Aiden has a smartphone data plan that costs $25 per month that includes 2 GB of data but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?

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The element that orients readers by previewing the structure of the report is "Organization."

Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.

The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.

In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.

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Answer: \(MP=10, PN=6\)

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

\(\\\\frac{MP}{5}=\frac{8}{4}\\\\MP=10\\\\\frac{PN}{3}=\frac{8}{4}\\\\PN=6\)

(a) The probability that a starter motor fails within 4 years is approximately 0.6321.

(b) The probability that a motor fails in less than 4 years given that it has lasted more than two years is approximately 0.4866.

(c) The probability that a motor fails in less than two years is

approximately 0.1813.

(d) The motor with δ = 4000 and β = 3.4 has a longer lifetime based on the time exceeded by 99% of the motors.

(a) To find the probability that a starter motor fails within 4 years, we can use the cumulative distribution function (CDF) of the Weibull distribution. Given δ = 3000 and β = 2.0, we can substitute these values into the formula:

P(T ≤ 4 years) = 1 - e^(-((4/3000)^2.0))

This calculates the probability that the time to failure, denoted as T, is less than or equal to 4 years.

(b) To find the probability that a motor fails in less than 4 years given that it has lasted more than two years, we need to calculate the conditional probability P(B|A), where A is the event that the motor lasts more than two years, and B is the event that the motor fails in less than four years. We can use the formula:

P(B|A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) represents the probability that both events A and B occur, and P(A) represents the probability of event A occurring.

(c) To compare the probability from part (b) to the probability that a motor fails in less than two years, we can calculate P(T ≤ 2 years) using the CDF of the Weibull distribution:

P(T ≤ 2 years) = 1 - e^(-((2/3000)^2.0))

By comparing the calculated probability from part (b) to P(T ≤ 2 years), we can analyze whether the lack of memory property applies to this distribution. The lack of memory property implies that the probability of failure within a specific time period does not depend on how long the motor has already been in operation.

(d) To determine which motor has a longer lifetime, we can find the times exceeded by 99% of the motors for each distribution. This can be done by using the inverse CDF at a probability level of 0.01 for each distribution.

For the first motor, with δ = 3000 and β = 2.0, we find the time exceeded by 99% of the motors using the inverse CDF.

For the second motor, with δ = 4000 and β = 3.4, we find the time exceeded by 99% of the motors using the inverse CDF.

By comparing the two times, we can determine which motor has a longer lifetime based on the time exceeded by 99% of the motors.

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Answer:

d

Step-by-step explanation:

Answer:

c) 0.04 is the answer

I would be happy if you give brainliest

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.

The area of the base times the height of the rectangular prism equals the volume of the object.

The volume of a rectangular prism = Length × Width ×Height cubic units.

In the given question:

Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.

Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

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the slope of the given point is m=9

Answer:

81 numbers

Step-by-step explanation:

The company makes a profit when x is less than 3 thousand units or greater than 14 thousand units (Option C).

To find the values of x for which the company makes a profit, we need to determine when the profit function P(x) is greater than zero, as indicated by the condition P(x) > 0.

The given profit function is P(x) = -2x^2 + 34x - 84.

To find the values of x for which P(x) > 0, we can solve the inequality -2x^2 + 34x - 84 > 0.

First, let's factor the quadratic equation: -2x^2 + 34x - 84 = 0.

Dividing the equation by -2, we have x^2 - 17x + 42 = 0.

Factoring, we get (x - 14)(x - 3) = 0.

The critical points are x = 14 and x = 3.

To determine the intervals where P(x) is greater than zero, we can use test points within each interval:

For x < 3, let's use x = 0 as a test point.

P(0) = -2(0)^2 + 34(0) - 84 = -84 < 0.

For x between 3 and 14, let's use x = 5 as a test point.

P(5) = -2(5)^2 + 34(5) - 84 = 16 > 0.

For x > 14, let's use x = 15 as a test point.

P(15) = -2(15)^2 + 34(15) - 84 = 36 > 0.

Therefore, the company makes a profit when x is less than 3 thousand units or greater than 14 thousand units (Option C).

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Answer:

Tommy spent $17

Step-by-step explanation:

Mary spent half of what tommy spent. 8.50 x 2= 17

therefore tommy spent $17

Answer:

tommy spent $17

Step-by-step explanation:

8.50 X 2 is 17 and if Rachel spent $12 less than tommy did Rachel spent $5.

In total they spent $30.50

Answer:

2m +n​

Step-by-step explanation:

3m + 2n - (m + n)​

Distribute the minus sign

3m + 2n - m - n

Combine like terms

3m -m   +2n -n

2m +n​

Note that the percentage of the students who plant ot use earthen ware clay and also play to use acrylic paint are 38.4%

Out of 73 students,
28 plan to use acrylic paint

Percentage who plan tot use both earthen ware clay and acrylic is

(28/73  ) x 100 = 34.8%

Thus the percentage of students that meet teh above description is 38.4%

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Full Question:

The freshman classes at mountain view high school are starting a pottery project next month. The art teacher needs to preorder supplies, so she asked each student to choose one type of clay and one type of paint to use for the project . This table summarizes their choices.

What percentage of students who plan to use earthenware clay also plan to use acrylic paint?

The table is :

                                                 Oxide Stain     Glaze   Acrylic Paint     Total

Earthenware clay                  14                        31              28                   73

Stoneware clay                      9                           26                17                  52

Total                                            23                         57                 45               125

The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction

5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East

When we add these distances together, we get:

5 + 6 + 6 + 7 + 4 = 28

Therefore, the person has walked a total of 28 miles.

In more detail, let's break down the distances walked in each direction:

- 5 miles East: This means the person walked 5 miles in the East direction.

- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.

- 6 miles South: This means the person walked 6 miles in the South direction.

- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.

- 4 miles East: This means the person walked 4 miles in the East direction.

By adding up these distances, we find that the person has walked a total of 28 miles.

#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles

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Answer:

0.3904

Step-by-step explanation:

0.8^-3 = 0.8^1 - 0.8^4 = 0.8 - 0.4096 = 0.3904

Answer:

29.5735296 cc = 1 oz

Answer:

24.5

Step-by-step explanation:

38.5 / .5π =

Answer: 3

Step-by-step explanation: I just know

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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In order to factor our polynomial must be written in a way that we will factor out the greatest common factor

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.

To be a polynomial term, an expression must contain no square roots of variables, no fractional or negative powers on variables, and no variables in the denominators of any fractions.

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Answer:

Vertical angles are angles that are opposite each other when two lines intersect each other. And they are always equal.

==> 2y +5 = 4y

==> 4y - 2y = 5

==> 2y = 5

==> \(y = \frac{5}{2}\)

Option D

Answer:

Excact Form

Decimal Form

Mixed Number

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

The minimum number of degrees a regular pentagon must be rotated until it coincides with its original position is 72°.

If a figure can be discernible from its altered image, it exhibits symmetry. If there is a rotation less than 360° that brings the figure onto itself, the shape possesses rotation symmetry. In other words, rotation symmetry exists if you can rotate a figure less than 360° about some point and it appears to have never moved.

The pentagon has rotation symmetry with angle:

360°/5 = 72°

Hence, if we rotate a regular pentagon  72°, 144°, or other multiple of 72°, the pentagon will overlap into itself.

Suppose we have a regular pentagon ABCDE, if we rotate  72° clockwise, letter A will move to B, B to C, and so on.

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Answer:156 Yd ∧3

Step-by-step explanation:

lengthl = 8 ydwidthw = 6.5 ydheighth = 3 yddiagonald = 10.7354553 ydtotal surface areaStot = 191 yd2lateral surface areaSlat = 87 yd2top surface areaStop = 52 yd2bottom surface areaSbot = 52 yd2volumeV = 156 yd3

Answer:

the answer is C ik its right because i did this two days ago so im sure its C

Step-by-step explanation:

The given survey is biased.

When selecting the 20 customers at the computer shop, you only surveyed customers who were in that specific store at the moment. This method of selecting customers only gives information about the shopping habits of customers at the computer shop and does not provide a representative sample of the mall as a whole.

This biases the results towards showing that the computer shop is one of the most frequently shopped stores in the mall. To ensure that the survey is random, you should use a random sampling method, such as selecting customers from a list of mall shoppers or using a random number generator to select customers from different stores in the mall.

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Answer:

152 sq. ft

Step-by-step explanation:

Area of rectangle:

Area of triangle:

Combine the areas:

I hope this helps!