can someone help me with this ?​

The circumference of the circle is 23.864 feet.

The circumference of a circle is the length of the arc of the circle, which if opened and straightened will become a line segment.

It can be calculated using this formula:

C = 2 π r = π d

where r is the radius, d is the diameter, and C is the circumference of the circle.

Now we use the formula for the problem:

C = π d

= 3.14 x 7.6

= 23.864 feet

Thus, the circumference of the circle is 23.864 feet

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Answer: (7, 0)

Step-by-step explanation:

We have the system of equations:

9*x - y = 63

x = y + 7

We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:

9*x - y = 63

9*(y + 7) - y = 63

Now we have an equation that only depends on one variable, so we can solve it:

9*y + 63 - y = 63

8*y + 63 = 63

8*y = 63 - 63 = 0

y = 0/8 = 0.

Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:

x = y + 7 = 0 + 7 = 7

Then the point that is a solution for the system of equations is (7, 0)

Answer:

a. Elena has fewer roses than Lin. Lin has 6 roses and Elena has x roses.

Step-by-step explanation:

Solution

We are given only two sample space 3,6

The probability of selecting either 3 or 6 is

0.5, 0.5

Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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The suitability of adoption measures may vary depending on the specific site conditions and project requirements. It is important to consult with experts in the field, such as civil engineers, hydrologists, and environmental consultants, to ensure the most appropriate measures are recommended for stormwater drainage, slope stability, and sediment control structures.

To research and recommend the most suitable, resilient, effective, and reliable adoption measures for stormwater drainage, slope stability, and sediment control structures, you can follow these steps:

1. Identify the specific requirements and constraints: Understand the site conditions, local regulations, and environmental considerations for stormwater drainage, slope stability, and sediment control. This will help you determine the appropriate measures to implement.

2. Conduct a site assessment: Evaluate the topography, soil composition, and hydrological characteristics of the area. This will provide insights into the severity of stormwater runoff, slope stability issues, and sediment transport patterns.

3. Determine the design criteria: Define the performance goals and design standards for stormwater drainage, slope stability, and sediment control. This could include factors like maximum allowable runoff volumes, peak flow rates, acceptable levels of erosion, and sediment retention capacity.

4. Research potential measures: Explore various techniques and technologies that address stormwater drainage, slope stability, and sediment control. Examples include:

  - Stormwater drainage: Implementing stormwater detention ponds, permeable pavements, green roofs, bioswales, or rain gardens to manage and treat stormwater runoff.

  - Slope stability: Installing retaining walls, slope stabilization techniques (such as soil nails, geogrids, or geotextiles), or implementing terracing to prevent slope failures.

  - Sediment control structures: Using sediment basins, sediment traps, silt fences, sediment ponds, or sediment forebays to capture and retain sediment before it enters water bodies.

5. Evaluate the effectiveness and resilience: Assess the performance, durability, and maintenance requirements of each measure. Consider their long-term viability, adaptability to climate change, and potential for reducing risks associated with stormwater runoff, slope instability, and sedimentation.

6. Select the most suitable measures: Based on your research and evaluation, identify the adoption measures that best meet the requirements and design criteria for stormwater drainage, slope stability, and sediment control. Prioritize measures that demonstrate a combination of effectiveness, resilience, and reliability.

7. Develop an implementation plan: Create a detailed plan for implementing the chosen measures. Consider factors such as cost, construction feasibility, stakeholder involvement, and any necessary permits or approvals.

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The formula to calculate the distance between two points in the cartesian plane is the following:

replacing:

The distance between the two points is 7.94 units

Answer:

The transformation is

reflection in the x axis

That's ( x , - y)

Hope this helps.

Answer:

600

Step-by-step explanation:

+2  

2 5

2 4

---------

 First 5 x 4=20 which means add 2 to the equation 2 x 4

Second 4 x 2=8 + 2=10 do first 3 numbers are 100

third we put a 0 below the first 0 on first line.

fourth do 5 x 2=10 so we add 1 to 2 x 2

fifth 2 x 2 + 1= 5

sixth 100 + 500=600 and there's your answer

Hope this helps have a great afternoon:)

The probability distribution used to model a random variable x that equals the number of events that occur within an interval or area of opportunity is the Poisson distribution. This is used to model a random variable representing the number of events occurring within a fixed interval or area of opportunity, given an average rate of occurrence.

The Poisson distribution is a discrete probability distribution that describes the probability of a given number of events occurring in a fixed interval of time or space, given the average rate at which events occur and the assumption that the events are independent of each other. It is commonly used in fields such as biology, physics, and engineering to model occurrences of rare events such as accidents, defects, or rare diseases.

The Poisson distribution has a single parameter λ, which represents the average rate of events occurring in the interval or area of opportunity. The probability of observing exactly k events in this interval is given by the Poisson probability mass function:

P(X=k) = (e^-λ * λ^k) / k!

where X is the random variable representing the number of events, e is the mathematical constant approximately equal to 2.71828, and k! is the factorial of k.

The Poisson distribution is similar to the binomial distribution but is used when the number of trials is very large and the probability of success is very small. In this case, the binomial distribution becomes impractical to use, and the Poisson distribution is a more appropriate model.

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________________________________

\(\small{\purple {\sf \underline{Part 1:}}}\)

\(\small{\purple {\sf \underline{To \: find\:y:}}}\)

________________________________

step 1:

\(y = 33⁰ + 87⁰\)

reason:

exterior angle is =sum of interior angles

________________________________

step 2:

\(y = 120⁰✓\)

after adding 33⁰ and 87⁰ we get 120⁰

________________________________

\(\small{\purple {\sf \underline{Part 2:}}}\)

\(\small{\purple {\sf \underline{To \: find\:x:}}}\)

________________________________

step 1:

\(x + y = {180}^{0} \)

reason:

leaner pear

________________________________

step 2:

\(120⁰ + x = 180⁰\)

Write value of y ie 120

________________________________

step 3:

\(x = 180⁰ - 120⁰\)

take 120⁰ to other side to subtract it with 180⁰

________________________________

step 4:

\(x = 60⁰✓\)

________________________________

⚡ Final answer:

x=60⁰✓

________________________________

hope it helped you:D

have a cheerful day!

Answer:

x = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (87 + 33)° = 180° - 120° = 60°

Benji made par or better on 7 holes in his round so far.

the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played

2x 6 0.4

The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /

(Number of holes played) = 0.4

Number of holes with par or better

/ (6 + 12 + 18) = 0.42x / 36 = 0.4

Cross-multiplying the above equation, we get,

2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2

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Answer:

the length of the thread remaining is 790 cm

Step-by-step explanation:

Given;

original length of the thread, L₀ = 10 m = 1000 cm

the length of the thread used, L₁ = 210 cm

The length of the thread remaining is calculated as follows;

ΔL = L₀ - L₁

ΔL = 1000 cm - 210 cm

ΔL = 790 cm

Therefore, the length of the thread remaining is 790 cm

Answer:

5

Step-by-step explanation:

-17, -17, -16 ,-9, 3, 7 ,7, 17, 17, 18

median ( middle number): (3+7)/2= 10/2= 5

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

Step-by-step explanation:

Answer:

The probability that exactly 4 of them favour the new building project is 0.0768

what is Probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Step-by-step explanation:

We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represents the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or samples.

From the information given,

p = 40% = 40/100 = 0.4

q = 1 - p = 1 - 0.4

q = 0.6

n = 5

x = r = 4

Therefore,

P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)

P(x = 4) = 5 × 0.0256 × 0.6

P(x = 4) = 0.0768

Hence, The probability that exactly 4 of them favour the new building project is 0.0768.

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Yes You can buy 24 apples for $0.125 per pound. This price will not available except in festival or discounts sale.

what are ounces ?

An ounce is a unit of weight or mass commonly used in the United States and other countries. It is usually abbreviated as oz. One ounce is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are often used to measure small quantities of food or ingredients in recipes, as well as for measuring the weight of small objects.

According to the question:

To determine whether you can buy 24 apples for $9, we need to find the cost per apple.

If 24 apples cost $9, then the cost per apple is:

$9 / 24 apples = $0.375 per apple

Since each apple weighs about 5 ounces, there are about 3 apples per pound:

16 ounces / 5 ounces per apple ≈ 3.2 apples per pound

Therefore, the cost per pound of apples is:

$0.375 per apple / 3 apples per pound = $0.125 per pound

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The standard deviation of the distribution = 1.5°F

Given that the distribution of daily high temperature is approximately normal.

Population mean, \(\mu\) = 86°F

Also approximately 95% of all daily high temperatures are between 83°F and 89°F.

So here \(X_1\) = 83°F and \(X_2\) = 89°F

We have the z - statistic ,

             \(z=\frac{x-\mu}{\sigma}\)

where \(\sigma\) is the Standard deviation.

For 95% probability, the z-value for normal distribution is 1.96.

As we consider the positive z-value, take X =  \(X_2\) =  89°F

So,   \(z=\frac{x-\mu}{\sigma}\)

⇒  \(\sigma = \frac{x-\mu}{z} = \frac{89-86}{1.96} =1.53\) ≈ 1.5°F

So the standard deviation of the distribution = 1.5°F

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Answer:

deos it really matter so if you really think about it what deos an cirlce and a 1 make put it together not the outside but the inside beutiful art work am i wright

Step-by-step explanation:

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

9

Step-by-step explanation:

8.547  =  9.000

The Pearson correlation coefficient (r) for the given data is -0.56.  The scatterplot indicates that as the day number increases, the number of fish caught decreases.

To find the Pearson correlation coefficient (r) for the given data, we need to analyze the association between two quantitative variables, which are the day and the number of fish caught per a six-hour fishing episode. By entering the data into a website such as artofstat.com, which provides a scatterplot of the data, descriptive statistics, and the Pearson correlation coefficient (r).

To find the Pearson correlation coefficient (r) for the given data, we can follow the steps outlined below:
Step 1: Enter the data into a website such as artofstat.com for analyzing the association between two quantitative variables.
Step 2: Select the Individual Observations option under Enter Data.
Step 3: Type or copy and paste the given data set into the spreadsheet window.
Step 4: Analyze the scatterplot of the data to determine the association between the two variables.
Step 5: Check the descriptive statistics provided by the website to get an idea of the central tendency and variability of the data.
Step 6: Find the Pearson correlation coefficient (r) for the data.

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The probability of both representatives being girls is 39/158, or approximately 0.247.

To find the probability of both representatives being girls, we first need to find the probability of selecting a girl as the first representative, and then the probability of selecting another girl as the second representative, given that the first one was a girl.

The probability of selecting a girl as the first representative is 40/80, or 1/2, since there are 40 girls in the group of 80 students.

Once a girl has been chosen as the first representative, there will be 39 girls left in the group of 79 students (since one student has already been chosen), so the probability of selecting another girl as the second representative is 39/79.

To find the probability of both events occurring (selecting a girl as the first representative and then selecting another girl as the second representative), we multiply the probabilities together:

1/2 x 39/79 = 39/158

Therefore, the probability is 39/158, or approximately 0.247.

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Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

Answer:

j = 3

Step-by-step explanation:

Recall the slope formula:

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Now, simply substitute the values from the question.

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

Now, use the cross-multiplication method. (remember, when subtracting negatives, the negative becomes a positive)

\(1(j-6)=3(-4+3)\)             Cross Multiplication

\(1(j-6)=3(-1)\)                   Simplify

\(j-6=-3\)                            Distributive Property

\(j=3\)                                     Addition Property

Therefore, j = 3.

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

The position number for term 47 is 269.

This is an arithmetic sequence since each term has a common difference. Let us test it.

The difference between 1st and 2nd terms is

-7 + d = -1

d = -1 + 7

  = 6

Now we check the difference for term

The difference between 3rd and 4th terms is

5 + d = 11

d = 11 – 5

  = 6

So the difference is the same so we can apply a common equation for arithmetic sequence

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

Where :

\(a_{n}\) = number at term n

\(a_{1}\) = first number of sequence

d = difference for each number sequence

n = term

From the question, we need to find the number at position term 47

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

\(a_{47}\) = -7 + 6 ( 47 - 1 )

    = -7 + 6 ( 46 )

    = -7 + 276

    = 269

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Yes, repeating two simple arithmetic operations will eventually transform every positive integer into 1.

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

f(n) = n/2 if n%2 = 0

f(n) = 3n + 1 if n%2 = 1

The above definition means that

f(n) = n/2 if n is even

f(n) = 3n + 1 if n is odd

To check if repeating operations would transform to 1, we can set n = 10

and then evaluate the function values

So, we have

f(10) = 10/2 = 5

f(5) = 3(5) + 1 = 16

f(16) = 16/2 = 8

f(8) = 8/2 = 4

f(4) = 4/2 = 2

f(2) = 2/2 = 1

See that the end result of the operations is 1

Hence, repeating two operations will transform every positive integer into 1

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