The foutain in the of a park is circular with a diameter of 16 feet. There is a walk way that is 3 feet wide that goes around the fountain what is the approximate are of the walkway?

Answers

Answer 1

The approximate area of the walkway is 179 square feet.

To find the area of the walkway, we need to subtract the area of the inner circle (fountain) from the area of the outer circle (walkway + fountain).

The radius of the fountain is half the diameter, which is 16/2 = 8 feet.

The radius of the outer circle is the radius of the fountain + the width of the walkway, which is 8 + 3 = 11 feet.

The area of a circle is πr², where π (pi) is approximately 3.14.

So, the area of the fountain is:

π(8)² ≈ 201 square feet

And the area of the walkway plus fountain is:

π(11)² ≈ 380 square feet

To find the area of just the walkway, we subtract the area of the fountain from the area of the walkway plus fountain:

380 - 201 ≈ 179 square feet

So, the approximate area of the walkway is 179 square feet.

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Related Questions

4 less than y is greater than 5

Answers

Answer:

Step-by-step explanation:

The equation would be: y-4>5

Hope this helps...

An estimator is _____ if the Expected Value of the estimator is exactly equal to the parameter that it is estimating A. Unbiased B. Efficient C. Consistent D. Normally

Answers

An estimator is Unbiased if the Expected Value of the estimator is exactly equal to the parameter that it is estimating. The correct answer is A.

An estimator is a statistic used to estimate an unknown population parameter, such as the mean or variance. An unbiased estimator is one that, on average, produces estimates that are equal to the true value of the population parameter being estimated. This means that the expected value of the estimator is exactly equal to the parameter it is estimating.

For example, if we are trying to estimate the population mean μ using a sample mean x', the sample mean x' is an unbiased estimator of μ if the expected value of x' is exactly equal to μ. In other words, if we take many random samples from the population, the average of those sample means will be very close to the population mean.

Unbiasedness is an important property for an estimator to have because it ensures that the estimator is not systematically overestimating or underestimating the population parameter.

An estimator that is biased will tend to consistently overestimate or underestimate the true value of the parameter, which can lead to incorrect conclusions or decisions based on the estimates.

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Please rply asap brainliest

Please rply asap brainliest

Answers

Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

The unemployment rate in a city is 16%. If 8 people from the city are sampled at random, find the probability that fewer than 3 of them are unemployed. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

Answers

The probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91, indicating that there is a high chance of having at least 3 employed people in the sample.

It can be solved using the binomial distribution formula.

Let X be the number of unemployed people in a sample of 8 from the city.

Then X follows a binomial distribution with parameters n = 8 and p = 0.16, since the probability of an individual being unemployed is 0.16.

The probability of fewer than 3 people being unemployed is the probability of X = 0, 1, or 2.

We can compute this probability as:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}

We can compute each term separately:

P(X = 0) = (8 choose 0) * 0.16⁰ * 0.84⁸ ≈ 0.3252

P(X = 1) = (8 choose 1) * 0.16¹* 0.84⁷ ≈ 0.3772

P(X = 2) = (8 choose 2) * 0.16² * 0.84⁶ ≈ 0.2035

Therefore,

P(X < 3) ≈ 0.3252 + 0.3772 + 0.2035 ≈ 0.906

Rounding to two decimal places, the probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91.

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The slope of the line below is -0.5. Enter the equation for the line in point-
slope form.
(1, 1)

Answers

The equation for the line in point-(1, 1) is y = -0.5x + 0.5.

Given that the slope of the line below is -0.5. We are to enter the equation for the line in point-(1, 1).The equation for the slope-intercept form of the line is y = mx + c where m is the slope and c is the y-intercept.

Now, the slope of the line is given as -0.5.Therefore, the equation for the slope-intercept form of the line is y = -0.5x + c. Now we need to find the value of c for the equation of the line.

To find the value of c, substitute the values of x and y in the equation of the slope-intercept form of the line.

Given that the point is (-1,1), x=-1 and y=1y = -0.5x + c⇒ 1 = (-0.5) (-1) + c⇒ 1 = 0.5 + c⇒ c = 1 - 0.5⇒ c = 0.5

Therefore, the equation for the line in point-(1, 1) is y = -0.5x + 0.5.The slope of a line refers to how steep the line is and is used to describe its direction. Slope is defined as the vertical change between two points divided by the horizontal change between them.A positive slope moves up and to the right, while a negative slope moves down and to the right. If a line has a slope of zero, it is said to be a horizontal line.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept, or the point at which the line crosses the y-axis. To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.

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Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?

Answers

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Pleasee I need it asap

Pleasee I need it asap

Answers

Answer:

What is the length of EF: 12

What is the length of BC: 8

Step-by-step explanation:

Since there congruent shapes the line segments are gonna be the same lengths.

Answer:

Step-by-step explanation:

If the figures are congruent then BA and FE are equal. You only know this by the shape.

EF = 12BC = 8Both are corresponding parts of equal triangles.

help please help please help please

help please help please help please

Answers

Answer:

Check picture

Step-by-step explanation:

help please help please help please

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?​

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the

Answers

Answer:

C

Step-by-step explanation:

The number of tickets the airline still sells will be 88. Then the correct graph is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

An airplane can seat up to 175 passengers.

The airline has already sold 87 tickets for a flight on the airplane.

Then the graph represents the solution to the inequality that the number of tickets the airline still sells will be

Let x be the number of the ticket which need to sell. Then the inequality equation will be

x + 87 ≤ 175

       x ≤ 175 - 87

       x ≤ 88

Thus, the correct option is A.

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A class has a ratio of 1: 2 girls to boys. A class has a ratio of 1: 2 girls to boys.
a) What fraction are girls?
b) What fraction are boys?
c) If there are 10 girls in the class, how many boys are there

Answers

Answer:

Attached

Step-by-step explanation:

A class has a ratio of 1: 2 girls to boys. A class has a ratio of 1: 2 girls to boys. a) What fraction

The four control points in 2D plane are Po(0,0) ?, (1, 1), P₂ (2,-1) and P3 (3,0). The tangent veehrs at the end points are Po'(1,1) & P3'(1,1). Determine the intermiclate points on the Humite curve at t = 1/3 & 2/3

Answers

The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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A rectangle has an area of 3/2 square yards,if the width of the rectangle is 1/2 yard,what is the length of the rectangle,in yards?

Answers

Answer:

3

Step-by-step explanation:

1/2 x 3 = 3/2

How many whole numbers are less than k, if k is a whole number?

Answers

The set of the whole numbers is the set of all the positive integers and the zero. So we can write it as:

{0, 1, 2, 3, 4, ...}

We will see that:

if k is a whole number, then there are k whole numbers that are smaller than k.

Let's see how we got that:

Now, we know that k is a whole number, then just let's assign different whole numbers to k and count how many whole numbers are smaller than k.

if k = 1

We have 1 whole number smaller than k, that is the zero.

if k = 2

We have 2 whole numbers smaller than k, the zero and the 1.

if k = 3

we have 3 whole numbers smaller than k, {0, 1, 2}

We already can see the pattern.

if k is a whole number, then there are k whole numbers that are smaller than k.

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a package of balloons contains 5 green3 yellow 4 red and 8 pink balloons suppose you reach in the package and choose one balloon at random determine the probability of each event

Answers

The probability of choosing a green balloon is 0.25. The probability of choosing a yellow balloon is 0.15. The probability of choosing a red balloon is 0.2. The probability of choosing a pink balloon is 0.4.

These probabilities indicate the likelihood of selecting each color of balloon when randomly reaching into the package.

The probability of each event when choosing one balloon at random from the package can be determined as follows:

Probability of choosing a green balloon:

The package contains a total of 5 green balloons. Therefore, the probability of selecting a green balloon is 5/(5+3+4+8) = 5/20 = 1/4 = 0.25.

Probability of choosing a yellow balloon:

The package contains a total of 3 yellow balloons. Thus, the probability of selecting a yellow balloon is 3/(5+3+4+8) = 3/20 = 0.15.

Probability of choosing a red balloon:

The package contains a total of 4 red balloons. Hence, the probability of selecting a red balloon is 4/(5+3+4+8) = 4/20 = 0.2.

Probability of choosing a pink balloon:

The package contains a total of 8 pink balloons. Consequently, the probability of selecting a pink balloon is 8/(5+3+4+8) = 8/20 = 0.4.

To summarize:

The probability of choosing a green balloon is 0.25.

The probability of choosing a yellow balloon is 0.15.

The probability of choosing a red balloon is 0.2.

The probability of choosing a pink balloon is 0.4.

These probabilities indicate the likelihood of selecting each color of balloon when randomly reaching into the package.

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write down the temperature which is 5°c below -2°c​

Answers

Step-by-step explanation:

below -2°

that means

-2 - 5 = -7° C

Answer:

-7 degrees

Step-by-step explanation:

On Monday, Franco borrowed 15$ from his friend.Tuesday, Franco borrowed 12$ more from his friend. Franco plans to pay his friend back $18 on Wednesday. What will Franco’s balance be on Wednesday?

Answers

Answer:

He stills owes 9 dollars.

Step-by-step explanation:

-12+-15= -27. -27- 18= 9 .

He still owes $9 but he has 0 at the moment

A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.

Answers

Answer:

24

Step-by-step explanation:

40 divided by 5 = 8

8 x 3 = 24

Plz mark me brainsliesttttt

Pls Help. This is about ratios and proportions and all that

Pls Help. This is about ratios and proportions and all that

Answers

The student needs to score 64 points on the 80-point test to get a test score of 80%.

Let x be the number of points the student needs to score on the 80-point test to get a test score of 80%. We can set up the proportion:

x/80 = 80/100

In words, this proportion says that the ratio of the student's score (x points) to the total points on the test (80 points) is equal to the ratio of the desired test score (80%) to 100%.

We can simplify this proportion by multiplying both sides by 80:

x = (80/100) x 80

x = 64

Therefore, the student needs to score 64 points on the 80-point test to get a test score of 80%.

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Help!! Will Give Brainliest

Help!! Will Give Brainliest

Answers

Answer:

i think its the top one to the left, i hope it helps!

Step-by-step explanation:

how do I solve the value of this​

how do I solve the value of this

Answers

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Help quick plz i will make you a brainllest

Help quick plz i will make you a brainllest

Answers

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

I need help on number three pls help

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

To find a softball player's batting average, divide the player's number of hits
by the player's number of turns at bat. Kazuko has 26 hits in 125 turns at
bat. Savanna has 11 hits in 50 turns at bat. Who has a greater batting
average? Show your work.

Answers

Kazuko's batting average = 26/125 = 0.208
Savanna's batting average = 11/50 = 0.22

Savanna has a greater batting average.

PWEAS HELP MEHHHHH with this Math Question Full Sentences Please and Correct Answer's Please!!!!

PWEAS HELP MEHHHHH with this Math Question Full Sentences Please and Correct Answer's Please!!!!

Answers

Answer:

Option 3 is the correct answer because the shade is above the line for a greater than symbo the you plot the y intercept 1 and the slope -3.

Not sure if this helps.

Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
A.reasonably close to
B.very different from
40%.
Mr. Clark's claim about the theoretical probability is likely to be
A.true
B.false

This means that the theoretical probability of tails is most likely
A.0.50
B.0.60
C.0.70

Answers

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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Solve for 'x' Side Splitter Theorem

Solve for 'x' Side Splitter Theorem

Answers

Answer:

x = 10

Step-by-step explanation:

The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is

\(\frac{2x-5}{10}\) = \(\frac{28-8}{8}\) = \(\frac{20}{8}\) ( cross- multiply )

8(3x - 5) = 200 ← distribute left side

24x - 40 = 200 ( add 40 to both sides )

24x = 240 ( divide both sides by 24 )

x = 10

It takes 282828 minutes for 777 people to paint 777 walls. How many minutes does it take 141414 people to paint 141414 walls?

Answers

Complete Question

It takes 28minutes for 7 people to paint 7 walls. How many minutes does it take 14 people to paint 14 walls?

Answer:

28 minutes

Step-by-step explanation:

It takes 28minutes for 7 people to paint 7 walls.

Hence, the today number of minutes for 1 person to paint the wall =>

7 people = 28 minutes

1 person = 28 minutes × 7 people =

198 people minutes = 7 walls

1 wall = 198 /7

1 wall = 28 people minutes

How many minutes does it take 14 people to paint 14 walls?

From the above calculation,

1 wall = 28 people minutes

14 walls =

= 14 walls × 28 people minutes/14 People

= 28 minutes

Therefore, it would take 28 minutes for 14 people to paint 14 walls.

i need help with this question -10 + 3√2.

Answers

Answer:

-5.75736     or    \(\frac{1}{-10+3√2}\)

Step-by-step explanation

plz help with this 2nd one.

plz help with this 2nd one.

Answers

Answer:

-4

Step-by-step explanation:

5-2=3

3/3=1

1-5= -4

Answer:

the x = -4, just because

3(x+5)+2=5, so 3x+15+2=5 then 3x=-12. x=-12/3

What is the sum of these numbers?


+7+(-4)=

Answers

Answer:

3

Step-by-step explanation:

Since + × - = -

The - sign will change

+7 - 4 = 3

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