I need to know what the answer to this is ⭐️

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

3.63 i think

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Answer:

2 units left 1 unit up

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

The value of z* to construct a 99% confidence interval is 2.58.

The value of z* that can be used to construct confidence interval can be calculated or find out in many ways. But, usually and the easiest way is by look the value in T table.

The value of z* is equal to the value of critical value in t table. So, to find it we search the column of 99% confidence level or if use the one tail is equal to 0.005 or if use the two tail is equal to 0.01. Then, we search the row of z, after that we get the value of 2.576.

Attached image for t table.

Thus, the value of z* for 99% confidence interval is 2.58.

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Answer:  99-99=0

Step-by-step explanation:

   432,234   432-234=  

   198,891   891-198 =693

   693,396   693-396 =297

   297,792   792-297= 495

   495,594   594-495=99

   99-99=0

In the equation z = c t + d, where z is measured in meters (m) and t is measured in seconds (s), the dimensions of c are meters/seconds or m / s

Given: The equation z = c t + d, where z is measured in meters and t is measured in seconds. To find the dimensions of c

What are the units and dimensions?

Dimensions can be defined as some physical quantities that exist in some particular domains of existence that can be measured, whereas units are just some arbitrary names that are reserved by particular dimensions which are used to define the quantity that is about the measurement or the dimensions used concerning the particular object or instance of something.

What is the homogeneity of dimensions?

In a given equation consisting of different variables, the dimensions assigned with each term in the equation must be consistent on both the left and right sides.

For example: Let's take the formula of final velocity (v):

v = u + a t, where

v = final velocity and unit is m / s

u = initial velocity and unit is m / s

a = linear acceleration and unit is m / s²

t = time and unit is t

Observe the dimension and units for each term in the equation.

On the left-hand side, we have only one term which is v  (final velocity) and is measured in m / s.

On the right-hand-side, we have 2 terms u (initial velocity) and at (acceleration and time)

u is measured in m / s

a is measured in m / s² and t is measured in s

so, it is measured in m / s² × s is m / s

Therefore both u and at has the dimensions as m / s.

Hence all the terms in LHS and RHS which are v, u, and at are measured in m / s.

This is known as the homogeneity of dimensions for an equation.

Let's solve the given equation:

z = c t + d

where z is measured in meters and t is measured in seconds.

Now z is measured in meters (m), so by the principle of homogeneity of dimensions, c t must also be measured in meters (m).

Now t is measured in seconds (s), so if the dimensions of c are meters/second then the term c t will be measured in meters.

Hence the dimensions of c are meters/second or m / s

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In the equation z = c t + d, where z is measured in meters (m) and t is measured in seconds (s), the dimensions of c are meters / seconds which can also be expressed as m / s.

We are given the equation z = c t + d;

where z is measured in meters and t is measured in seconds. T

We have to find the dimension or units of c.

Dimensions means some physical quantities that exist in some particular domains of existence and can be measured.

If we have a equation, then the dimension that is on the left sides of it should be the same as the one on the right on it.

This is called the homogeneity of dimensions for an equation that is being given.

Now, we have the equation:

z = c t + d

Since,

z is being measured in meters (m), so by using the principle of homogeneity of dimensions, c t must also be measured in meters (m).

Also, t is measured in seconds (s).

So, if the dimensions of c are meters/second then the term c t will be measured in meters.

Therefore, the dimensions of c are meters/second or m / s.

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As a result, shown demonstrates that guessing on a multiple-choice exam is not a viable option.

The probability that a student who has not studied will get all 45 multiple choice questions correct is 1 in 9.223e+18.

Let's explain why this is so.Long answer: 200 wordsIf a student has to guess on a multiple-choice question, there are five possible answers (A, B, C, D, and E). As a result, there is a 1 in 5 chance (or a 20% chance) of guessing the correct answer to any given question.

Assume that the student has to guess on all 45 multiple-choice questions. The probability of getting the first question correct is 1 in 5, and the probability of getting the second question correct is also 1 in 5. The probability of getting the first and second questions correct is the product of their probabilities, or 1/5 x 1/5 = 1/25. Following that, the probability of getting the first three questions right is 1/5 x 1/5 x 1/5 = 1/125.

As a result, the probability of getting all 45 questions correct is 1/5^45 or 1 in 9.223e+18.This indicates that the probability of getting all of the questions right is vanishingly tiny. Even if the student had guessed a million times a second since the beginning of the universe, they would still not have a chance of getting all of the questions right.

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Answer:

2

Step-by-step explanation:

y² = 4²= 16 (in substitution way)

16÷8= 2

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Answer:

2

Step-by-step explanation:

y^2/8

4^2/8

16/8

2

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The newspaper that charges less per line is Greenville Journal and the line of the advertisement must be 5 for the cost to be the same

We have:

Greenville Journal is represented by the equation

y = 2x + 20

For Daily times, the rate is

Rate = y2 - y1/x2 - x1

This gives

Rate = (30 - 27)/(5 - 4)

Evaluate

Rate = 3

For Greenville Journal's equation y = 2x + 20, the rate is

Rate = 2

This is so because the slope is 2

By comparison 2 is less than 3

Hence, the newspaper that charges less per line is Greenville Journal

The equation of Daily times is

y = m(x - x1) + y1

So, we have

y = 3(x - 4) + 27

Evaluate

y = 3x + 15

Substitute y = 3x + 15 in y = 2x + 20

3x + 15 = 2x + 20

Evaluate

x = 5

Hence, the line of the advertisement must be 5 for the cost to be the same

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The pivot and low partition number are given by 79 and 62, respectively, if Partition (numbers, 2, 8) is called and quicksort always selects the midpoint element as the pivot.

Quick Sort is a divide-and-conquer algorithm that works by dividing an array into two sub-arrays, one with elements larger than a pivot element, and another with elements smaller than the pivot element. These two sub-arrays are then sorted recursively. In the numbers array, the low partition is the largest element less than or equal to the pivot element. Here, 62 is the largest element less than 79, therefore the low partition is 62, and the pivot element is 79.

In general, Quick Sort is the most efficient sorting algorithm, with a running time of O (n log n). These two sub-arrays are then sorted recursively. In the numbers array, the low partition is the largest element less than or equal to the pivot element. Here, 62 is the largest element less than 79, therefore the low partition is 62, and the pivot element is 79. It works well with both small and large datasets, making it a popular algorithm in computer science for sorting.

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So, the correct graph should have the scale factor on the x-axis and the area on the y-axis. This is Graph B. The other graphs do not correctly represent the relationship between the scale factor, area, and perimeter.

There are different types of graphs, including directed graphs (also called digraphs), where each edge has a direction, and undirected graphs, where each edge has no direction. Graphs can also be weighted, meaning that each edge has a value associated with it, or unweighted, where all edges have the same value.

Graphs can be represented visually, using diagrams that show the vertices as points and the edges as lines or arrows connecting them. Graphs are used in a variety of applications, including computer algorithms, data analysis, and optimization problems.

by the question.

The area of the original triangle is 6 square inches, and the perimeter is 12 inches. Let the lengths of the sides be a, b, and c. Then, we have:

\(a + b + c = 12\) (perimeter)

\(s = (a + b + c)/2 = 6\) (semi perimeter)

\(A =\sqrt(s(s-a)(s-b)(s-c)) = 6\) (area)

Simplifying the equations, we get:

\(a + b + c = 12\)

\(a + b + c - 2a - 2b - 2c = 0\)

\(-a - b - c = -12\)

\(-a - b - c + 2a + 2b + 2c = 0\)

\(a + b + c = 0\)

Therefore, the centroid of the original triangle is at the origin (0,0).

When the triangle is dilated by a scale factor of k, the new area and perimeter are given by:

\(A' = k^2A = 6k^2\)

\(P' = kP = 12k\)

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The value of the current 'I' for the given relation of current , impedance, and voltage  I = E/ Z is equal to I = ( 4.5 + 5.4i ) / ( 6 + 4i ).

Here R=6, and XL=4

Impedance Z = R+ XL i

⇒ Z = 6 + 4i  __(1)

Where

E = 7(cos 50 degrees +i sin 50 degrees)

Simplify the above expression to get the value of voltage E.

⇒ E = 7 ( 0.6428 + i 0.7660 )

⇒ E = 4.4996 + i( 5.362 )

⇒ E = 4. 5 + 5.4i ____(2)

Now alternating current  ,

I = E / Z

Substitute the value of E and Z from (1) and (2) we get,

⇒ I = ( 4.5 + 5.4i ) / ( 6 + 4i )

Therefore, the value of the current I is equal to ( 4.5 + 5.4i ) / ( 6 + 4i ).

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Answer:40-45 percent

Step-by-step explanation:

explenation

Answer:

couldnt tell you i was always bad at algebra

Step-by-step explanation:

Answer:

The domain is all of the x values. From the graph, all of the x values are greater than or equal to 0 so the answer is x ≥ 0.

Answer:

D. x ≥ 0

Step-by-step explanation:

Answer:

x=115⁰

z=27⁰

Step-by-step explanation:

65+x=180 -> Due to same side interior being equal to 180 degrees

x= 115

x = 3z + 34 -> opposite interior being equal

115 = 3z + 34

81 = 3z

divide by 3 on both sides

z=27

The best way to determine which brands of orange juice people prefer is to conduct an experiment. In this experiment, passerbys in a supermarket are asked to taste different brands of orange juice without knowing which brand they are drinking, and which one they prefer.

After tasting each brand, they would be asked to indicate their preference. This type of experiment is known as a blind taste test. An observational study would not be effective in this situation, as it is unable to tell which brand people prefer.

The experiment and observational study are types of research. Observational research and experimental research are two methods of conducting research.

Observational research requires the researcher to observe participants in their natural setting, and experimental research requires the researcher to control the conditions and manipulate the independent variable. The experiment is a type of research in which the researcher manipulates one variable to determine if there is a causal relationship between the independent variable and the dependent variable.

The people at the supermarket who were asked to taste different brands of orange juice without knowing which brand they were drinking and which one they preferred are an example of an experiment.

This type of study is an example of a taste test experiment, which is a common technique used by food and drink manufacturers to determine which products consumers prefer.

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Answer:  Decreasing, if it "Halves (cuts in half)". If it was increasing, it would probably say double.

Step-by-step explanation:

So, if it was being cut in half every two days, we would only be counting days 2, 4, and 6.

So days 2, it would be cut in half, and go from 500 to 250. Day 4, it would go from 250 to 125. The day 6, it would go from 125 to 62.5.

In 6 days, the investment will be worth $62.50

Answer:

y = 66

Step-by-step explanation:

"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11

To solve, multiply both sides by 6.

y = 66.

Answer:

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Step-by-step explanation:

State the null hypothesis

H0: u = 60against the claim

Ha u≠   60   (this is a two tailed test)

Sample size n= 36

Sample mean=X`= 55

Population mean = u= 60

The significance level α = 0.05

Standard deviation= Sd = 22 seconds

Z= X`- u / Sd /√n

Z= 55- 60 / 22/√6

z= - 5/22/6

Z= -1.3635

The value of z from the table is Z∝/2= ±1.96

The critical region is less than - 1.96 and greater than 1.96.

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

C) 6

Step-by-step explanation:

3 garden rows = 3*5 = 15 feet

we know we need 2 packages per each 15 feet

45/15=3 so 3 15 in 45, we just multiply 3 and 2 to get 6 packages

The Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

Exponential smoothing is a forecasting technique that takes into account both the historical demand and the trend of the data. It is calculated using the formula:

Forecast = α * (Demand / Seasonal Index) + (1 - α) * Previous Forecast

Initial forecast (Previous Forecast) = 417

α (Smoothing parameter) = 0.35

Demand for Year 4, Q1 = 307

Seasonal Index for Q1 = 0.762

Using the formula, we can calculate the Year 4, Q1 forecast:

Forecast = 0.35 * (307 / 0.762) + (1 - 0.35) * 417

        = 335.88

Therefore, the Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

The forecasted demand for Year 4, Q1 using exponential smoothing is 335.88.

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Answer: 9.52

Step-by-step explanation: I looked it up but you would do 17 divided by 56 and get a decimal and then move the decimal point over 2 spaces to the right and then you have your answer.

Hope it helped

Answer:

Therefore, the top of the tree will strike the ground about 17.75 meters away from the foot of the tree.

Step-by-step explanation:

We can solve this problem using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the tree trunk and the ground form one leg of the triangle, and the broken off portion of the tree forms the other leg, while the distance the top of the tree falls is the hypotenuse.

Let's call the distance we want to find "x". Then, we can set up the following equation:

x^2 = 18^2 - 3^2

where 18 is the height of the tree, and 3 is the distance from the ground where the tree is broken.

Simplifying the right-hand side of the equation, we get:

x^2 = 315

Taking the square root of both sides, we get:

x = sqrt(315) ≈ 17.75

For the first question: The obtained Chi-square value of 23.45 is greater than the critical Chi-square value of 9.488. In a Chi-square test, when the obtained Chi-square value exceeds the critical Chi-square value, we reject the null hypothesis. Therefore, the correct conclusion is:

a. Reject the null hypothesis, church attendance and marital status are dependent.

This means that there is a statistically significant relationship between marital status and church attendance based on the data analyzed.

For the second question:

The obtained Chi-square value of 12.2 is greater than the critical Chi-square value of 9.488. Following the same reasoning as above, we reject the null hypothesis. Therefore, the correct conclusion is:

c. The variables are dependent.

This indicates that there is a statistically significant relationship between arrests and the socioeconomic class of the offender based on the data analyzed.

Option d. "the probability of getting these results by random chance alone is 0.5" is not a valid conclusion to draw from the Chi-square test. The Chi-square test does not provide information about the probability of obtaining the results by random chance alone.

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Answer:

8-n x 5

Step-by-step explanation:

Probability that from 3 to 6 have blowouts is 0.4477 Probability that fewer than 4 have blowouts is 0.3615Probability that more than 5 have blowouts is 0.3973.

Given: It is found that 25% of the trucks fail to complete the test run without a blowout.Probability is the ratio of the number of favorable outcomes to the total number of possible outcomes.In order to find the probability of the given events, we will use Binomial Distribution.

Let’s find the probability of given events one by one:a) From 3 to 6 trucks have blowouts Number of trials = 15 (n)Number of success = trucks with blowouts (x)Number of failures = trucks without blowouts = 15 - xProbability of a truck with blowout = p = 0.25Probability of a truck without blowout = q = 1 - 0.25 = 0.75We need to find

P(3 ≤ x ≤ 6) = P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)P(x = r) = nCr * pr * q(n-r)

where nCr = n! / r!(n-r)!P(x = 3)

= 15C3 * (0.25)3 * (0.75)12

= 0.1859P(x = 4) = 15C4 * (0.25)4 * (0.75)11

= 0.1670P(x = 5)

= 15C5 * (0.25)5 * (0.75)10 = 0.0742P(x = 6)

= 15C6 * (0.25)6 * (0.75)9 = 0.0206P(3 ≤ x ≤ 6)

= 0.1859 + 0.1670 + 0.0742 + 0.0206

= 0.4477

Therefore, the probability that from 3 to 6 trucks have blowouts is 0.4477.b) Fewer than 4 trucks have blowoutsNumber of trials = 15 (n)Number of success = trucks with blowouts (x)Number of failures = trucks without blowouts = 15 - xProbability of a truck with blowout = p = 0.25Probability of a truck without blowout = q = 1 - 0.25 = 0.75We need to find P(x < 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)P(x = r) = nCr * pr * q(n-r)where nCr = n! / r!(n-r)!P(x = 0) = 15C0 * (0.25)0 * (0.75)15 = 0.0059P(x = 1) = 15C1 * (0.25)1 * (0.75)14 = 0.0407P(x = 2) = 15C2 * (0.25)2 * (0.75)13 = 0.1290P(x = 3) = 15C3 * (0.25)3 * (0.75)12 = 0.1859P(x < 4) = 0.0059 + 0.0407 + 0.1290 + 0.1859= 0.3615Therefore, the probability that fewer than 4 trucks have blowouts is 0.3615.c) More than 5 trucks have blowoutsNumber of trials = 15 (n)Number of success = trucks with blowouts (x)Number of failures = trucks without blowouts = 15 - xProbability of a truck with blowout = p = 0.25Probability of a truck without blowout = q = 1 - 0.25 = 0.75

We need to find P(x > 5)P(x > 5) = P(x = 6) + P(x = 7) + ... + P(x = 15)P(x = r) = nCr * pr * q(n-r)

where nCr = n! / r!(n-r)!

P(x > 5) = 1 - [P(x ≤ 5)]P(x ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)P(x = 0) = 15C0 * (0.25)0 * (0.75)15

= 0.0059P(x = 1) = 15C1 * (0.25)1 * (0.75)14 = 0.0407P(x = 2)

= 15C2 * (0.25)2 * (0.75)13 = 0.1290P(x = 3)

= 15C3 * (0.25)3 * (0.75)12 = 0.1859P(x = 4)

= 15C4 * (0.25)4 * (0.75)11 = 0.1670P(x = 5)

= 15C5 * (0.25)5 * (0.75)10

= 0.0742P(x ≤ 5)

= 0.0059 + 0.0407 + 0.1290 + 0.1859 + 0.1670 + 0.0742

= 0.6027P(x > 5) = 1 - 0.6027= 0.3973

Therefore, the probability that more than 5 trucks have blowouts is 0.3973.Answer:Probability that from 3 to 6 have blowouts is 0.4477Probability that fewer than 4 have blowouts is 0.3615Probability that more than 5 have blowouts is 0.3973.

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Step-by-step explanation:

Let kyra age be x and caleb age be y

x + y = 37........ 1

Caleb age y = 2x - 4

Putting value of y in eq 1

The age of Kyra is 14

The age of Caleb is 24.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sum of Kyra's and Caleb's ages is 37.

And, Caleb's age is equal to twice the quantity of Kyra's age decreased by 4.

Now,

Let the age of Kyra = x

And, The age of Caleb = y

Since, The sum of Kyra's and Caleb's ages is 37.

So, We can formulate;

x + y = 37   ... (i)

And,  Caleb's age is equal to twice the quantity of Kyra's age decreased by 4.

So, We can formulate;

y = 2x - 4  

Substitute above value in equation (i) as;

x + y = 37

x + 2x - 4 = 37

3x = 37 + 4

3x = 41

x = 14

Thus, The age of Kyra = 14

And, The age of Caleb = 2x - 4

                                  = 24 years.

Therefore, The age of Kyra is 14

The age of Caleb is 24.

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