in an apartment complex with 28 units, 19 of the renters keep a pet. what percentage does not keep a pet? 14.7% 32% 68% 62%

The conditional probability is solved and the tiles are chosen

Given data ,

A bucket contains 60 polygon tiles. Of the tiles, 12 are triangles, 15 are squares, 8 are pentagons, 10 are hexagons, 6 are heptagons, and the rest are octagons.

So , Total number of polygon tiles = 60

Number of triangles = 12

Number of squares = 15

Number of pentagons = 8

Number of hexagons = 10

Number of heptagons = 6

Number of octagons = 9

Now , probability of event 1: At least four sides, given that it's not a hexagon

P ( A ) = ( 15 + 8 + 6 + 9 ) / 60

P ( A ) = 0.6333

P ( A ) = 63.33 %

And , Probability: P(not a square | less than 7 sides) P ( B )

P ( B ) = ( 12 + 8 + 10 + 6 ) / 60

P ( B ) = 0.6

P ( B ) = 60 %

Hence , the probabilities are solved

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Answer:

If you're looking for the area of the figure, your answer would be 289.

Step-by-step explanation:

This is because the formula for the area of a rectangle is l x w, so you just multiply 17 x 17.

Hope this helped! :)

Answer: i belive that the answer is 289 because 17x17 is 289

Step-by-step explanation: Hope this helps have a nice day!!!!

Answer:

HP = 2

HJ = 2.5

HJ = 2.5

GK = √29

Step-by-step explanation:

I assume that HK and GJ are perpendicular, so triangles GPH, GPK, JPH, and JPK are right triangles.

Use the Pythagorean theorem.

a² + b² = c²

(GP)² + (HP)² = (GH)²

5² + (HP)² = (√29)²

25 + (HP)² = 29

(HP)² = 4

HP = 2

(HP)² + (PJ)² = (HJ)²

2² + (1.5)² = (HJ)²

4 + 2.25 = (HJ)²

(HJ)² = 6.25

HJ = 2.5

If GHJK is a kite, then KJ = HJ and GK = GH.

HJ = 2.5

GK = √29

Answer: No it is not up to code

Step-by-step explanation:

So we can use trig ratios to solve this:

tan theta = 3.5/40

.: theta = arctan(3.5/40)

theta is about 5

Since 5 > 4.8, these dimensions do not comply with regulation.

The number of possible outcomes is 36.

Given that a 6-sided die has been rolled twice we need to find the sample space has how many possible outcomes,

Therefore, in one roll there will be 6 outcomes, and when it is rolled twice it will be = 6 × 6 = 36

The sample space =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

There are 36 possibilities for (a,b).

This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b.

So, the total number of joint outcomes (a,b) is 6 times 6 which is 36. The set of all possible outcomes for (a,b) is called the sample space of this probability experiment.

Hence the number of possible outcomes is 36.

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The mean number of volcanic episodes on the island of Japan is 2.4 per year. This means that, on average, we can expect 2-3 volcanic episodes each year. However, in 2005 there were 5 volcanic episodes which were either eruptions or sizable seismic activity.

To predict the number of volcanic episodes in the next two years, we can use the Poisson distribution, which is a commonly used model for predicting the frequency of rare events. The Poisson distribution assumes that the number of events in a fixed period of time is independent and occurs at a constant rate.

Using this model, we can calculate the probability of having different numbers of volcanic episodes in the next two years. For example, the probability of having exactly 2 volcanic episodes in the next two years can be calculated using the formula:

P(X=2) = (e^-4.8 * 4.8^2) / 2!

Where e is the mathematical constant 2.71828, X is the number of volcanic episodes, and 4.8 is the expected number of episodes in two years (2.4 * 2). The result is approximately 0.168, or a 16.8% chance of having exactly 2 episodes in the next two years.

Similarly, we can calculate the probabilities of having more or fewer episodes using the same formula. This can be useful for predicting the likelihood of different scenarios and planning for potential hazards.

In conclusion, the appropriate model to use for predicting the number of volcanic episodes in the next two years is the Poisson distribution. This model assumes that the events are rare, independent, and occur at a constant rate. By using this model, we can calculate the probabilities of different scenarios and plan accordingly.

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The 10th term of the geometric sequence with a first term of 12 and a fourth term of 24 is 6,144.

To find the 10th term of a geometric sequence, we need to know the common ratio (r) of the sequence. We can find this by dividing the fourth term by the first term:
r = 24/12 = 2
Now that we know the common ratio, we can use the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
where a1 is the first term and n is the term we want to find. Plugging in the values we know:
a10 = 12 * 2^(10-1)
a10 = 12 * 2^9
a10 = 12 * 512
a10 = 6,144
Therefore, the 10th term of the geometric sequence with a first term of 12 and a fourth term of 24 is 6,144.
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Answer:

 22.42

Step-by-step explanation:

The final price is 212.09.  The original price is 189.67

Subtract the original price from the final price.

212.09

-189.67

---------------

 22.42

Answer:

$22.42

Step-by-step explanation:

To find the increased amount of the model you have to get the difference between the initial cost and the upgraded price.

Initial price = $189.67

Upgraded price = $212.09

Subtract the initial price from the upgraded price.

Increased amount = $212.09 - $189.67

                               = $22.42

the function f(x) = x^4 - 8x^2 has a relative minimum at x = 2 and x = -2.

To determine the values of x at which the function f(x) = x^4 - 8x^2 has a relative minimum, we need to find the critical points of the function and then analyze their nature using the second derivative test.

Step 1: Find the derivative of f(x):

f'(x) = 4x^3 - 16x

Step 2: Set the derivative equal to zero to find the critical points:

4x^3 - 16x = 0

Step 3: Factor out common terms and solve for x:

4x(x^2 - 4) = 0

Solving for x, we get:

x = 0 (critical point)

x^2 - 4 = 0

x^2 = 4

x = ±2 (critical points)

Step 4: Analyze the nature of the critical points using the second derivative test:

To apply the second derivative test, we need to find the second derivative of f(x):

f''(x) = 12x^2 - 16

Evaluate f''(x) at each critical point:

f''(0) = 12(0)^2 - 16 = -16

f''(2) = 12(2)^2 - 16 = 44

f''(-2) = 12(-2)^2 - 16 = 44

The second derivative test states that if f''(x) > 0, then the function has a relative minimum at that point. If f''(x) < 0, then the function has a relative maximum.

From the calculations above, we find that f''(2) = 44 > 0 and f''(-2) = 44 > 0. Thus, both x = 2 and x = -2 correspond to relative minimum points.

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All the conic section are,

1) Parabola

2) Hyperbola

3) Ellipse

4) Circle

We have to given that;

We have to find the conic section for each condition.

1) when a plane crosses the generating line at the intersection of a single cone from a double-napped cone.

Then, We get Parabola is formed.

2) We know when a plane intersects on one nape of a double napped cone and then the cross section that is obtained is either a parabola, ellipse or a circle.

But if it passes through both the napes of a double napped cone then the cross-section obtained is a hyperbola.

Hence, the answer is Hyperbola.

3) When, A plane intersects at one cone of a double-napped cone for that the plane is neither parallel to the generating line nor perpendicular to the axis,

Then, Ellipse is formed.

4) When plane intersect at one cone of a double napped cone such that the plane is perpendicular for the generating line.

Then, We get Circle is formed.

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To determine the sample size needed for a desired margin of error, we need additional information such as the population size and the desired level of confidence. Without this information, it is not possible to calculate the exact sample size.

The sample size calculation involves considering factors such as the variability of the population, the desired level of confidence, and the margin of error. These factors help in determining the appropriate sample size to achieve the desired precision in estimating population parameters.

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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06  ----------- g

Answer: ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle.

Step-by-step explanation:

ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle.

The most fun game at the moment seems to be playing a videogame.

If a student is selected randomly from the 59 students who participated in the survey, the probability of choosing a student playing a videogame is 35.6%.

Probability refers to the chance or likelihood of an expected event, outcome, or success occurring given the possibility of many events, outcomes, or successes.

Probability values are stated as decimals, fractions, or percentages when they lie between 0 and 1.

The number of students going to a party = 6

The number of students playing a videogame = 21

The number of students taking a nap = 11

The number of students drawing a picture = 8

The number of students reading a good book = 7

The number of students playing sports = 6

The total number of student participants in the survey = 59

The probability of choosing a student playing a videogame = 35.6% (21 ÷ 59 × 100)

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Based on the information, we can infer that the surface area of the rectangular prism is 485.5 in²

To calculate the surface area of the rectangular prism we must calculate the area of all the faces of the prism:

Now we must multiply each result by 2 because each of the faces is repeated 2 times.

Finally, we must add the values to find the total surface area of the rectangular prism:

Note: This question is incomplete. Here is the complete information.

Attached Image

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Answer:

See explanation below.

the numbers are 27 and 36

or

the numbers are 4 and 13

Step-by-step explanation:

Let the numbers be x and y.

"the difference between two positive numbers is 9"

y - x = 9

One of your statements is:

"one number is three times less than four times the other"

Are you sure the first word times belongs there?

If so, then the second equation below is correct.

y = 4x/3

y = x + 9

y = 4x/3

4x/3 = x + 9

4x = 3x + 27

x = 27

y = x + 9

y = 27 + 9

y = 36

Answer: the numbers are 27 and 36

If the second statement is really:

"one number is three less than four times the other number"

without the first word "times"

then the second equation is

y = 4x - 3

The equations are:

y - x = 9

y = 4x - 3

4x - 3 - x = 9

3x = 12

x = 4

y - 4 = 9

y = 13

Answer: the numbers are 4 and 13

Answer:

53

Step-by-step explanation:

Answer:

Step-by-step explanation:

he had 39 sweets

then he receive 39*2[twice as much as 39] + 39 [the sweet he had before he got more sweet]

39*2=78+39=117-25[the number of sweet he had taken out of the 117 sweets he had before]

117-25=92

Billy has 92 sweets left

The approximate probability that the 40 players have a mean salary of at most 4 million dollars is approximately 0.9985 or 99.85%.

Given that the sample size is 40, we can use the Central Limit Theorem to approximate the normal distribution of sample means. The mean of the sample means will be the same as the population mean, which is 3.3 million dollars. The standard deviation of the sample means (also known as the standard error) can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, it will be 1.5 million dollars divided by the square root of 40.

Let's calculate the standard error:

Standard Error = 1.5 million dollars / sqrt(40) ≈ 0.237 million dollars.

Now, we want to find the probability that the 40 players have a mean salary of at most 4 million dollars. We can convert this to a standard normal distribution by calculating the z-score:

Z = (X - μ) / SE

where X is the value we want to find the probability for (4 million dollars), μ is the population mean (3.3 million dollars), and SE is the standard error (0.237 million dollars).

Z = (4 - 3.3) / 0.237 ≈ 2.95

To find the probability corresponding to this z-score, we can refer to a standard normal distribution table or use statistical software. Assuming a standard normal distribution, the approximate probability can be found to be about 0.9985.

Therefore, the approximate probability that the 40 players have a mean salary of at most 4 million dollars is approximately 0.9985 or 99.85%.

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in triangle ABC, AB is approximately 26.83 inches and BC is approximately 35.78 inches.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right triangles.

In triangle ABC, let's denote the length of AB as b and the length of BC as a.

Using the Pythagorean theorem on triangles ABN and BCN, we can find that:

AN² + BN² = AB²

BN² + CN² = BC²

Plugging in the given values, we get:

24² + 18² = b²

18² + (40 - b)² = a²

Simplifying, we get:

b² = 720

a² = 4b² - 1600

a² = 4(720) - 1600

a² = 1280

Taking the square root of both sides, we get:

b = √{720} = 26.83

a = √{1280} = 35.78$

Therefore, in triangle ABC, AB is approximately 26.83 inches and BC is approximately 35.78 inches.

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Answer:

0.5x(x + 2) = 24

x² + 2x - 48 = 0

x² + (x + 2)² = 100

Step-by-step explanation:

A = bh/2

A = x(x + 2)/2 = 24

0.5x(x + 2) = 24

0.5x² + x = 24

x² + 2x = 48

x² + 2x - 48 = 0

x² + (x + 2)² = 10²

x² + (x + 2)² = 100

Possible number(s) of positive real zeros are 1 or 0 and Possible number(s) of negative real zeros: 2 or any even number

To determine the possible number of positive and negative real zeros of the polynomial q(x) = -7x^3 + 9x^2 - 8x + 2, we can use Descartes' rule of signs.

(a) Possible number(s) of positive real zeros:

For the polynomial q(x), we count the number of sign changes in the coefficients when we write them in descending order:

-7x^3 + 9x^2 - 8x + 2

There is only one sign change, from -8x to +2. Thus, there is exactly 1 positive real zero or none at all.

Possible number(s) of negative real zeros:

To determine the possible number of negative real zeros, we substitute -x into the polynomial:

-7(-x)^3 + 9(-x)^2 - 8(-x) + 2

Simplifying the expression:

7x^3 + 9x^2 + 8x + 2

Again, we count the number of sign changes in the coefficients:

7x^3 + 9x^2 + 8x + 2

There are two sign changes, from 7x^3 to 9x^2 and from 9x^2 to 8x. Thus, there are either 2 negative real zeros or any even number of negative real zeros.

In summary:

(a) Possible number(s) of positive real zeros: 1 or 0

(b) Possible number(s) of negative real zeros: 2 or any even number

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Answer:

S = 4π(7^2) = 196π square inches

= about 615.75 square inches

Answer:

(see image for graph)

We get the following sine model for the vertical displacement y of a point on the blade at time t: y = 7.5 sin(2π(3t - 1)) + 40. This model gives the height above the ground of a point on the blade at time t, measured in minutes.

Assuming that the blades move in a circular motion, the vertical displacement of a point on a blade can be modeled using a sine function.

Let's start by finding the period of the function, which is the time it takes for the blade to complete one full rotation. Since the blade completes 3 rotations every minute, the period is:

T = 1/3 minutes

Next, we need to find the amplitude of the function, which is half the distance between the highest and lowest points of the blade's path. Since the blade is 15 feet long, the amplitude is:

A = 15/2 = 7.5 feet

Finally, we need to find the vertical displacement of the blade at time t, measured in minutes. Let's assume that t=0 corresponds to a blade pointing directly upwards. As the blade rotates, it moves in a circle with radius 15 feet, centered at a height of 40 feet above the ground. The vertical displacement of the blade is the y-coordinate of the point on the circle at angle θ, where θ is given by:

θ = 2π(3t - 1) (in radians)

This formula gives the angle in radians that the blade has rotated through at time t, taking into account the fact that the blade starts at a random angle at t=0. (The "-1" term ensures that the blade starts at the top at t=0.)

Putting it all together, we get the following sine model for the vertical displacement y of a point on the blade at time t:

y = 7.5 sin(2π(3t - 1)) + 40

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Step-by-step explanation:

I assume this is   5^(2n+3)   though it is not actually posted this way

5^(2n + 3 ) = 5^2n * 5^3

                   = (5^n)^2 * 5^3      we know 5^n = 8

                       (8)^2 + 5^3  = 64 + 125 = 189

The employee's hourly wage, number of hours worked, tax rates, and any Deductions or contributions

To determine the current gross pay, social security tax, year-to-date social security tax, Medicare tax for this pay period, year-to-date Medicare tax, union dues for this pay period, year-to-date health insurance contribution, state tax rate, and federal tax rate, we would need additional information such as the employee's hourly wage, number of hours worked, tax rates, and any deductions or contributions.

The current gross pay can be calculated by multiplying the hourly wage by the number of hours worked. The social security tax and Medicare tax can be calculated based on the employee's gross pay and the respective tax rates set by the government. The year-to-date social security tax and Medicare tax can be calculated by summing up the taxes deducted from each pay period so far in the year.

The union dues and health insurance contributions would depend on the specific terms of the employee's union agreement and health insurance plan. These deductions are typically a fixed amount or a percentage of the employee's gross pay.

The state tax rate and federal tax rate would also vary depending on the employee's income level and the tax brackets set by the state and federal governments. These rates are applied to the employee's taxable income after deducting any allowances or exemptions.

Without specific information about the employee's wages, hours worked, tax rates, deductions, and contributions, it is not possible to provide accurate answers to the questions mentioned. It is recommended to refer to the employee's pay stub or consult with the employer's payroll department for the precise details regarding the mentioned variables.

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To improve the fairness of a passenger survey on a railway line, it would be ideal to over-sample data from groups that are less likely to be represented in the regular ridership during peak hours of 7:00 am to 5:00 pm. One such group could be passengers who use the railway line during off-peak hours, such as early mornings or late evenings.

Over-sampling these groups will provide a more comprehensive picture of the ridership patterns and preferences of all passengers, rather than just those who use the railway line during peak hours. This approach will lead to a more accurate assessment of the passenger experience and needs and, therefore, allow for better decision-making when it comes to improving services and amenities.

Other groups that could be over-sampled include passengers with disabilities, seniors, and students who may have different transportation needs and experiences compared to the general ridership. By considering the unique experiences and needs of all passengers, railway companies can work towards creating a more inclusive and accessible transportation system.

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Answer:

Sure. Here are the steps on how to solve for the dimensions of the rectangular field that will produce the greatest area:

Let x and y be the width and length of the rectangular field, respectively.

The perimeter of the rectangular field is 2x + 4y = 19300 feet.

The area of the rectangular field is xy.

We want to maximize the area, so we need to minimize the perimeter.

We can minimize the perimeter by setting x = y.

Plugging in x = y into the equation 2x + 4y = 19300, we get 4x = 19300.

Solving for x, we get x = 4825 feet.

Since x = y, we know that y = 4825 feet.

Therefore, the dimensions of the rectangular field that will produce the greatest area are 4825 feet by 4825 feet.

To round off your answers to two decimal places, you can use the following formula:

rounded_value = (value * 100) // 100

In this case, the rounded values for x and y are 4825.00 and 4825.00, respectively.

Step-by-step explanation:

The problem is about maximizing the area of a rectangular field given a fixed amount of fencing. Length and width of the rectangle are assumed as x and y, respectively. The total fencing equation is x + 5y = 19300 and the area equation is A=xy. Substituting to get equation in terms of one variable, it turns into a calculus problem to find the dimensions that maximize area.

This particular problem solution requires use of calculus to maximize the total area of a rectangular field, given a fixed fencing limit. We need to maximize the rectangle area with the total fence length being 19300 ft. Here are the steps to create a mathematical model for this problem:

This is a calculus problem where we find the maximum point using the derivative of the area equation. However, the exact dimensions would need further calculations. It's important to note that this task requires comprehensive knowledge of calculus and algebra.

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Answer:

√89 / 8

Step-by-step explanation:

r = hypotenuse = √(5² + 8²) = √89

csc θ = 1/sin θ

sin θ = opp/hyp = height / √89 = 8/ √89

csc θ = hyp / opp = 1 / (8/ √89) = √89 / 8