is 0.01

We have to conduct an appropriate hypothesis test and find the t-statistic and determine the correct conclusion.

Let us assume that -

p = population of average gasoline of new small cars in highway driving

According to the given information,

Null hypothesis represents that the advertising campaign of the manufacturer is incorrect. This implies that -

H0 = p<= 45 :  miles per gallon

Alternative hypothesis represents that the advertising campaign of the manufacturer is correct. This implies that -

HA : p > 45 :  miles per gallon

For carrying out the hypothesis test for the given situation we have to apply one sample z test statistic since the sample standard deviation information is available to us.

According to one sample z test, the value of test statistic is given as -

T = (X - p)/(SD/√n)

where,

X = Sample mean

p = hypothesized population mean

S = Sample standard deviation

n = Sample size

According to the given information, we have

X = 46.1 miles per gallon

p = 45 miles per gallon

S = 5.3 miles per gallon

n = 52

Substituting the above values in equation (1), we have

T = 46.1-45/(5.2/√52)

T = 1.1/0.735

T = 0.634

It is given to us that the significance level is 0.01. According to the z-table, the critical value of the test statistic at 0.01 significance level is 2.58.

But, we see that the test statistic that we obtained above is less than the critical value at significance level of 0.01. i.e.,

0.634 < 2.58

This implies that there is not sufficient evidence for us to reject the null hypothesis for this particular situation.

Therefore, we can conclude from the hypothesis test that the t-statistic is 0.634 and thus, the manufacturer's advertising campaign is incorrect as its new small cars have an average of less than or equal to 45 miles per gallon in highway driving.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

The height of the statue rounded off to the nearest foot is equal to 30 feet.

What is meant by angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

It is given that Kelly stands 15 feet from the statue.

The angle of elevation is 60.

Let x be the height of the statue from eye Kellys eye level.

So,

\(tan60=\frac{x}{15} \\\sqrt{3}= \frac{x}{15}\\x=15\sqrt{3}\\ x=25.98\)

The height of the statue is equal to 25.98+4(Height of Kelly)

Height of statue =29.98

The height of the statue rounded off to the nearest foot is equal to 30 feet.

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The dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 34.34 ft.

To find the dimensions of the tank with minimum weight, we need to consider the relationship between the volume of the tank and the weight of the sheet steel.

Let's assume the side length of the square base of the tank is x, and the height of the tank is h.

The volume of the tank is given as 8788 ft³, so we have the equation x²h = 8788.

To determine the weight, we need to consider the surface area of the tank. Since the tank has an open top and a square base, the surface area consists of the base and four sides.

The base area is x², and the area of each side is xh. Therefore, the total surface area is 5x² + 4xh.

The weight of the sheet steel is directly proportional to the surface area. Thus, to minimize the weight, we need to minimize the surface area.

Using the equation for volume, we can express h in terms of x: h = 8788/x².

Substituting this expression for h into the surface area equation, we have A(x) = 5x² + 4x(8788/x²).

Simplifying the equation, we get A(x) = 5x² + 35152/x.

To find the dimensions of the tank with minimum weight, we need to minimize the surface area. This can be achieved by finding the value of x that minimizes the function A(x).

We can differentiate A(x) with respect to x and set it equal to zero to find the critical points:

A'(x) = 10x - 35152/x² = 0.

Solving this equation, we get x³ = 3515.2, which yields x ≈ 14.55.

Since the dimensions of the tank need to be positive, we discard the negative solution.

Therefore, the dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 8788/(14.55)² ≈ 34.34 ft.

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In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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Answer:

The equivalent expression is;

Explanation:

We want to simplify the expression;

we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.

Therefore, the equivalent expression is;

The given statistical study - "For a sample of college students using the ATM in the campus center, data are collected on the dollar amount withdrawn" is a correlational study.

What is a correlational study?                                                                                                                                                                         Correlational study is a research design that helps to measure and describe the relationship between variables without the researcher influencing or manipulating any variables. Correlation allows researchers to test how variables are related to one another, providing a way to find new relationships, understand phenomena, and make predictions.

Classify each statistical study as experimental or correlational. According to the given problem, data are collected on the dollar amount withdrawn for a sample of college students using the ATM in the campus center. As there is no manipulation of variables involved and no control group is assigned, this is a correlational study.

Therefore, the given statistical study - "For a sample of college students using the ATM in the campus center, data are collected on the dollar amount withdrawn" is a correlational study.

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The median of 3 algorithm does not work in linear time when computing the median of 5. It requires additional comparisons and rearrangements, resulting in a higher time complexity than linear.  The median of 7 algorithm works in linear time when computing the median of 5. It allows for efficient selection of the median by utilizing a larger set of elements, ensuring linear time complexity.

To illustrate this, let's consider the scenario of finding the median of 5 using the median of 3 approach. We start by selecting three elements and finding their median, let's say it's element A. Then we compare element A with the remaining two elements. If A is greater than both of them, it becomes the median. Otherwise, we need to consider another pair of elements and repeat the process. This additional step introduces more comparisons and operations, making the algorithm more complex than a linear time algorithm. When using the median of 7 to compute the median of 5, it works in linear time. The median of 7 algorithm selects the median element from a set of seven elements, which can be done in linear time. By applying this algorithm to find the median of 5, we select a subset of five elements and determine their median using the median of 7 algorithm. This approach ensures that we find the median of 5 in a linear time complexity.

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Answer:

-4/15

Step-by-step explanation: