How do you find the perimeter of a tennis court with an area of 7,200?

Answers

Answer 1
most likely divide it by 4

Related Questions

A high school has 3636 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing greater than or equal to 194194 pounds?

Answers

To calculate the percentage of players weighing 194 pounds or more from a box plot, we need to know where 194 pounds falls in relation to the quartiles on the plot. Without the box plot details, we cannot perform the needed analysis.

The student's question appears to concern the analysis of a box plot depicted in their materials to find the percentage of players weighing 194 pounds or more on a football team. However, to accurately answer this question, we need the specific details from the box plot, including the median (Q2), first quartile (Q1), third quartile (Q3), and any outliers if provided. From the box plot, we would determine where the weight of 194 pounds falls in relation to the quartiles. If 194 pounds is at or above Q3, then you would expect a lower percentage of players above this weight; if it is below Q3, then the percentage could be higher.

The approach typically involves identifying the number of players within each quartile and calculating the corresponding percentages. Without the specific box plot data, we cannot perform these calculations. Should you provide the box plot details, we can review the quartiles and calculate the exact percentage of players weighing 194 pounds or more.

Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of x. round your answers to 3 decimal places.

Answers

Answers:

- mean: 2.667
- variance: 0.889

Explanation:

To get the mean and variance of x, we need to verify first whether...
- x is discrete or continuous random variable
- f is probability mass or probability density function

because if we cannot verify the 2 statements above, we can't compute the mean and the variance.

Since 0 < x < 4, x is a continuous random variable because x can be any positive number less than, which includes a non-integer.

Note that if the random variable is continuous and [tex]0 \leq f(x) \leq 1[/tex] for any values of x in the domain of f, then f is a probability density function (PDF). 

Note that

[tex]0 \ \textless \ x \ \textless \ 4 \\ \Leftrightarrow 0.125(0) \ \textless \ 0.125x \ \textless \ 0.125(4) \\ \Leftrightarrow 0 \ \textless \ 0.125x \ \textless \ 0.5 \\ \Leftrightarrow 0 \ \textless \ f(x) \ \textless \ 0.5 \\ \Rightarrow 0 \ \textless \ f(x) \ \textless \ 1 (\text{Because }0 \ \textless \ f(x) \ \textless \ 0.5 \ \textless \ 1)[/tex]

Hence, for any x in the domain of f, 0 < f(x) < 1. Moreover, since x is a continuous random variable, thus f is a PDF

First, we use the following notations for mean and variance:

E[x] = mean of x
Var[x] = variance of x

Since f is a probability density function, we can use the following formulas for the mean and the variance of x:

[tex]\boxed{\text{mean of }x = E[x] = \int_{-\infty}^{\infty}{xf(x)}dx}[/tex]

[tex]\boxed{\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2}} [/tex]

To compute for the mean of x,

[tex]\text{mean of }x = E[x] \\ = \int_{-\infty}^{\infty}{xf(x)}dx} \\ = \int_{-\infty}^{\infty}{x(0.125x)}dx} \\ \boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx}}[/tex]

The integral seems complicated because of the infinity sign. But because the domain of f is the set of positive numbers less than 4, that is,

[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]

the bounds of the integral for the mean can be changed from [tex]-\infty \ \textless \ x \ \textless \ \infty[/tex] to [tex]0 \ \textless \ x \ \textless \ 4[/tex] so that 

[tex]\boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx = \int_{0}^{4}{0.125x^2}dx}[/tex]

Hence, the mean is computed as 

[tex]\text{mean of }x = \int_{0}^{4}{0.125x^2}dx \\ = \left[ \frac{0.125x^3}{3} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^3}{3} \right] - \left[ \frac{0.125(0)^3}{3} \right] \\ \\ \boxed{\text{mean of }x = \frac{8}{3} \approx 2.667} [/tex]

Since the formula for variance is computed as 

[tex]\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2[/tex]

we must first compute for [tex]E[x^2][/tex] for which

[tex]E[x^2] = \int_{-\infty}^{\infty}{x^2 f(x)}dx \\ \\ = \int_{-\infty}^{\infty}{x^2(0.125x)}dx \\ \\ \boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx}[/tex]

Similar to the computation of integral of the mean, we take note that 

[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]

so that we can change the bounds of the integral, that is,

[tex]\boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx = \int_{0}^{4}{0.125x^3}dx}[/tex]

Hence,

[tex]E[x^2] = \int_{0}^{4}{0.125x^3}dx \\ \\ = \int_{0}^{4}{0.125x^3}dx \\ \\= \left[ \frac{0.125x^4}{4} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^4}{4} \right] - \left[ \frac{0.125(0)^4}{4} \right] \\ \\ \boxed{E[x^2] = 8}[/tex]

Because [tex]E[x] = \frac{8}{3} [/tex],

[tex]\text{Variance of }x \\ \\ = E[x^2] - (E[x])^2 \\ \\ = 8 - \left( \frac{8}{3} \right)^2 \\ \\ \boxed{\text{Variance of }x = \frac{8}{9} \approx 0.889}[/tex]


Final answer:

The mean of x is 1.35 and the variance of x is approximately 1.267.

Explanation:

To find the mean of x, we need to calculate the expected value. We can do this by multiplying each value of x by its corresponding probability and then summing up the results. In this case, using the given values and probabilities, we have 0(0.20) + 1(0.45) + 2(0.20) + 3(0.10) + 4(0.05) = 1.35. Therefore, the mean of x is 1.35.

To find the variance of x, we need to calculate the squared difference between each value of x and the mean, weighted by their respective probabilities. We then sum up these values. Using the formula for variance, we have (0-1.35)²(0.20) + (1-1.35)²(0.45) + (2-1.35)²(0.20) + (3-1.35)²(0.10) + (4-1.35)²(0.05). By simplifying this expression, we find that the variance of x is approximately 1.267.

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Six girls share 5 pints of milk equally.What fraction of a pint of milk does each girl get?

Answers

Each girl would get 1.2 Pints.
All you have to do is divide 6 by 5. 

There are 20 goldfish in a pond. Their population is increasing by 20% each year. The same pond has 100 minnows. The minnow population is increasing by 10 minnows each year. Make a graph to find the year that the two species of fish will have the same population. In what year will the fish populations be approximately the same?

Answers

The graph is attached, showing the intersection point at 13.5 years and populations of 235.2 for each population.

We only consider the portion of the graph from x=0 on, since negative time is illogical.  Tracing the graph we get the intersection point.

Answer:

13.5 years.

Step-by-step explanation:

We know that exponential growth function is in form [tex]y=a\cdot(1+r)^x[/tex], where, a is initial value and r is growth rate in decimal form.

Population of goldfish after x years would be [tex]y=20\cdot(1+0.20)^x[/tex].

We know that a linear function is in form [tex]y=mx+b[/tex], where, b is initial value and m is slope.

Population of minnow after x years would be [tex]y=100+10x[/tex].

Graphing both equations, we will get our required graph as shown in the attachment.

Since both graphs intersect at [tex]x=13.5[/tex], therefore, in the 13.5 years both populations will approximate the same.

For a science experiment,Juanita records the height of a plant every day in centimeters.What is the attribute measured in her experiment.

Answers

In Juanita's science experiment, the attribute measured is the plant's height, a key phenotypic trait in studying plant growth, which she records in centimeters, using consistent and precise units for scientific reliability.

The attribute measured in Juanita's science experiment is the height of a plant, which is a phenotypic trait important in plant biology. Juanita is collecting data related to plant growth by observing and recording the plant's height in centimeters daily. This meticulous tracking allows for analysis of plant growth patterns over time and the effect of various treatments, such as different fertilizers or amounts of water. The typical unit of measurement for the height of a plant is in centimeters or meters, which are part of the metric system used in scientific research.

During a laboratory experiment like the one Juanita is conducting, it is essential to measure such variables with precision and consistency. Measurements should be recorded using uniform units and methods to ensure reliability in the results, which may include the plant height, recorded in centimeters, at regular intervals. A graph representing this data might portray the number of days since the start of the experiment along the X-axis and the plant's height along the Y-axis, thereby allowing a visual assessment of the plant's growth over time.

G let x be an exponentially distributed random variable with parameter λ = 1 / 2 . determine the probability distribution function of the random variable y = x 2 . what kind of distribution does y have?

Answers

[tex]X[/tex] has CDF

[tex]F_X(x)=\mathbb P(X\le x)=\begin{cases}1-e^{-\lambda x/2}&\text{for }x\ge0\\0&\text{otherwise}\end{cases}[/tex]

The CDF of [tex]Y[/tex] is then

[tex]F_Y(y)=\mathbb P(Y\le y)=\mathbb P(X^2\le y)=\mathbb P(X\le\sqrt y)=F_X(\sqrt y)[/tex]
[tex]\implies F_Y(y)=\begin{cases}1-e^{-\lambda\sqrt y/2}&\text{for }y\ge0\\0&\text{otherwise}\end{cases}[/tex]
[tex]\implies F_Y(y)=\begin{cases}1-e^{-(y/(4/\lambda^2))^{1/2}}&\text{for }y\ge0\\0&\text{otherwise}\end{cases}[/tex]

which is the CDF of a Weibull distribution with shape parameter [tex]\dfrac4{\lambda^2}[/tex] and scale parameter [tex]\dfrac12[/tex].

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
g = –9 and h = 7
g = 9 and h = –3
g = –7 and h = 7
g = 7 and h = 3

Answers

Answer:

Its D i just took the test

Step-by-step explanation:

Answer:

D. g=7 and h=3

Step-by-step explanation:

A person earns 26,800 one year and gets a 5% raise in salary. What is the new salary?

Answers

Answer:

The new yearly salary is $28,140.

Explanation:

Amount of raise.
5%=0.05 
Multiply the original salary times the percentage of the raise.

$26,800×0.05=$1,340

New salary .

$26,800+1,340=$28,140

HOPE THIS HELPS! :)

This question is based on the concept of percentage. Therefore new salary when there is 5% raise in 26,800 is 28,140. There are many uses of calculating percent.

What is percent ?

Percent is a proportionate of a number. Percent is a dimensionless quantity that is it has no unit. Percent is always out of hundred whereas fraction is always from 1. It is represented with the sign %. There are many uses of calculating percent. It is used in calculating interest in bank. It used in calculating inflation rate.

Mathematically,

The new yearly salary  of a person is 28,140.

percentage of raise in salary is

5%=0.05

Multiply the original salary and  the percentage of the raise in salary

26,800×0.05=1,340

New salary =26,800+1,340=28,140

Therefore new salary when there is 5% raise in 26,800 is 28,140

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how to solve this word problem

Answers

We assume that
.. (number in school)/(560 lunches sold) = (60 students sampled)/(40 eat lunch)
Then
.. (number in school) = 560*60/40 = 840

Hal wants to make a 2 ½ foot banner from a 5-foot length of cloth. If he has marked 2.0 on the cloth, what does he have to do to find 2 ½ feet?

Answers

He has to mark 0.5 more cloth.

He can divide the 2.5 piece into fifths, and then add one of those fifths onto the 2.0 piece, to get a 2 [tex] \frac{1}{2} [/tex] piece.
---
Hope this helps!

Prime numbers have less 1.than two factors.
2.more than two factors. 3.exactly two factors. 4.less than or equal to two factors.

Answers

3 is your answer 

exactly 2 factors

Answer:

They just have 2 factors :/

Step-by-step explanation:

Bc yes

The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45\%45%45, percent.
At what price should the manager sell the couch?

Answers

Answer: $163.85

Explanation:

1) Data:

Purchase price: $ 113.00

mark up: 45%

2) Formula

selling price = purchase price + mark up

mark up = % * purchase price

3) Solution

mark up = 45% * $ 113.00 = 0.45 * $ 113.00 = $50.85

selling price = $ 113.00 + $ 50.85 = $ 163.85

Answer: $ 163.85

Answer:

163.85 bucks,bix,backs,boks :P

Step-by-step explanation:

In order to find the retail price, we must first find the amount of markup. Remember that a markup rate is a percentage of the wholesale price that a store adds to get a selling or retail price. With this knowledge, we can figure out the following equation:

markup rate× wholesale price = amount of markup

Since the markup rate is a percentage, we have to convert it into a decimal first. Percent means "out of one hundred," so 45% is equivalent to 45/100  which is also equal to 45 \ 100 so 45/100 = 0.45. 0.45 * 113 = 50.85.

Since the markup rate is a percentage of the wholesale price that is added to get the retail price, we can find the retail price with the following equation:

amount of markup + wholesale price = retail price. 50.85 + 113 = 163.85

1.3 to the second power

Answers

1.3 to the 2nd power is 1.3^2
 1.3^2 = 1.3 x 1.3 = 1.69

Two friends mix blue paint and yellow paint to make batches of green paint, as shown in the tables. Jarrod Cups Blue Cups Yellow 3 2 Ian Cups Blue Cups Yellow 5 2 Which correctly compares their ratios of blue to yellow paint?

Answers

Jarrod:
 Cups Blue Cups Yellow 
          3             2
 Ian: 
 Cups Blue Cups Yellow
          5              2
 We have that their ratios are:
 Jarrod: 3/2
 Ian: 5/2
 Comparing both ratios:
 Jarrod uses 60% yellow paint and 40% blue paint.
 Ian uses 71.4% yellow paint and 28.4% blue paint.
 Answer: 
 Jarrod: 3/2 
 Ian: 5/2

2(Square root 80/5 -5) = ??

Please help and show work! =^-^=

Answers

Final answer:

To solve the expression 2(√(80/5) - 5), we simplify the square root first, then subtract 5, and finally multiply by 2, which results in the solution -2.

Explanation:

To solve the expression 2(√(80/5) - 5), let's first simplify the square root and the division inside it.

We have √(80/5) = √16 = 4, since 80 divided by 5 is 16, and the square root of 16 is 4.

Next, we subtract 5 from 4: 4 - 5 = -1.

Finally, we multiply the result by 2: 2 * (-1) = -2.

Therefore, the solution to the expression 2(√(80/5) - 5) is -2.

The answer to the given question is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]

To solve the expression step by step:

 1. First, simplify the square root within the parentheses. The number 80 can be factored into [tex]\( 16 \times 5 \)[/tex], and since [tex]\( \sqrt{16} = 4 \),[/tex] we can rewrite[tex]\( \sqrt{80} \) as \( 4\sqrt{5} \).[/tex]

[tex]\[ 2\left(\frac{4\sqrt{5}}{5} - 5\right) \][/tex]

2. Next, distribute the 2 across the terms inside the parentheses:

[tex]\[ 2 \times \frac{4\sqrt{5}}{5} - 2 \times 5 \][/tex]

 3. Simplify each term:

[tex]\[ \frac{8\sqrt{5}}{5} - 10 \][/tex]

 4. At this point, we have the simplified form of the expression. However, if we want to combine the terms into a single fraction, we need a common denominator. The second term, -10, can be written as [tex]\( \frac{-10 \times 5}{5}[/tex]) to get the common denominator of 5:

[tex]\[ \frac{8\sqrt{5}}{5} - \frac{50}{5} \][/tex]

 5. Now, subtract the two fractions:

[tex]\[ \frac{8\sqrt{5} - 50}{5} \][/tex]

 6. This is the final simplified form of the expression. It cannot be simplified further algebraically because [tex]\( 8\sqrt{5} \)[/tex] and 50 do not have common factors other than 1.

Therefore, the final answer is: [tex]\[ \boxed{\frac{8\sqrt{5} - 50}{5}} \][/tex]

[tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) \][/tex]

And the final simplified answer is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]

The square footage of a house is 1200 square feet. What type of data is this?

Answers

The answer for the question shown above is: The square footage of a house that is 1200 square feet is the "Area".

 The explanation is shown above:

 1- By definition, the area is the measure of a two-dimensional surface.Its units can be written in m^2, ft^2, in^2...However, in the International System of Units is m^2. 

 2. This is very useful when you want to know the surface of a house. If it is a rectangular house, you can calculate the area as below:

 A=LxW

 Where L is the length and W is the width

 

A real estate agent knows that he will receive a commission of $4,250 from the sale of a property when the deal is completed 37 days from now. Needing cash today, though, he signs a discount note at a credit union, using his expected commission as the maturity value. The discount rate is 9.55%. Find the effective rate (APR).

Answers

The effective rate can be conveniently calculated from
.. effective rate = r/(1-rt)
Assuming a 365 day year, this is
.. = 9.55%/(1 -0.0955*(37/365))
.. ≈ 9.64%

a customer deposits $2000 in a savings account that pays 5.2% interest compounded continuously. how much will be earned between the 3rd and 5th yeards?

Answers

The amount of money a customer will earn between 3rd year and fifth year will be given as follows:
FV=p(1+r/100)^n
where:
FV=future value
r=rate
n=time

The amount earned in the first 3 years will be:
FV=2000(1+5.2/100)^3=$2,328.50

The amount earned in 5 years will be:
FV=2000(1+5.2/100)^5=$2,576.97

The amount earned  between 3rd and 5th
=2,576.96-2,328.50
=$248.46



What is the answer for # 24?

A B C or D

Answers

The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.

Cube

The volume of a cube of edge length s is

... V = s³

When the edge length is 6 in, the volume is

... V = (6 in)³ = 216 in³

Sphere

The volume of a sphere with radius r is

... V = (4/3)π·r³

When the radius is 3 in, the volume is

... V = (4/3)π·(3 in)³ = 36π in³

Space

Then the volume of the space between the cube and the sphere is

... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C

Help please!!!! I dont know this.

Answers

The triangle is a 3-4-5 right triangle (times 8), so the diameter is 40 in.

The area of the semicircle is
.. (1/2)π(20 in)^2 = 200π in^2

The area of the triangle is
.. (1/2)*(24 in)*(32 in) = 384 in^2

The shaded area is the difference
.. (200π -384) in^2

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2

Answers

(a+b)^2= a^2+b^2 +2ab
= 16 + 2 (8)
= 16 + 16
= 32
The answer is 4*sqrt(8)
Attached is my work.

Ben has 1/2 of a loaf of bread if he and his 3 friends share the 1/2 loaf equally how much of the whole loaf does each person get?

Answers

Given:
1/2 loaf of bread
3 friends

1/2 ÷ 3 ⇒ 1/2 * 1/3 = 1*1 / 2*3 = 1/6

In dividing fractions, get the reciprocal of the divisor and multiply it to the dividend
To find the answer use division

1/2 ÷ 3
or
1/2 ÷ 3/1

To divide fractions use Copy Dot Flip

Copy 
1/2 ÷ 3/1

Dot
1/2 · 3/1

Flip
1/2 · 1/3
1/6 is your answer

At noon, ship a is 50 km west of ship
b. ship a is sailing south at 10 km/h and ship b is sailing north at 20 km/h. how fast is the distance between the ships changing at 4:00 pm? (round your answer to one decimal place.) 23.05 incorrect: your answer is incorrect. km/h

Answers

Final answer:

At 4:00 pm, the distance between the ships is changing at a rate of 30 km/h.

Explanation:

To find how fast the distance between the two ships is changing, you can use the Pythagorean theorem, as the two ships are moving at right angles to each other (north and south). Let's denote the distance between the two ships as "D," the speed of ship A as "vA," and the speed of ship B as "vB."

At any given time, you have:

D² = (Distance ship A travels)² + (Distance ship B travels)²

Now, we can differentiate both sides of this equation with respect to time "t" to find how the distance "D" is changing:

2D * dD/dt = 2(vA * dA/dt) + 2(vB * dB/dt)

Here, dD/dt represents the rate of change of the distance between the ships, dA/dt is the speed of ship A (10 km/h), and dB/dt is the speed of ship B (20 km/h).

Plug in the values:

2 * (dD/dt) = 2 * (10 km/h) + 2 * (20 km/h)

Now, solve for dD/dt:

2 * (dD/dt) = 20 km/h + 40 km/h

2 * (dD/dt) = 60 km/h

Now, divide by 2:

dD/dt = 60 km/h / 2 = 30 km/h

So, at 4:00 pm, the distance between the two ships is changing at a rate of 30 km/h.

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HELP PLEASE , THANK YOU IF YOU DO!!!!

Answers

The third one down, but you would be far better off just using the original quest.

5 goes right 5 units and that's where you begin.
-6 goes left and that's where you end up.
The answer is minus 1.

A number line works best when you are dealing with 1 sign between numbers. Two signs will only confuse you.

Find the area of the triangle that divides the parallelogram in half

Answers

Could you please provide a picture so we can answer it better?

what is -6x = -24
13 points

Answers

Divide the equation by the coefficient of x.
.. (-6x)/-6 = (-24)/-6
.. x = 4

_____
You asked "what is ..."
Answer: it is a "one-step" linear equation in x.

Solve the division problem. Round answer to the nearest hundredth. 9.252.063

Answers

9.252.063 rounded to the nearest hundredth is 9.252.060

The answer would be 9.252.060

What are the zeros of the polynomial function?

f(x)=x^2+9x+20

Enter your answers in the boxes.

Answers

First compute the discriminant delta:
9^2-4*1*20=1. 
Using the quadratic formula, we get the solutions:
[tex] \frac{-9-1}{2} =-5\\ \frac{-9+1}{2}=-4 [/tex]
the solutions are then -4 and -5. 

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

6 in3
24 in3
36 in3
48 in3

Answers

Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³
Answer: C 

A bag contains 2 red balls and 18 green balls. A ball is chosen at random from the bag. What is the BEST answer for the probability of drawing a green ball?

Answers

20 balls total

18 green

 18/20 = 9/10 probability
There are 20 total balls in the bag, and 18 of these 20 balls are green. Therefore, the probabability of choosing a green ball is 18/20, which simplifies to 9/10 (if you divide both the numerator and denominator by the greatest common factor of 2).
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