a square garden has an area of 144 square feet. the owner wants to put ups deer fence around the garden that costs $3.50 per linear foot. how much will it coat to put up a whole fence around the garden?

Answer: 2 hours 45 minutes

Step-by-step explanation: Your welcome

tStep-by-step explanation:

We must write a sine equation for the height h of the point w from the ground.

Using the data of the problem, we make the following diagram:

From the diagram, we wee see that the height h of point W from the ground is:

Where:

• h_0 = 6ft is the height from the ground to the center of the windmill,

• y is the height of point W to the center of the windmill.

We see that height y is the opposite cathetus to angle θ, using trigonometry, we see that:

Where r is the radius of the blade.

Replacing the equation of y in the equation of h, we get:

We have found the equation for the height of point W as a function of the angle θ.

When point W is in the position of the diagram, the angle θ is equal to zero, so we have:

• The equation for the height of point W as a function of the angle θ is:

• When W is in the position of the diagram, we have θ = 0, so its height is:

Answer:

.

Step-by-step explanation:

Answer:

73.13 m^2

Step-by-step explanation:

1/2(bh)

Pi(d)

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Step-by-step explanation:

it is the vertical of 5 and 6 aww you can do that

Answer:

The cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

Step-by-step explanation:

cost of plain wrapping paper  = x

cost of shiny wrapping paper = y

so the equation will be:-

5x + 3y = 57

11x + 3y = 93

by subtracting 3y from the equation we get :-

6x = 36

x = 6

5(6) + 3y = 57

30 +3y = 57

3y = 27

y = 9

hence, the cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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If the BLS employer cost survey uses a sample to establish the average wage of receptionists and the distribution of receptionist wages is normally distributed with a mean of $10.38/hour and a standard deviation of $2.05, then the probability that the wages for a sample of 20 receptionists exceed $11/hour is 38.16%

To find the probability, follow these steps:

So, the probability is approximately 0.3816 or 38.16%.

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The regression equation of the formula regarding tuition will be given as y = 34000 - 2300x.

Regression method of writing an equation is used to show relation between two variables. The two variables include an independent variable and a dependent variable. The dependent variable is related to the independent variable and their relation and changes can be shown with the help of regression model. According to the question

the charge for tuition = $32000

Charge deduced from tuition per year = $2300

So we assume the tuition cost as y and the number of years as x.

The regression equation will be

y = 34000 - 2300x

where y is the tuition cost and x is the number of years in school and y is dependent variable and x is independent variable.

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Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

Answer:

a is 5

b is 35

y=5x+35

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According to the distance, it will take the jet 1 hour to overtake the small plane.

Let's first calculate the distance traveled by the small plane in the time it takes for the jet to overtake it. Since the small plane is flying for an extra 30 minutes, its travel time is "t + 0.5" hours. Therefore, the distance traveled by the small plane is:

Distance of small plane = Speed of small plane x Time of small plane

Distance of small plane = 240 x (t + 0.5)

Now, let's calculate the distance traveled by the jet in "t" hours:

Distance of jet = Speed of jet x Time of jet

Distance of jet = 360 x t

Since both planes are at the same point at the time of overtaking, we can set the distances traveled by both planes equal to each other:

240 x (t + 0.5) = 360 x t

We can solve for "t" using algebra:

240t + 120 = 360t

120 = 120t

t = 1

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The equation of circles that have a diameter of 12 units and a center that lies on the y-axis is (x-0)² + (y-3)² = 6²

The standard form for finding the equation of a circle is expressed as;

(x-a)² + (y-b)²=r²

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36

Hence, the equation of circles that have a diameter of 12 units and a center that lies on the y-axis is (x-0)² + (y-3)² = 6²

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The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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The values of the variance and standard deviation of data set 8, 9, 8, 6, and 4 is Variance = 3.2; Standard deviation = 1.79.

To calculate the variance and standard deviation, we first need to find the mean of the data set. The mean is obtained by summing all the values and dividing by the total number of values. For the given data set (8, 9, 8, 6, 4), the mean is (8 + 9 + 8 + 6 + 4) / 5 = 7.

Next, we calculate the variance by finding the average of the squared differences between each value and the mean. The squared differences are (1^2, 2^2, 1^2, -1^2, -3^2) = (1, 4, 1, 1, 9). The average of these squared differences is (1 + 4 + 1 + 1 + 9) / 5 = 3.2.

Finally, we take the square root of the variance to find the standard deviation. The square root of 3.2 is approximately 1.79. Therefore, the correct values are Variance = 3.2 and Standard deviation = 1.79.

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Total amount of money invested = $20000

Interest on the $20000 investment = (11/100) x 20000

Interest on the $20000 investment = $2200

Let the amount invested with 8% interest be m

Interest on the 8% investment = (8/100) x m

Interest on the 8% investment = 0.08m

Let the amount invested with 12% interest be n

Interest on the 12% investment = (12/100) x n

Interest on the 12% investment = 0.12n

The total amount invested is $20000

m + n = 20000.............(1)

Total interest is $2200

0.08m + 0.12n = 2200........(2)

Make m the subject of the formula in equation (1)

m = 20000 - n.............(3)

Substitute equation (3) into equation (2)

0.08(20000 - n) + 0.12n = 2200

1600 - 0.08n + 0.12n = 2200

0.04n = 2200 - 1600

0.04n = 600

n = 600/0.04

n = 15000

Substitute n = 15000 into equation (3)

m = 20000 - 15000

m = 5000

The amount Paul invested at 8% interest i

TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

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Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

Answer:

Uhhh

Step-by-step explanation:

Answer:

9/40

Step-by-step explanation:

Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40

Decision Analysis is a mathematical method for making decisions in uncertain environment.

What is environment ?

Environment refers to the surrounding conditions, resources and factors that can have an impact on an organism, community, or system. This can include physical factors such as weather, terrain, and pollution, as well as biological factors such as other living organisms, and social or economic factors such as culture, laws and economic conditions.

The process of Decision Analysis can be broken down into several steps:

1) Define the decision problem: Clearly state the problem and the decision maker's objectives.

2) Identify the decision alternatives: List all the feasible options available to the decision maker.

3) Specify the probability distribution of the uncertain parameters: Assign probabilities to the possible outcomes of the uncertain parameters.

4) Evaluate the expected value or expected loss for each alternative: Compute the expected value or expected loss for each alternative, using the probability distribution of the uncertain parameters.

5) Choose the alternative with the highest expected value or the lowest expected loss: Select the alternative that maximizes the expected value or minimizes the expected loss.

6) Sensitivity analysis: Check the robustness of the decision by studying the effect of small changes in the model's assumptions.

Decision Analysis is a mathematical method for making decisions in uncertain environment.

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The height of the cube brick is 7 units and the volume is equal to 343 unit³

The volume of a cube is defined as the total number of cubic units occupied by the cube. The formula is given as V = a³ where "a" is the length of edge or sides.

The length of an edge for the cube brick is 7 units which implies the height represented by h is also 7 units and the volume is calculated as follows:

volume of cube brick = 7 units × 7 units × 7 units

volume of cube brick = 343 units ³

Therefore, the height of the cube brick is 7 units and the volume is equal to 343 unit³

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The solution is: :the missing angle measure are:

x = 62°, y = 103°

Here, we have,

Supplementary Angles

Two angles are called supplementary when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

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complete question:

The following angles are supplementary find the missing angle measure

Answer:

(4×12)+(5×12)

48+60

108 eggs total

Answer:

108

Step-by-step explanation:

Well considering the fact that the question is asking how many eggs did Clay collect in total, we can just multiply 4*12 (12 being how many eggs being in the container and 4 being the amount of containers) and multiply 5*12 to get a total of 108 eggs. Or you could just add both the amount of containers and multiply it by 12. Hope this helped :)

Answer:

-8 is the answer

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

-8

Step-by-step explanation:

Make a reciprocal of -1/4. Then multiply 2 by -4.

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Answer:

7.14

Step-by-step explanation:

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

The 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

To determine a 99% confidence interval estimate for the difference between the percentages of elderly men and women who were married, we can use the formula for the confidence interval of two proportions:

CI = (p1 - p2) ± Z * √[(p1 * (1-p1) / n1) + (p2 * (1-p2) / n2)]

Where p1 and p2 are the proportions of married elderly men and women, n1 and n2 are the sample sizes, and Z is the Z-score for a 99% confidence level (which is 2.576).

First, convert the percentages to proportions:
p1 = 0.65 (65% married elderly men)
p2 = 0.48 (48% married elderly women)
n1 = 300 (sample size of elderly men)
n2 = 400 (sample size of elderly women)

Now, plug the values into the formula:

CI = (0.65 - 0.48) ± 2.576 * √[((0.65 * 0.35) / 300) + ((0.48 * 0.52) / 400)]
CI = 0.17 ± 2.576 * √[(0.2275 / 300) + (0.2496 / 400)]
CI = 0.17 ± 2.576 * √(0.00075833 + 0.000624)
CI = 0.17 ± 2.576 * √(0.00138233)
CI = 0.17 ± 2.576 * 0.0372
CI = 0.17 ± 0.0959

Thus, the 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

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