Lyme disease is an infection caused by bacteria. A test for Lyme disease may be affected by other medications and medical conditions. The testing results are summarized in the table.


Tested positive Tested negative Row Totals
Has Lyme disease 53% 17% 70%
Does not have Lyme disease 12% 18% 30%
Column Totals 65% 35% 100%


What percentage of all patients who took the test had a false negative result?
12%
17%
18%
35%

Therefore, m/XYC is equal to 82°. Therefore,  m/CDA is 91°. Therefore, m/CDA is 138°.

A trapezoid, also known as a trapezium, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.

Here,

To solve these problems, we will use some properties of isosceles trapezoids and their midsegments. Here are the solutions to each problem:

1. Since ABCD is an isosceles trapezoid, we have m/DAB = m/BCA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, m/XYC = m/BCA = m/DAB = 82°.

2. Since ABCD is an isosceles trapezoid, we have m/DCB = m/ABC. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/DCB + m/CDA + m/DAB + m/ABC = 360°. Substituting m/ABC = m/DCB, we get 2m/DCB + m/CDA + m/DAB = 255°. Now, using the fact that m/DAB = 82°, we can solve for m/DCB: 2(82°) + m/CDA + 82° = 255°, which gives m/CDA = 91°.

3. Since ABCD is an isosceles trapezoid, we have m/BAD = m/CDA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/BAD + m/CDA + m/DAB + m/ABC = 360°. Substituting m/BAD = m/CDA, we get 2m/BAD + m/DAB + m/ABC = 180°. Now, using the fact that m/BAD = 159°, we can solve for m/CDA: 2(159°) + m/DAB + m/ABC = 180°, which gives m/CDA = 138°.

4. Since ABCD is an isosceles trapezoid, we have m/ABC = m/CDA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/BAD + m/CDA + m/DAB + m/ABC = 360°. Substituting m/ABC = m/CDA, we get m/BAD + 2m/ABC + m/DAB = 250°. Now, using the fact that m/ABC = 110°, we can solve for m/DAB: m/BAD + 2(110°) + m/DAB = 250°, which gives m/DAB = 30°.

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Answer:

It should be 10.

Step-by-step explanation:

There are 10 two thirds in three and one-third.

There are 5 two-thirds are present in three and one-third.

Two-thirds means,  \(=\frac{2}{3}\)

Three and one-third means that, = \(3\frac{1}{3}=\frac{10}{3}\)

Number of two-thirds are present in three and one-third is equal to,

                            \(=\frac{10}{3}\div\frac{2}{3}\\\\=\frac{10}{3}*\frac{3}{2}\\\\=5\)

There are 5 two-thirds are present in three and one-third.

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The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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Answer: The smallest number to be divided by 768 is 768. The number obtained will be one and the square root of 1 is 1.

Step-by-step explanation:

We need to find a number that when being divided by 768 we will get a perfect square number. First list the perfect square numbers ,which starts from 1,4,9,16,25,36,49,64.....  

In these perfect squares  the least of them is 1, meaning that we  need to find a number that when divided  by 768 we will get 1. We know that when a number is divided by the same number we get 1. Meaning that the smallest number to be divided by 768 to get 1  is 768 itself.  

The number obtained is 1 .

The square root of one is 1.

2) x = 4

4) x = sqrt(106) = 10.3

Answer:

What's your question

Step-by-step explanation:

How many customers in each tower

Answer

x= -3  -> y= -2

x= -1 -> y= -4

x= 3 -> y= -2

Step-by-step explanation:

The lines around the x in the equation is the absolute value symbol.

If you put a positive in, it stays positive.

If you put a negative in, it becomes positive.

Then solve normally.

Good luck!

Answer:

p = -4, q = -3

Step-by-step explanation:

y = -2x +4  ... (1)   perpendicular bisector of AB, slope = -2

slope of AB = 1/2

Line AB pass (8,3): (y-3) / (x-8) = 1/2

AB equation: y-3 = 1/2(x-8)      y = 1/2x - 1  ... (2)

(2)-(1): 5/2 x = 5      x = 2

y = 0       (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)

(8+p)/2 = 2

p = -4

(3+q)/2 = 0

q = -3

The values of p and q from the perpendicular bisector are;

p = -4 and q = -3

We are given coordinates of A and B as;

A(8, 3) and B(p, q)

Bisector of AB is y = -2x + 4

Thus, from y = mx + c, Slope of the bisector is -2.

Since the bisector is perpendicular to AB, then slope of AB = -(1/-2) = 1/2

Thus, slope of the line from point A to the point of the bisector on AB is;

(y - 3)/(x - 8) = 1/2

y - 3 = ¹/₂(x - 8)

y - 3 = ¹/₂x - 4

y = ¹/₂x - 1

Putting ¹/₂x - 1 for y in the bisector equation gives;

¹/₂x - 1 = -2x + 4

2x + ¹/₂x = 4 + 1

2.5x = 5

x = 5/2.5

x = 2

Thus;

y = -2(2) + 4

y = 0

Thus, the coordinate of the midpoint of AB is (2, 0)

Now, this means that;

(8 + p)/2 = 2

8 + p = 4

p = 4 - 8

p = 4

Also; (3 + q)/2 = 0

3 + q = 0

q = -3

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Here's a Python program called "Powers" that calculates the first four powers of a given number:

```python

def powers(number):

   power_list = []

   for exponent in range(1, 5):

       result = number ** exponent

       power_list.append(result)

   return power_list

# Example usage

input_number = int(input("Enter a number: "))

result_powers = powers(input_number)

print("The first 4 powers of", input_number, "are:", result_powers)

```

When you run this program and enter a number, it will calculate the powers for that number and display them as a list. For example, if you enter 3, it will output:

```

Enter a number: 3

The first 4 powers of 3 are: [3, 9, 27, 81]

```

Feel free to customize the program as needed or incorporate it into a larger project.

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Answer: D.

Step-by-step explanation:

The formula for a z-score in statistics is:
(x-value - mean) / standard deviation

We are given all three values, so we can simply plug them in:

z = (62 - 79)/4

z = -17/4

z = -4.25

Jeff's expected earnings from the concert are $2903.

To calculate Jeff's expected earnings from the concert, we need to consider the probabilities of it raining or not raining. The probability of it raining is given as 11 percent, which means the probability of it not raining is 100% - 11% = 89%.

To find Jeff's expected earnings, we multiply the estimated earnings for each outcome by their respective probabilities and add them together.

Expected earnings = (Earnings if it does not rain) * (Probability of not raining) + (Earnings if it does rain) * (Probability of raining)

Expected earnings = $3200 * 0.89 + $500 * 0.11

Expected earnings = $2848 + $55

Expected earnings = $2903

Therefore, Jeff's expected earnings from the concert are $2903.

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Given info:There is a favourite sport and number of people watching and participating in the colony is given.

Draw the double bar graph for the data ?

Explanation:

See the attachment

Number of people watching cricket = 1240

Number of people participating cricket =620

Number of people watching Basket ball =470

Number of people participating Baskets ball=320

Number of people watching Swimming =510

Number of people participating Swimming= 320

Number of people watching Hockey=430

Number of people participating Hockey =250

Number of people watching Athletics =250

Number of people participating Athletics =105

Scale:-

On X - axis taking favourite sport

On Y-axis taking Number of people in the colony

First bar represents Watching

Second bar represents Participating

On Y-axis 1 cm = 100 units

(i)

⇛The number of people who are watching and participating in their favourite sport.

(ii)

⇛Cricket is the most popular of all other sports .

⇛It has the most watching people and the more participants

(iii)

⇛Watching is more preferred than Participating according to the given data of the colony.

Bar graph:-

⟨Hope this helps.⟩

You're trying to find how far that number is from 0 and whether its from the left or right. So -9 is 9 to the left of 0. So the AV of -9 is 9.

If the expression is  10x2-18x-4.:

a. The greatest common factor of the expression 10x^2 - 18x - 4 is 2.

b. The expression 10x^2 - 18x - 4 can be factored completely as: 10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

C.  the factoring from Part B is correct.

Part A: To find the greatest common factor of the expression 10x^2 - 18x - 4, we need to find the largest factor that divides all three terms of the expression evenly. One way to do this is to factor out the greatest common factor using the distributive property.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Now, we need to factor the expression inside the parentheses further to see if we can find any additional common factors.

5x^2 - 9x - 2 can be factored using the quadratic formula, but it does not have any common factors other than 1.

Therefore, the greatest common factor of the expression 10x^2 - 18x - 4 is 2.

Part B: To factor the expression completely, we can start by using the greatest common factor of 2.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Next, we need to factor the expression 5x^2 - 9x - 2 further. We can use the factoring method of product and sum:

The product of 5 and -2 is -10, and the sum of the factors that multiply to -10 and add to -9 is -10 and 1.

So, we can write 5x^2 - 9x - 2 as:

5x^2 - 10x + x - 2

= 5x(x - 2) + 1(x - 2)

= (5x + 1)(x - 2)

Therefore, the expression 10x^2 - 18x - 4 can be factored completely as:

10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

Part C: To check our factoring from Part B, we can multiply the factors using the distributive property and simplify:

2(5x + 1)(x - 2) = 2(5x)(x) + 2(5x)(-2) + 2(1)(x) + 2(1)(-2)

= 10x^2 - 20x + 2x - 4

= 10x^2 - 18x - 4

Therefore, the factoring from Part B is correct.

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Answer:

a. x = 9 + 4y

b. x = (7y-2)/6

c. x = (17 + k)/4

d. x = (9-c)/k

Step-by-step explanation:

In each of the equations, we want to make x the formula subject

a) 3x-12y = 27

3x = 27 + 12y

3x = 3(9 + 4y)

x = 9 + 4y

b) 6x-7y = -2

6x = 7y-2

x = (7y-2)/6

c) 4x - k = 17

4x = 17 + k

x = (17 + k)/4

d) kx + c = 9

kx = 9-c

x = (9-c)/k

The given numbers -80%, -0.25 can be arranged in ascending order as follows: -80%, -0.25.

To arrange the numbers -80% and -0.25 in ascending order, we need to compare their values.

First, let's convert -80% to a decimal. To do this, we divide -80% by 100, which gives us -0.8.

Now we have -0.8 and -0.25. Since both numbers are negative, the greater magnitude indicates the smaller value. In this case, -0.25 has a smaller magnitude than -0.8, so it is the smaller number.

Therefore, the numbers can be arranged in ascending order as follows: -0.25, -0.8.

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If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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Counting the squares, point B is 2 units to the right and 5 units up from point A. This describes a right triangle, and we can use the Pythagorean Theorem to find the length of AB.

The length of AB is approximately 5.39.

Answer:

$72 hope this helps!!

Step-by-step explanation:

When the level of significance is 0.07, the corresponding confidence level is 93%.

The level of significance (α) in statistical hypothesis testing represents the probability of rejecting the null hypothesis when it is actually true. In contrast, the confidence level represents the degree of certainty or reliability we have in the estimated results from a statistical analysis.

The confidence level is calculated as the complement of the level of significance, subtracted from 1. In this case, if the level of significance is 0.07, we subtract it from 1 to find the confidence level:

Confidence level = 1 - level of significance

Confidence level = 1 - 0.07

Confidence level = 0.93 or 93%

Therefore, when the level of significance is 0.07, the corresponding confidence level is 93%. This means that we can be 93% confident that the estimated results from a statistical analysis will fall within the desired range, while allowing for a 7% chance of Type I error (rejecting the null hypothesis when it is true).

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Answer:

3.75 i think

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.

In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.

The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:

z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7

As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.

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Answer: This is correct

Answer:

10 días

le pagan 75 por dia.

Step-by-step explanation:

150÷2 =75

75×10=750

Answer:

I am not sure if my amnswer is right but I hope it helps

Step-by-step explanation:

52p > 43p

Answer:

1 is 20

Step-by-step explanation:

a) The number of people in the town who buy the local newspaper is 931 (38% of 2450).

b) The number of people in the town who do not buy the local newspaper is 1519 (2450 - 931).

To find the number of people who buy the local newspaper, we multiply the total population of the town (2450) by the percentage of people who buy the newspaper (38% or 0.38).

This gives us 931 people who buy the newspaper.

To find the number of people who do not buy the newspaper, we subtract the number of people who buy the newspaper from the total population of the town.

Therefore, 2450 - 931 equals 1519 people who do not buy the local newspaper.

In summary, in a town with a population of 2450 people, 38% of them (931 people) buy the local newspaper, while the remaining 62% (1519 people) do not buy the newspaper.

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The answer is that regression analysis is the most appropriate method.

The most appropriate statistical method to justify building a new elementary school in the district would be regression analysis. This method can be used to examine the relationship between the expected number of students and the capacity of the schools in the district.



Regression analysis is a statistical method that helps to determine the relationship between two or more variables. In this case, the expected number of students would be the independent variable, while the capacity of the schools in the district would be the dependent variable. By analyzing the relationship between these variables, the school district can make predictions about how many students will need to be accommodated in the future and whether a new elementary school is necessary.

In contrast, binomial distribution is a statistical method that is used to calculate the probability of a specific number of successes in a set of trials, which would not be suitable for this situation. Confidence intervals and hypothesis tests are statistical methods used to draw conclusions about populations based on sample data, but may not be the most appropriate method for this situation.

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