Bad gums may mean a bad heart. Researchers discovered that 77% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 30% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 14% probability. If someone has periodontal disease, what is the probability that he or she will have a heart attack?

Answer:

D, 245.0 in^2

Step-by-step explanation:

Formula for the surface area of a cylinder: A=2πrh+2πr^2

A = 2πrh + 2πr^2

A = 2π(3)(10) + 2π(3)^2

A = 60π + 18π  

A = 245.044

Answer:

???/

Step-by-step explanation:

Answer:

tu aimes les hommes

Step-by-step explanation:

Answer: hola soy nuevo

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

5×9=45

8×5=40

add it

85

Answer:

For interquartile range, you will need to find the range of the boxes, and not the line since for the lower quartile is 5.5 and the higher qaurtile is 7, the interquatile range is 1.5

Step-by-step explanation:

The probability that none of 200 women using the pill will become pregnant is found to be 0.002.

Given: Assume a birth control pill has a 97% success rate in avoiding pregnancies.

Probability that none of 200 women using the pill will become pregnant is given as

= 0.97(200)

=0.0023

=0.002

Therefore, probability that none of 200 women using the pill will become pregnant is found to be 0.002.

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There are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

There are two different types of license plates that can be made: one with three letters followed by three digits and one with four letters followed by two digits. To find the total number of different license plates that can be made, we need to calculate the number of possibilities for each type of license plate and then add them together.

For the first type of license plate (three letters followed by three digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 10 × 10 × 10 = 17,576,000
For the second type of license plate (four letters followed by two digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 26 × 10 × 10 = 45,697,600

Adding these two numbers together gives us the total number of different license plates that can be made:
17,576,000 + 45,697,600 = 63,273,600
Therefore, there are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

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The line of reflection are across the y-axis.

Given data is,

Let the polygon be represented as VWXYZ

Now , the coordinates of the polygon is given as

The coordinate of V =  ( -8 , 2 )

The coordinate of W =  ( -8 , 0)

The coordinate of X =  ( -5 , -7 )

The coordinate of Y =  ( - 2 , 0 )

The coordinate of Z =  ( - 2 , 2 )

Now , the translated polygon is having the coordinates as

The coordinate of V' =  ( -8 , 8 )

The coordinate of W =  ( -8 , 6)

The coordinate of X =  ( -5 , 1 )

The coordinate of Y =  ( - 2 , -6 )

The coordinate of Z =  ( - 2 , -8 )

Clearly, x coordinate will be same but y coordinate will be change.

Hence, The line of reflection are across the y-axis.

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Answer: y = -3

Step-by-step explanation:

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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∑ \(1/n^2\) b) converges, we can conclude that the given series also converges.Therefore, the answer is (b) converges.

To apply the limit comparison test, we need to choose a series that we already know converges or diverges, and then compare its limit with the limit of the given series.

Let's choose the series ∑ \(1/n^2\)with p=2, which is a well-known convergent series. Then, we can take the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the chosen series:

lim n→∞ (n/√\((n^5+6)) / (1/n^2)\)

= lim n→∞ \((n^3\) / √(\(n^5\)+6))

= lim n→∞ \((n^3 / n^(5/2))\)

= lim n→∞ \((1 / n^{(1/2))\)

= 0

Since the limit is finite and non-zero, we can conclude that the given series has the same convergence behavior as the series ∑\(1/n^2\). Since ∑ \(1/n^2\) converges, we can conclude that the given series also converges.

Therefore, the answer is (b) converges.

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Answer:

It is the total cost of housing and plane tickets for four years.

Step-by-step explanation:

Mark's costs for tuition, technology fee, and books are all per semester, s. ($2,600 + $150 + $310)s = $,060s

The cost for housing and plane tickets are a once a year cost. Mark pays these amounts once a year for four years.4($5,600 + $289) = $23,556

Therefore, the constant in the expression is $23,556, and it is the total cost for housing and plane tickets for four years.

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

20x+7=10

20x=10-7

20x=3

x=3/20

x=0.15

Option c since the equation shifts 2 units vertically up compared to parent square root function

Answer:

didn' t understand ....

Step-by-step explanation:

The price is 165 for all the volume of cylinder

So price divided by each cm^2 of the volume 165/0.75 = 220

220 =pi* r^2 * h = 3.14 *r^2 *100

Solving for r =0.83

Please Brainlist me

Answer:

m=−37/3

Step-by-step explanation:

Answer:

with what but make me brainllest

Step-by-step explanation:

Answer:

Fresh water is evenly distributed throughout the earth.

Step-by-step explanation:

Freshwater exists on Earth's surface in lakes, rivers, and ice, as well as below the surface as groundwater.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

0.6 or should be anyway.......

hope this helps you

a) The set {(x, x): x is a real number} with the standard operations is a vector space.

b) The set {(x, x): x is a real number} with the standard operations is not a vector space.

c) The set of all 2 x 2 matrices of the form is a vector space with the standard operations.

d) The set {(x, y): x ≥ 0, y is a real number} with the standard operations in R2 is not a vector space.

e) The set of all 2 x 2 singular matrices with the standard operations is not a vector space.

a) The set {(x, x): x is a real number} with the standard operations is a vector space. It satisfies all the properties of a vector space: closure under addition and scalar multiplication, associativity, existence of additive and multiplicative identity elements, the existence of additive inverses, and distributivity.

b) The set {(x, x): x is a real number} with the standard operations is not a vector space. While it is closed under addition and scalar multiplication, it fails to satisfy the existence of additive inverses. For example, the vector (1, 1) does not have an additive inverse within the set, as there is no vector (x, x) such that (1, 1) + (x, x) = (0, 0).

c) The set of all 2 x 2 matrices of the form is a vector space with the standard operations. It satisfies all the properties of a vector space, including closure under addition and scalar multiplication, associativity, existence of additive and multiplicative identity elements, existence of additive inverses, and distributivity.

d) The set {(x, y): x ≥ 0, y is a real number} with the standard operations in R2 is not a vector space. It fails to satisfy closure under addition, as adding two vectors in the set may result in a vector with a negative x-component, violating the condition x ≥ 0.

e) The set of all 2 x 2 singular matrices with the standard operations is not a vector space. It fails to satisfy closure under scalar multiplication, as multiplying a singular matrix by a scalar may result in a non-singular matrix, violating the condition of remaining within the set.

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To calculate the volume of a rectangular box, you multiply the lengths of its sides.

In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:

Volume = Length × Width × Height

Volume = 7 inches × 9 inches × 13 inches

Volume = 819 cubic inches

So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.

In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.

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to estimate the true mean cost of a large plain pizza with a desired margin of error of $0.50 and a 95% confidence level, the sample size should be at least 62. Keep in mind that this calculation assumes a conservative estimate of the population standard deviation. Adjustments to the sample size might be necessary based on more accurate estimates or actual data.

To determine the sample size required to achieve a specific level of accuracy (margin of error) for estimating the true mean cost of a large plain pizza, we need to consider the desired confidence level and the variability of the population.

The formula to calculate the sample size for estimating the mean with a specified margin of error is:

n = (Z * σ / E)^2

Where:

n is the required sample size,

Z is the z-score corresponding to the desired confidence level,

σ is the standard deviation of the population, and

E is the desired margin of error.

Since the standard deviation of the population is not known, we typically use a conservative estimate by assuming the largest possible value. Alternatively, if there is some prior information about the population, it can be used to estimate the standard deviation.

Let's assume the desired confidence level is 95% (which corresponds to a z-score of approximately 1.96, considering a large enough sample size). Additionally, let's say the owner wants the margin of error (E) to be $0.50.

To calculate the required sample size, we need to estimate the standard deviation of the population (σ). If no prior information is available, a common approach is to use a pilot study or historical data to estimate the standard deviation. However, without this information, we can't determine the exact sample size.

In practice, it's recommended to use a larger sample size to ensure accuracy. Let's assume a conservative estimate of the population standard deviation, such as $2.00.

Using the formula:

n = (1.96 * 2.00 / 0.50)^2

n = 7.84^2

n ≈ 61.49

Since we can't have a fractional sample size, we round up to the nearest whole number:

n = 62

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The multiplication model represented by the image is given as follows:

12(4 x 10) + (3 x 10) + (6 x 10) + 18.

A multiplication operation is equivalent to consecutive additions.

For the green squares, the following addition is obtained:

10 + 10 + 10 + 10 + 6.

(which is the number of squares painted green).

Considering a multiplication with consecutive additions, it is written as follows:

4 x 10 + 6.

For the red squares, the expression is:

4 + 4 x 10 + 2 = 4 x 10 + 6.

For the blue squares, the expression is:

8 + 3 x 10 + 8

3 x 10 + 16

For the white squares, the expression is:

2 + 6 x 10

Hence the total model is calculated as follows:

4 x 10 + 6 + 4 x 10 + 6 + 3 x 10 + 16 + 2 + 6 x 10

(4 x 10)(6 + 6) + (3 x 10) + (6 x 10) + 18.

12(4 x 10) + (3 x 10) + (6 x 10) + 18.

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1 inch is equal to approximately 2.54 centimeters. Inches and centimeters are units of measurement for length, with inches being part of the imperial system and centimeters part of the metric system.

Inches and centimeters are units of measurement for length. Inches are part of the imperial system of units and are widely used in countries such as the United States. Centimeters, on the other hand, are part of the metric system of units and are widely used around the world, particularly in scientific and medical applications.

To convert inches to centimeters, you can use the formula: in * 2.54 = cm. In this case, 1 inch is equal to approximately 2.54 centimeters. When converting between units of measurement, it is important to be precise and accurate to ensure that you obtain accurate results. In many cases, you can use conversion tools such as calculators or charts to convert between units of measurement.

However, it's also important to understand the basic conversion formulas so that you can perform the calculations manually if necessary.

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Answer:

A=6

B=41

c=42

Step-by-step explanation:

The scale that she can use for the vertical axis to maximize the difference in the heights of the bars is option c, 10-50.

To maximize the difference in the heights of the bars, she needs to choose a scale that covers the range of values represented by the data while minimizing the unused space on the vertical axis.

Option a, 0-50, would cover the entire range of values but may result in a lot of unused space if the data values are relatively small.

Option b, 0-40, would restrict the range of values and may not fully represent the differences between the heights of the bars.

Option c, 10-50, is a suitable choice as it covers the range of values and allows for differentiation between the heights of the bars. It eliminates unnecessary empty space below 10, focusing on the relevant range of data.

Option d and e, 25-40, restrict the range even further and may not adequately capture the differences between the heights of the bars.

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