A rectangular dog run has a width of 2 √7 yards and a length of 10 √7 yards.
here is the rest of the problem:



The owner has 2 dogs that need to be separated so she is going to put a diagonal fence connected on each corner.

a. What would the length and width be in decimals? Round to one decimal place.

b. How long is the diagonal fence? Write your answer in radical and decimal form.

c. The old fence doesn’t match the new fence so she wants to replace it. How many yards of fencing does she need? Write your answer in radical and decimal form.

To determine the sample size necessary for this study, we use the formula: n = (Z^2 * p * q) / E^2. The necessary sample size is approximately 1091.

Where:
- n = sample size
- Z = Z-score for the desired confidence level (98% confidence level corresponds to a Z-score of 2.33)
- p = estimated proportion (based on the information given, p = 0.8)
- q = 1 - p
- E = desired margin of error (3 percentage points)

Plugging in the values:

n = (2.33^2 * 0.8 * 0.2) / 0.03^2
n = 806.67

Rounding up to the nearest whole number, we get a sample size of 807. Therefore, the researcher needs to survey at least 807 women to be 98% confident that the proportion of women who wear shoes that are too small is within 3 percentage points of the true proportion.

To determine the necessary sample size for this study, we can use the formula for sample size calculation in proportion estimation:

n = (Z^2 * p * q) / E^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, p is the estimated proportion, q is the complement of the proportion (1 - p), and E is the margin of error.

In this case, we have:
- Confidence level: 98%, which corresponds to a Z-score of 2.33 (from the standard normal distribution table)
- Estimated proportion (p): 80% or 0.80
- Complement of the proportion (q): 1 - 0.80 = 0.20
- Margin of error (E): 3 percentage points or 0.03

Now, we can plug these values into the formula:

n = (2.33^2 * 0.80 * 0.20) / 0.03^2
n ≈ 1090.65

Since we need to round to the nearest whole number, the necessary sample size is approximately 1091.

Learn more about Z-score at: brainly.com/question/31871890

#SPJ11

To determine how many cans of paint Mrs. Holland needs to paint her garage wall, we need to find the area of the wall. The wall measures 6 2/3 by 3 1/7, which can be converted to an improper fraction to make calculations easier.

6 2/3 = (6x3 + 2)/3 = 20/3

3 1/7 = (3x7 + 1)/7 = 22/7

So the wall measures 20/3 meters by 22/7 meters. To find the area, we can multiply these two values:

(20/3) x (22/7) = 440/21 square meters

Each can of paint covers 5 square meters, so we need to divide the area of the wall by 5 to determine how many cans of paint we need:

(440/21) ÷ 5 ≈ 4.19 cans

Since we can't buy a fraction of a can of paint, we need to round up to 5 cans.

So, it will cost Mrs. Holland 5 cans x $7.50 per can = $37.50 to paint her garage wall.

Learn more about fraction  here: brainly.com/question/12770542

#SPJ11

The solution is x = 0 and y = 22.

Equation 1: y = -3x + 22

Substitute y in Equation 2:

5x + 2(-3x + 22) = 44

Simplify and solve for x:

5x - 6x + 44 = 44

-x + 44 = 44

-x = 0

x = 0

Substitute x = 0 back into Equation 1 to find Y:

Y = -3(0) + 22

Y = 0 + 22

Y = 22

So the solution is x = 0 and y = 22.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

The expression that best models the population of the herd is:

y = (34/5)x - 558, where y is the population of the herd, and x is the time in years since 2010.

To model the population of the bison herd as a linear function of time, we can use the slope-intercept form of a linear equation, which is y = mx + b, where y is the population of the herd, x is the time in years since 2010, m is the slope of the line, and b is the y-intercept of the line.

To find the slope of the line, we can use the formula:

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

where (x1, y1) is the point (2010, 122), and (x2, y2) is the point (2015, 156).

m = (156 - 122) / (2015 - 2010) = 34 / 5

So the slope of the line is 34/5.

To find the y-intercept of the line, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is the point (2010, 122), and m is the slope we just found.

y - 122 = (34/5)(x - 2010)

y - 122 = (34/5)x - 13668

y = (34/5)x - 13546

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

The number of trials is typically represented by the letter "n" in statistics. This refers to the number of independent and identical observations that are taken during an experiment or study. The population proportion, on the other hand, is often represented by the letter "p".

This refers to the proportion or percentage of individuals in a population that exhibit a certain characteristic or behavior. For example, if we were studying the proportion of people who prefer chocolate ice cream, "p" would represent the percentage of people in the population who prefer chocolate ice cream.

It's important to note that the number of trials and the population proportion are both key factors in statistical analysis, as they can help researchers draw conclusions about the population as a whole based on a smaller sample size.

To know more about Trials visit :

https://brainly.com/question/12255499

#SPJ11

We cannot conclude that listening to Mozart will lead to much higher scores on an IQ test based on the given information.

While the mean IQ scores were 1.2 points higher after listening to Mozart, the statistical significance of this difference depends on the chosen level of significance (alpha level) and the sample size. The p-value of 0.0004 indicates that if there is no difference in IQ scores between the Mozart and silent background conditions in the population, there is only a 0.04% chance of observing a sample mean difference of 1.2 points or larger. However, we would need to know the alpha level and sample size used in the study to determine if this is statistically significant at a practical level. Additionally, this experiment only shows a correlation between listening to Mozart and higher IQ scores, and cannot prove causation.

To know more about higher scores,

https://brainly.com/question/16278100

#SPJ11

Answer:

36 cm

Step-by-step explanation:

the total length of the lines that pat draws on the second piece of paper is 36 cm.

If this assumption is not met, the risk we run in making inferences about the population is that our conclusions may be biased or inaccurate, leading to misleading or incorrect results when applied to the entire population of heart-attack patients. This could have negative implications for treatments or public health policies based on these inferences.

In order for us to use this sample of 30 heart-attack patients to make inferences about the whole population of heart-attack patients, we must assume that the sample is representative of the population. This means that the 30 patients were chosen randomly from the population of heart-attack patients and that the sample accurately reflects the characteristics of the population. Additionally, we must assume that the sample size is large enough to provide reliable results.
If this assumption is not met, then we run the risk of making incorrect inferences about the population of interest. For example, if the sample is biased and not representative of the population, the inferences we draw may not be applicable to the larger population. Similarly, if the sample size is too small, our inferences may be unreliable and subject to sampling error.
In order to avoid these risks, it is important to carefully consider the sampling method and sample size when conducting research. By ensuring that the sample is representative and the size is appropriate, we can have more confidence in our inferences about the larger population. Answer more than 100 words.
To make inferences about the whole population of heart-attack patients using a sample of 30, we must assume that the sample is representative of the entire population. This means that the sample should be random, unbiased, and large enough to capture the diversity in the population.

To know more about Population visit:

https://brainly.com/question/30935898

#SPJ11

Answer:

the answer is -2

MARK IT AS A BRAINLIEST PLS, THANKS!

A sample size of at least 241 U.S. residents would be required to reduce the standard deviation of the sampling distribution to one-half its original value, assuming that the true proportion of U.S.

The standard deviation of a sample proportion is given by the formula:

σ = √p(1-p)/n

where p is the true population proportion, and n is the sample size.

We want to find the sample size that will reduce the standard deviation to one-half its original value.

In other words, we want to find n such that:

σ/2 =√p(1-p)/n

Squaring both sides and solving for n, we get:

n = p(1-p)/(σ/2)²

Using the given value of p = 0.15, and assuming that the standard deviation of the sampling distribution is the same as the population standard deviation, which is approximately:

σ =√p(1-p)) = √0.15 × 0.85) ≈ 0.354

we can plug in the numbers and solve for n:

n = 0.15 × 0.85 / (0.354/2)²

= 240.2

Therefore, a sample size of at least 241 U.S. residents would be required to reduce the standard deviation of the sampling distribution to one-half its original value, assuming that the true proportion of U.S.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

The answer is 5/10

Step-by-step explanation:

Just trust me! I got it right!

To calculate the probability of the next treat eaten by a blue jay being a peanut, we need to determine the ratio of peanuts to the total number of treats observed.

Based on the data provided, we can count the number of peanuts eaten by the blue jays. In this case, out of the 10 treats listed, 5 of them are peanuts.

To calculate the probability, we divide the number of peanuts by the total number of treats observed. Therefore, the probability that the next treat eaten by a blue jay will be a peanut is 5/10 or 0.5 (50%).

Since the blue jays have eaten an equal number of peanuts and non-peanut treats so far, the probability suggests that the next treat they consume is equally likely to be a peanut or a different type of treat.

Learn more about Probability here: brainly.com/question/32004014

#SPJ11

The probability of selecting a star-shaped straw from a cup that contains orange juice is 1/3.

The probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is obtained by dividing the number of cups containing orange juice and star-shaped straws by the total number of cups containing orange juice.

P(probability) = (Number of cups containing orange juice and star-shaped straws) / (Number of cups containing orange juice)

We are not given any information about the number of cups, thus we can assume that it is an equal amount. Hence, the number of cups containing orange juice would be equal to the number of cups containing different flavored juices. Therefore, Number of cups containing orange juice = Number of cups containing different flavored juices

The number of cups containing orange juice and star-shaped straws is not given, so we can assume that it is 3 since there are three flavors of juice. The number of cups containing orange juice and star-shaped straws = 3

Thus, the probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is: Probability = (3/9) = 1/3

You can learn more about probability at: brainly.com/question/31828911

#SPJ11

Realizando los cálculos, encontramos que el kilo de plátanos tiene un precio de 1.20€ y el kilo de peras tiene un precio de 1.80€.

Para resolver este problema, podemos plantear un sistema de ecuaciones utilizando el método de sustitución. Denotemos por "x" el precio del kilo de plátanos y por "y" el precio del kilo de peras.

A partir de la primera información, tenemos la ecuación 2x + 3y = 7.80€.

De la segunda información, obtenemos la ecuación 5x + 4y = 13.20€.

Podemos resolver este sistema de ecuaciones utilizando el método de sustitución. Despejamos "x" de la primera ecuación: x = (7.80€ - 3y)/2.

Sustituyendo este valor de "x" en la segunda ecuación, tenemos:

5((7.80€ - 3y)/2) + 4y = 13.20€.

Simplificando y resolviendo la ecuación resultante, encontramos el valor de "y" (precio del kilo de peras). Después, sustituimos este valor en la primera ecuación para obtener el valor de "x" (precio del kilo de plátanos).

Realizando los cálculos, encontramos que el kilo de plátanos tiene un precio de 1.20€ y el kilo de peras tiene un precio de 1.80€.

For more such questions on Realizando los cálculos

https://brainly.com/question/17062598

#SPJ8

Step-by-step explanation:

There are 36 possible rolls

NONE will result in a '5'  total

0/36    

 there is nothing on the blue die that added to from the green die = 5

The statement "answer = x > 100 ? 0 : 1;" is a ternary operator in programming, which means it evaluates a condition and returns one of two values depending on whether the condition is true or false. The answer is: B) Assign 1 to answer.

In this case, the condition is "x > 100", which means "Is x greater than 100?"

If x equals 17 and answer equals 20, the condition is false because 17 is not greater than 100. Therefore, the statement will return the value after the question mark, which is 1.

So the answer is: B) Assign 1 to answer.

The given statement is using the ternary conditional operator, which has the following format: condition ? value_if_true : value_if_false.

In this case, the statement is:
answer = x > 100 ? 0 : 1;

Given that x = 17 and answer = 20, let's evaluate the statement step-by-step:

1. Check the condition: x > 100
  Since x = 17, the condition is false (17 is not greater than 100).

2. Since the condition is false, we choose the value after the colon (:), which is 1.

3. Finally, assign the chosen value to answer: answer = 1

So the correct option is B) Assign 1 to answer.

Learn more about programming at: brainly.com/question/14368396

#SPJ11

The final Exponential function is: y = 20(4)^x

To write an exponential function in the form y = ab^x that goes through two points, we need to first determine the values of a and b.

Given points (0, 20) and (2, 320), we can use the first point to determine the value of a:

y = ab^x

20 = ab^0  (when x = 0, y = 20)

20 = a(1)

a = 20

Now we can use the second point to determine the value of b:

y = ab^x

320 = 20b^2  (when x = 2, y = 320)

16 = b^2

b = 4 or -4

Since b cannot be negative in this case (as it is an exponential growth function), we can use b = 4.

Therefore, the exponential function that goes through the points (0, 20) and (2, 320) is:

y = 20(4)^x

We can check this by plugging in the x-values of the two given points:

y = 20(4)^0 = 20 (when x = 0, y = 20, as expected)

y = 20(4)^2 = 320 (when x = 2, y = 320, as expected)

So the final exponential function is: y = 20(4)^x

To know more about Exponential function .

https://brainly.com/question/2456547

#SPJ11

The Area of the figure below is composed of a rectangle and semicircles that will be 56.1 unit sq.

The semicircles can be composed into a circle with a radius 3,

The area of a circle is πr² where r is the radius.

πr²= 3 x 3 /2 π

A ≈ = 99/7

A = 14.1

The area of the rectangle = Length x width

= 7 x 6

= 42

Total area of a figure = 14.1 + 42 = 56.1

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

HELLO

8x² - 2x = 1

8x² - 2x - 1 = 0

x = (-b±√(b² - 4ac)) / 2a

= (-(-2)±√((-2)² - 4*8*(-1))) / (2*8)

= (2±6)/16

x₁ = (2+6)/16 = 1/2

x₂ = (2-6)/16 = -1/4

Once you have the dimensions for each part, let me know, and I can assist you with the volume calculations and rounding to the nearest whole cubic meter. I can guide you through the process of calculating the volume of each part of the sculpture.

To calculate the volume of each part, we need to know the dimensions or specific shape of each part. If you provide the dimensions or shape information, I can help you calculate the volumes.

In general, to calculate the volume of a three-dimensional shape like a rectangular prism or cylinder, you multiply the length, width, and height (or base area and height) of the shape. Make sure to use consistent units of measurement (such as meters) for accurate results.

If you can provide the specific shapes and dimensions of the three parts of the sculpture, I can assist you in calculating their volumes. Once we have the dimensions, we can use the appropriate volume formulas and round the results to the nearest whole cubic meter, as instructed.

For such more questions on Dimensions:

https://brainly.com/question/28464

#SPJ11

Note the full question is Part B

The artist will use concrete to create the form of the sculpture. How much concrete will the artist need to make up each of the three parts that make up the sculpture?

Use the text tool to write the volume of each of the three parts on the diagram. Round each volume to the nearest whole cubic meter.

To determine the amount of concrete needed for each part of the sculpture, calculate the volume of each part based on their geometrical shape's formula and round to the nearest whole cubic meter.

To calculate the amount of concrete the artist will need for the sculpture, we need to know the volume of each of the three parts comprising the sculpture. Volumes of geometric forms are generally calculated using the formulas:

By substituting the given dimensions of each part into the appropriate formula, we can calculate the volume. Finally, each volume should be rounded to the nearest whole cubic meter. Therefore, the artist needs to have the exact volume of concrete in cubic meters for each part of the sculpture.

https://brainly.com/question/34259963

#SPJ11

The perimeter of the garden is:

90 + 30√3 feet

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The perimeter of the garden is the sum of all the three sides of the garden.

Check the attached for the sketch of the garden.

Thus, we can say:

sin 60 = (30√3)/y

(√3)/2 =  (30√3)/y

1/2 =  30/y

y = 2 * 30

y = 60 feet

tan 30 = x/(30√3)

1/√3 = x/(30√3)

(√3) x = 30√3

x = 30 feet

perimeter = x + y + 30√3

perimeter = 30 + 60 + 30√3

perimeter = 90 + 30√3 feet

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

Answer:

x-intercept coordinates:  (9, 0)

y-intercept coordinates:  (0, 21)

Step-by-step explanation:

Put the equation in slope-intercept form, y = mx + b

3y = -7x + 63     divide both sides by 3

y = -7/3x + 21

y-intercept = b = 21

y-intercept coordinates:  (0, 21)

Find x intercept by setting y = 0 and solving for x:

0 = -7/3x + 21

7/3x = 21

x = 21(3/7) = 9

x-intercept coordinates:  (9, 0)

The percent of the beads that were blue is 40%. To determine the percent of beads that were blue, we need to first find the total number of blue beads and then divide that by the total number of beads.

The total number of blue beads is 20, which we can determine from the problem statement. The total number of beads is 50, which we can calculate by adding the number of red, blue, and green beads together:

10 + 20 + x = 50

where x represents the number of green beads

Solving for x, we get:

x = 20

Therefore, there were 20 green beads, and the total number of beads is 10 + 20 + 20 = 50.

Now we can calculate the percent of beads that were blue:

20/50 x 100% = 40%

Therefore, 40% of the beads were blue.

To learn more about percent click here, brainly.com/question/31323953

#SPJ11

To simplify the expression 3x^3 + 2y^3 + 6x^3 + 5y, we can combine like terms to get 9x^3 + 2y^3 + 5y.

The given expression has two terms with x cubed and two terms with y cubed. We can combine the coefficients of the x cubed terms and the coefficients of the y cubed terms to get:

3x^3 + 6x^3 = 9x^3

2y^3 = 2y^3

Therefore, the simplified expression so far is 9x^3 + 2y^3.

The last term in the given expression is 5y, which is not like the first two terms. Therefore, the expression cannot be simplified any further by combining like terms. The final simplified expression is 9x^3 + 2y^3 + 5y.

To learn more about expression  click here,brainly.com/question/28170201

#SPJ11

Answer:

$2,600

Step-by-step explanation:

To find the cost of the concrete foundation of a building in the shape of a rectangular prism, multiply its volume (in cubic yards) by the cost per cubic yard.

The volume of a rectangular prism is the product of its width, length and height.

[tex]\boxed{V=w \cdot l \cdot h}[/tex]

Given values:

Therefore, the volume of the concrete foundation is:

[tex]\begin{aligned}V&=13 \cdot 20 \cdot 2\\&=260 \cdot 2\\&=520\; \sf yd^3\end{aligned}[/tex]

Given the concrete costs $5 per cubic yard, multiply the volume by the cost to calculate the total cost of the concrete for the foundation is:

[tex]\begin{aligned}\textsf{Total cost}&=\sf Volume \cdot cost\\&=\sf 520 \; yd^3 \cdot \$5/yd^3\\&=\sf 520 \cdot \$5\\&= \sf \$2600\end{aligned}[/tex]

Therefore, the total cost of the concrete for the foundation is $2,600.

Answer:

Step-by-step explanation:

The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.

In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:

C(8,5) = 56

The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:

C(1,2) * C(7,3) = 35

Therefore, the probability of drawing the blue marble twice is:

P = 35/56 = 0.625.

The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

Learn more about Hypergeometric Probability Distribution:

https://brainly.com/question/15245410

#SPJ1

The features needed to describe a rotation are Center, Direction and Angle

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

The key features

From the key features, the terms that describe rotation are:

Read more about rotation at

https://brainly.com/question/10727565

#SPJ1

The value of x that makes the equation true is -8. The correct option is C.

To find the value of x that makes the equation true, follow these steps:
1. Write down the given equation: 2(x - 4) + 48 = -3x
2. Distribute the 2 to both terms inside the parentheses: 2x - 8 + 48 = -3x
3. Simplify the equation by combining like terms: 2x + 40 = -3x
4. Add 3x to both sides of the equation to isolate x terms on one side: 2x + 3x + 40 = -3x + 3x
5. Simplify further: 5x + 40 = 0
6. Subtract 40 from both sides to isolate the x term: 5x + 40 - 40 = 0 - 40
7. Simplify: 5x = -40
8. Divide both sides by 5 to solve for x: 5x / 5 = -40 / 5
9. Simplify: x = -8
The value of x that makes the equation true is -8 (Option C).

For more such questions on equation , Visit:

https://brainly.com/question/17145398

#SPJ11