when the probe reaches the ocean for approximately how far would the pro be from the team ships on the surface when measured horizontally round the nearest meter

Given figure shows different angles named from 1 to 8.

Linear pair of angles:

The two adjacent angles that add upto 180 degrees or which when combined together form a straight line.

Hence, the linear pai of angles are:

Supplementary angles:

The angles that add upto 180 degrees.

Hence, all the above linear pair of angles are supplementary also.

Vertical angles:

Vertical angles are the angles that are opposite to each other when two lines meet each other at a point.

Answer: A 7.10

Step-by-step explanation: 7.08 rounded up is 7.10.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

\(x \approx 2.278863\)

Step-by-step explanation:

Required

The positive root of \(3\sin(x) = x\)

Equate to 0

\(0 = x -3\sin(x)\)

So, we have our function to be:

\(h(x) = x -3\sin(x)\)

Differentiate the above function:

\(h'(x) = 1 -3\cos(x)\)

Using Newton's method of approximation, we have:

\(x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}\)

Plot the graph of \(h(x) = x -3\sin(x)\) to get \(x_1\) --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

\(x_1 = 2.2\)

So, we have:

\(x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}\)

\(x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}\)

\(x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641\)

The process will be repeated until the digit in the 6th decimal place remains unchanged

\(x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654\)

\(x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627\)

\(x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627\)

Hence:

\(x \approx 2.278863\)

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

\(\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}\)

Start by adding 1/4 to both sides.

\(\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}\)

\(\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}\)

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

\(\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )\)

Multiple to get the common denomiators

\(\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )\)

Now we can add the fractions.

\(\frac{2}{3}x = \frac{5}{12}\)

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

\((\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})\)

The left side will become x as 3/2 and 2/3 cancel each other out

\(x = (\frac{5}{12}) (\frac{3}{2})\)

Multiple the right side to get a value for x

\(x = \frac{15}{24}\) or \(x = \frac{5}{8}\)

If you notice we can simplfy the fraction to 5/8

Answer:

hi there I am just emailing to confirm

Step-by-step explanation:

and then he said the same

and then he said

and then he said the same

Answer: the answer n^2+3

Step-by-step explanation:

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

g(-2)= -6, g(0)=0, g(5)=15

Step-by-step explanation:

Plug in each value of x into the function g(x) aka 3(x).

Multiply by three.

The value of g(-2), g(0) and g(5) are -6, 0 and 15 respectivey

Given the expression g(x) = 3x

In order to get the given functions, we will substitute the given variable into the function as shown;

a) For the value g(-2)

Substitute x = -2 into the function

g(-2) = 3(-2)

g()-2 = -6

b) For the value g(0)

Substitute x = 0 into the function

g(0) = 3(0)

g(0) = 0

c) For the value g(5)

Substitute x = 5 into the function

g(5) = 3(5)

g(5) = 15

Hence the value of g(-2), g(0) and g(5) are -6, 0 and 15 respectively

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Answer:

option c is correct

12³√3 is correct option

Answer:

For parallel:

gradient is 1/5

\(y = mx + c\)

consider (5, -2):

\( - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3\)

\({ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}\)

For perpendicular:

gradient, m1:

\(m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5\)

gradient = -5

\(y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23\)

\({ \boxed{ \bf{equation :y = - 5x + 23 }}}\)

Answer:

Parallel: \(y=\displaystyle \frac{1}{5}x-3\)

Perpendicular: \(y=-5x+23\)

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

\(y=\displaystyle \frac{1}{5} x-3\)

Given this equation, we can identify that its slope (m) is \(\displaystyle \frac{1}{5}\). Because parallel lines always have the same slope, the slope of the line we're currently solving for would be \(\displaystyle \frac{1}{5}\) as well. Plug this into \(y=mx+b\):

\(y=\displaystyle \frac{1}{5}x+b\)

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

\(-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b\)

Therefore, the y-intercept is -3. Plug this back into \(y=\displaystyle \frac{1}{5}x+b\):

\(y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3\)

Our final equation is \(y=\displaystyle \frac{1}{5}x-3\).

Finding the Perpendicular Line

\(y=\displaystyle \frac{1}{5} x-3\)

Again, the slope of this line is \(\displaystyle \frac{1}{5}\). The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

To find the y-intercept, plug in the point (5,-2) and solve for b:

\(-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b\)

Therefore, the y-intercept is 23. Plug this back into \(y=-5x+b\):

\(y=-5x+23\)

Our final equation is \(y=-5x+23\).

I hope this helps!

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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In order to achieve a profit of $123,525, the Vilas County News would require a subscriber base of 6,355,500 individuals.

Let's break down the problem step by step to find the number of subscribers needed to bring a total profit of $123,525.

First, we know that the Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. This means that the current profit from the 3,000 subscribers is $20 x 3,000 = $60,000.

Management projects that the profit per subscriber would increase by 1¢ for each additional subscriber over the current 3,000. This means that for every additional subscriber, the profit increases by $0.01. Therefore, we need to find how many additional subscribers are required to reach a total profit of $123,525 - $60,000 = $63,525.

To find the number of additional subscribers needed, we divide the additional profit required by the increase in profit per subscriber: $63,525 / $0.01 = 6,352,500.

However, we need to remember that this number represents the total number of additional subscribers needed, not the final total number of subscribers. To find the final total number of subscribers, we add the additional subscribers to the current number of subscribers: 6,352,500 + 3,000 = 6,355,500.

Therefore, to bring a total profit of $123,525, the Vilas County News would need a total of 6,355,500 subscribers.

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The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

20

Step-by-step explanation:

Initial figure times scale factor = result

10 times 2 = 20

I hope this helps!

Answer:

B. 40

Step-by-step explanation:

What do you understand by sample size; a sample size is a little portion of a large number we which to investigate. Imagine we wanted to know the electricity consumption of people in a town of 200million people sometimes we could do that be investigating that of 50million especially when you know the conditions would be no different from others. In this sense the sample size is 50 million because that's the one we are investigating.

Similarly our concern of interest for investigation is 40, so that's the sample size.

In this probelm we have that

M is the midpoint of segment JL -----> by MK is a perpendicular bisector

so

JM=ML

substitute the given values

14x-9=8x+3

14x-8x=3+9

6x=12

x=2

Find JM

JM=14(2)-9

JM=28-9

JM=19

JL=2*JM

JL=2*19

Answer:

The answer is "88".

Step-by-step explanation:

If Jeff takes the box for someone else, the reward of the jeff and his share include that are:

\(\to 19+20+23+ 26\\\\\to 88\)

Complete Question

In a genetics experiment on​ peas, one sample of offspring contained 372 green peas and 35 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was​ expected?

Answer:

The  probability is  \(P(g) = 0.9140\)

No it is not close to the probability expected

Step-by-step explanation:

From the question we are told that

    The sample size is  \(n = 372 + 35= 407\)

      The  number of  green peas is  \(n_g = 372\)

    The  number of  yellow  peas is  \(n_y = 35\)

The  probability of getting an offspring pea that is green is mathematically represented as

         \(P(g) = \frac{n_g}{n}\)

substituting values

         \(P(g) = \frac{372}{ 407}\)

         \(P(g) = 0.9140\)

The  expected probability is  \(\frac{3}{4} = 0.75\)

But what we got is  \(P(g) = 0.9140\)

So we can say that the value obtained is not equal to the expected value

Answer:

4/3

Step-by-step explanation:

Z-4/9-1/3=5/9

Z-7/9=5/9

Z=5/9+7/9

Z=4/3 not sure

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

22 students per class

Step-by-step explanation:

hope this helps :)

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

The equation of the appropriate line of best fit is, the number of household y = 1.25x + 2

The scatterplot shows the number of households

How to determine the line of best fit?

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

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

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

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Answer:

146.5619<x<153.4381

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI =  xbar±(z*s/√n)

xbar is the mean = 150

s is the standard deviation = 15.50

n is the sample size = 55

z is the z score at 90% CI = 1.645

Substitute and get CI

CI = 150±(1.645*15.50/√55)

CI = 150±(1.645*15.50/7.4162)

CI = 150±(1.645*2.09)

CI = 150±(3.4381)

CI = (150-3.4381, 150+3.4381)

CI = (146.5619, 153.4381)

CI = 146.5619<x<153.4381

Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381

The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153

Given

What is the equation of the tangent line that passes through the point (-2,10) for the following function

Solution

The final answer

Three values of x that would result in y = cot x being undefined are  \(0,\pi ,2\pi\)

Given :

y=cot(x)

we need to find where cot(x) is undefined

We know that \(cot(x)=\frac{cotx}{sinx}\)

when the denominator is 0 then we can say cot(x) is undefined

Lets find out x values that makes sin(x) as 0

We know that sin(0)=0

\(sin(\pi )=0\\sin(2\pi )=0\)

x values values that makes sin(x)=0 are \(0,\pi ,2\pi\)

These x values makes the denominator of cot(x) as 0 and it is undefined

So , three values of x that would result in y = cot x being undefined are  \(0,\pi ,2\pi\)

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