solve this solution using elimination

-8x+6y=34
-8x-4y=44

The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

To evaluate the limit, we first need to substitute 0 for h in the expression 1 - sin(h). This gives us 1 - sin(0) = 1 - 0 = 1. Next, we need to substitute 0 for x in the expression 1 + cos(2x). This gives us 1 + cos(2(0)) = 1 + cos(0) = 1 + 1 = 2.

So, the given limit becomes: lim (h→0) (3+h) (1 - sin(h)) / (1 + cos(2x)) Substituting the values we found, we get: lim (h→0) (3+h) (1) / (2)

Simplifying further, we get: lim (h→0) (3+h) / 2 Now, we can try to evaluate the limit by substituting h = 0. This gives us: lim (h→0) (3+h) / 2 = 3/2

However, we need to also consider the limit as h approaches 0 from the negative side (-2 in this case). Substituting -2 for h in the expression 1 - sin(h), we get: 1 - sin(-2) = 1 + sin(2) ≈ 1.91

So, the limit from the negative side becomes: lim (h→0-) (3+h) (1 - sin(h)) / (1 + cos(2x)) ≈ -2.87

Since the limit from the negative side is not equal to the limit from the positive side (3/2), the overall limit does not exist.

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Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

If: x = 6

Expression: 8 + x

8 + x

= 8 + 6

= 14

There is only one vowel (A) in the first ticket, and there are no vowels in the second ticket. Therefore, there is only 1 way to choose 2 vowels from the 2 available. So the probability of getting both tickets as vowels is:Probability = 1/30

A box contains six tickets: AABBBE. Two tickets are removed, one after the other. The probability that both tickets are vowels is $\fraction{1}{15}$.In order to find out the probability that both tickets are vowels, it is important to know the total number of possible outcomes as well as the number of favorable outcomes. The formula for probability is:Probability of event

= number of favorable outcomes / total number of possible outcomes.The total number of possible outcomes when two tickets are removed, one after the other from a box containing six tickets can be found using permutations. The first ticket can be removed in 6 ways, and the second ticket can be removed in 5 ways, so the total number of ways to remove two tickets is 6 x 5

= 30. This is the total number of possible outcomes.The number of favorable outcomes is the number of ways to choose 2 vowels from the 2 available, divided by the total number of possible outcomes. There is only one vowel (A) in the first ticket, and there are no vowels in the second ticket. Therefore, there is only 1 way to choose 2 vowels from the 2 available. So the probability of getting both tickets as vowels is:Probability

= 1/30

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The segments AC, BC, and BA forms the Triangle.

Given, AC = 4; BC = 3; BA = 6

The condition if the given segments form a triangle is to use Triangle Inequality Theorem.

Triangle Inequality Theorem states that the sum of the length of two sides of a triangle is always greater than the third side.

Taking AC + BC > BA

4 + 3 > 6

7> 6 which is true.

Now taking BC + BA > AC

3 + 6 > 4

9 > 4, is also true.

Now,  BA + AC > BC

6 + 4 > 3

10 > 3 is true.

Therefore, option A is correct. The segments AC, BC, and BA forms the triangle.

To learn more about, triangle inequality theorem,visit: Option A is correct. The segments AC, BC, and BA forms the Triangle.

Given, AC = 4; BC = 3; BA = 6

The condition if the given segments form a triangle is to use Triangle Inequality Theorem.

Triangle Inequality Theorem states that the sum of the length of two sides of a triangle is always greater than the third side.

Taking AC + BC > BA

4 + 3 > 6

7> 6 which is true.

Now taking BC + BA > AC

3 + 6 > 4

 9 > 4, is also true.

Now,  BA + AC > BC

6 + 4 > 3

10 > 3 is true.

Therefore, option A is correct. The segments AC, BC, and BA forms the triangle.

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The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.

It is used to calculate the power to which a number must be raised to get a particular result.

For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.

It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The standard for deciding whether an observed result is due to chance is called statistical significance.

statistical significance refers to the likelihood that the observed results are not due to chance alone but are instead the result of a real effect or relationship. This is determined through statistical tests, such as the p-value, which calculates the probability of obtaining the observed results if the null hypothesis (i.e. no effect or relationship) were true. If the probability is low enough (typically below 0.05), then the results are considered statistically significant.

statistical significance is the standard used to determine whether an observed result is likely due to chance or a real effect/relationship.

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Answer:

question 1: answer is 4

question 2: answer is 1

Step-by-step explanation:

The postulate that the given diagram with three collinear points and a plane represents is; Three point Postulate

The postulates for Points and Lines are:

The 2 Point Postulate:  This postulate states that through any two points, there exists exactly one line.

The Line-Point Postulate: This postulate states that a line contains at least two points.

The Line Intersection Theorem: This postulate states that If two lines intersect, then it means that they intersect in exactly just one point.

The postulates for points and planes are:

The 3 Point Postulate: This postulate states that through any three non-collinear points, there must exist exactly just one plane.

Plane-Point Postulate: This postulate states that a plane contains at least three non-collinear points.

We are given three points that appear to be non - collinear and they are put in a plane and as such we can see that it follows the 3 point postulate defined above.

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Step-by-step explanation:

A=l×b

y=x(x+6)

y=x^2+6x

when x is 12

y=12^2+6(12)

y=144+72

y=216 ft

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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The original price of the bracelet, before tax $0.68

From the question, we have the following parameters that can be used in our computation:

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

Answer:

She can buy 3 cantaloupsssss pls mark brainlest its right

Step-by-step explanation:

The amount of material needed to make a can that holds three golf balls is approximately 201 cubic centimeters.

To calculate this, we need to find the volume of three golf balls, which is given by the formula V = 4/3 πr³, where r is the radius of the ball. Since the diameter of each ball is 4.3 cm, the radius is half of this, or 2.15 cm.

Thus, the volume of one ball is V = 4/3 π(2.15)³ = 43.77 cubic centimeters. The volume of three balls is then 3V = 131.31 cubic centimeters.

Next, we can find the volume of the can that holds these three balls. The can must have a diameter large enough to accommodate three balls side by side, plus some additional space for the thickness of the can material.

The diameter of three golf balls is 3 x 4.3 cm = 12.9 cm. Adding a couple of extra centimeters for the thickness of the can walls, we can assume a diameter of around 15 cm. The height of the can should be at least as tall as the diameter of a single ball, so we can assume a height of around 4.3 cm.

Using the formula for the volume of a cylinder, V = πr²h, where r is the radius and h is the height, we get V = π(7.5)²(4.3) = 200.97 cubic centimeters. Therefore, the amount of material needed to make the can is approximately 201 cubic centimeters, rounded to the nearest whole number.

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A series is a summation of numbers in an infinite sequence that may either converge or diverge. When the absolute value of a series diverges, it does not indicate that it could be conditionally convergent.

What is a divergent series?

A divergent series is a sequence of partial sums that do not converge to a finite number. A series is divergent if its limit does not exist or if it goes to infinity.

There are two types of series divergences:

Absolute divergence:

A series is said to have absolute convergence when it converges absolutely.

If the sum of the absolute values of its terms is finite, a series is said to be absolutely convergent.

It is denoted by the series ∑ |a_n|.

Conditional divergence:

A series is said to have conditional convergence when it converges conditionally.

When a series converges, but the sum of the absolute values of its terms is infinite, it is called conditionally convergent.

It is denoted by the series ∑ a_n.

The answer to the given question is no;

if the absolute value of a series diverges, it does not indicate that it could be conditionally convergent.

When the absolute value of a series diverges, it indicates that it is non-convergent.

Therefore, it can be concluded that if a series has diverged, it is either absolutely or conditionally divergent.

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Answer:

798 days

Step-by-step explanation:

100-0,25=99,75

99,75/0,125=798

Answer:

\(38 \sqrt{2764} \\ 76 \sqrt{691} \\ \)

Answer:

C) 11.4

Step-by-step explanation:

A 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

To determine the amount of energy stored in the 180 calorie half-pint carton of chocolate milk, we can convert the calories to joules. One calorie is approximately equal to 4.184 joules. Therefore, 180 calories is equal to 180 * 4.184 = 753.72 joules.

Calories are a unit of energy commonly used in nutrition to measure the energy content of food. However, in scientific calculations and physical contexts, the SI unit for energy is the joule. So, by converting the calories to joules, we can express the energy content of the chocolate milk carton in a standard unit. Hence, a 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

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Answer:

P(A n B) = 1/4

Step-by-step explanation:

We know that:

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

Substituting the given values, we get:

3/8 = 1/2 + 3/4 - P(A n B)

Simplifying, we get:

P(A n B) = 1/4

Answer: P ( A n B ) = 7/8

Step-by-step explanation:  P ( A U B ) = P(A) + P(B) - P( A n B )

                                                         3/8   =   1/2  + 3/4 - P( A n B )

                                                         3/8   =   5/4 - P ( A n B )

                                               P ( A n B )  =  5/4 - 3/8

                                               P ( A n B )  =   7/8

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

The woman tells Lela and Devon that she's sorry because she feels bad that her children took the ring.

The woman's apology could stem from a sense of responsibility and guilt for her children's actions. She may feel remorseful because her children took the ring without her knowledge or permission. She could feel a sense of personal accountability for their behavior as their parent, believing that she should have been more vigilant or instilled better values in them.

Additionally, the woman's apology might also be driven by her empathy and understanding of the impact the incident has had on Lela and Devon. She could be aware of the emotional distress caused by the loss of the ring and genuinely regretful that her children were involved in the situation.

By apologizing, the woman may be expressing her regret and remorse for the unfortunate events surrounding the ring. It signifies her recognition of the wrongdoing and a desire to convey empathy and understanding towards Lela and Devon.

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Answer:

Im pretty sure the one with the negative slope, so A.(edited im wrong)

Step-by-step explanation:

Since its descending, its impossible for it to start at zero, making it non proportional

hopefully i helped

Answer:

The answer is the graph will not pass through (0,0)

Step-by-step explanation:

Answer: 7km

Step-by-step explanation:

Hi, to answer this question, first we have to add the kilometers hiked in the first 2 days.

9km+6km= 15km

Since the trip was 36km, we have to subtract 15 to 36:

36-15= 21 km left

Since they hiked an equal number of km the next 3 days, we have to divide the remaining km by 3:

21/3 = 7km

Feel free to ask for more if needed or if you did not understand something.