Question 4(Multiple Choice Worth 3 points)
(04.04 LC)

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 true negative result?
35%
30%
18%
12%

After looking carefully the six cards, I

Answer:

A

Step-by-step explanation:

Answer:A They built them on hills.

Step-by-step explanation:

They built them on hills bc they elwanted to keep them safe and B C and D would not provide the proper protection.

The value of 'd' will be;

⇒ d = 12

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A line has a slope of 9 and includes points (9, d) and (8, 3).

Now,

We know that,

Slope of line (m) = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (3 - d) / (8 - 9)

⇒ 9 = (3 - d) / (-1)

⇒ - 9 = 3 - d

⇒ d = 3 + 9

⇒ d = 12

Thus, The value of 'd' will be;

⇒ d = 12

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Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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The sum of the algebraic expressions (–2.1x + 3.7) and (5 + 4.9x) as required in the task content is; Choice C; 2.8x + 8.7.

It follows from the task content that the sum of the algebraic expression given is to be determined.

Therefore, we have;

(–2.1x + 3.7) + (5 + 4.9x)

= -2.1x + 4.9x + 3.7 + 5

= 2.8x + 8.7.

Ultimately, the sum of the given algebraic expressions is; 2.8x + 8.7.

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Answer:

ITS C

Step-by-step explanation:I JUST TOOK THE TEST AND GOT A 100

sorry caps

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

x=7(y-5)/3 +7

Step-by-step explanation:

y-5=3(x-7)/7

(y-5)×7=3(x-7)

7(x-7)=3(x-7)

7(y-5)/3=x-7

7(y-5)/3+7=x

In order to find angle theta in trigonometry is to use the relationships between the angles and sides of a triangle, as well as the trigonometric functions and inverse trigonometric functions, to solve for the unknown angle.

Trigonometry is a branch of mathematics that deals with the relationship between the angles and sides of a triangle. Finding the value of an unknown angle, such as theta, is a common task in trigonometry.

If we know the lengths of two sides, we can use the inverse trigonometric functions (arcsine, arccosine, and arctangent) to find the value of one of the angles. If we know the length of the opposite side and the length of the adjacent side, we can use the tangent function to find the value of theta:

tan(theta) = opposite/adjacent

To solve for theta, we can take the inverse tangent (or arctangent) of both sides:

theta = arctan(opposite/adjacent)

If we only know the length of one side and the value of one of the other angles, we can use the remaining angle to find the value of theta.

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The probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.

We can use the standard normal distribution to solve this problem by standardizing the value of 17,340 hours to a z-score:

z = (17340 - 15000) / 1300 = 1.8

Using a standard normal distribution table or calculator, we find that the probability of getting a value greater than 1.8 is 0.0359.

Therefore, the probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.

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Divide both sides by 7:

Add 1 to both sides:

Express sec(x) as 1/cos(x):

Since the solutions are for the interval:

The solutions are:

Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Let's solve the problem step by step. Given: Perimeter of the rectangle = 16p centimeters

Width of the rectangle = 2p centimeters

Step 1: Calculate the length of the rectangle.

The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)

Given: Perimeter of the rectangle = 16p centimeters

Width of the rectangle = 2p centimeters

Using the formula for the perimeter of a rectangle:

16p = 2(length + 2p)

16p = 2(length) + 4p

16p - 4p = 2(length)

12p = 2(length)

6p = length

So the length of the rectangle is 6p centimeters.

Step 2: Calculate the side length of the equilateral triangle.

Each side of the equilateral triangle is 1/2 the length of the rectangle.

Length of the rectangle = 6p centimeters

Side length of the equilateral triangle = 1/2 * 6p = 3p centimeters

Therefore, the side length of the equilateral triangle is 3p centimeters.

In summary:

The width of the rectangle is 2p centimeters.

The length of the rectangle is 6p centimeters.

The side length of the equilateral triangle is 3p centimeters.

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Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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Answer:

The measure of \(\theta\) is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of \(\theta\) is \(\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)\). What is \(\theta\)?"

The measure of the angle (\(\theta\)), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form \((x,y)\) is determined by the following inverse trigonometric function:

\(\theta = \tan^{-1}\left(\frac{y}{x} \right)\) (1)

If we know that \(x = \frac{\sqrt{3}}{2}\) and \(y = \frac{1}{2}\), then the measure of \(\theta\) is:

\(\theta = \tan^{-1} \frac{\sqrt{3}}{3}\)

\(\theta = 30^{\circ}\)

The measure of \(\theta\) is 30°.

Answer:

its 60 degrees

Step-by-step explanation:

a p e x 2021

Answer:

Ali= x + 5

Aunt= 4x

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

:<

Answer:

check on photomath will find it

Answer:

y=16(9)^x

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:x=4

Step-by-step explanation:

Divide 9 by both sides

That's an interesting topic of study. The 10-year study conducted by the American Heart Association aimed to investigate the relationship between age, blood pressure, smoking, and the risk of strokes.

The study likely involved collecting data from a large sample of individuals over a period of 10 years to analyze and draw conclusions.

Here are some possible research questions that the study could have addressed:

1. How does age affect the risk of strokes? The study might have examined whether there is a correlation between increasing age and a higher risk of strokes.

2. What is the relationship between blood pressure and the risk of strokes? The study could have investigated whether elevated blood pressure is associated with a higher likelihood of experiencing strokes.

3. Does smoking contribute to an increased risk of strokes? The study might have explored the connection between smoking habits and the likelihood of strokes, considering both current and past smoking patterns.

4. Are there interactions between age, blood pressure, and smoking in determining stroke risk? The study could have examined how these probability factors interact with each other to influence the probability of strokes.

By analyzing the collected data and applying appropriate statistical methods, the researchers would have been able to assess the strength and significance of the relationships between these variables and the risk of strokes.

The findings from this study could provide valuable insights for prevention strategies, treatment approaches, and public health interventions aimed at reducing the occurrence of strokes and improving cardiovascular health.

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Answer:

Red: y=(x+6)^2-1

Blue: y=-(x+3)^2+1

Green: y=(x^2-1)

Orange: y=-(x-3)^2+1

Purple: y=(x-6)^2-1

Step-by-step explanation:

Use Desmos to check

For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic are as follows:

p-value = 0.09 is the probability of obtaining a value for the test statistic.

We are going step by step

Step 1) the p-value is the probability of obtaining a value for the test statistic at least as extreme as that provided by the sample

Step 2) Here the Confidence level is equal to 0.95

So the level of significance is equal to 0.05

p-value = 0.09

Since the p-value is higher than the level of significance that we do not reject the null hypothesis.

Hence the answer, the p-value = 0.09 is the probability of obtaining a value for the test statistic.

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SOLUTION:

We are to find the equation that best represents the axis of symmetry in the given graph.

The axis of symmetry is the line that divides the graph into two equal parts and it is parallel to y - axis.

By critical and careful examination, it is clear that the line of symmetry is x = 2 ( when you draw a line parallel to y-axis, it divides the graph into equal parts.

So the correct option is G that is, x = 2

Answer:

66.67% is the answer I am bored

The probability of rolling a sum of 7 or 11 when rolling both dice is approximately 0.111 or 11.1%.

The probability of rolling a sum of 7 or 11 with two 6-sided dice, we can first calculate the total number of possible outcomes when rolling both dice.

Each die has six possible outcomes, so the total number of possible outcomes when rolling both dice is 6 x 6 = 36.

To count the number of outcomes where the sum is 7 or 11.

There are two ways to roll a sum of 7:

(1, 6) and (6, 1).

There are also two ways to roll a sum of 11:

(5, 6) and (6, 5).

There are four possible outcomes that result in a sum of 7 or 11.

Thus, the probability of rolling a sum of 7 or 11 is:

4/36

= 1/9

≈ 0.111

The total number of outcomes while rolling both dice in order to determine the likelihood of rolling a sum of 7 or 11 using two 6-sided dice.

Rolling both dice, there are a total of six possible results for each die, for a total of 36 options in all.

to determine how many possibilities there are where the total is 7 or 11. Rolling a 7, there are two possible outcomes: (1, 6) and (6, 1).

Additionally, there are two methods to roll an 11: (5, 6) and (6, 5).

There are four events that can lead to a total of either 7 or 11.

As a result, the likelihood of rolling a 7 or 11 is 4/36 = 1/9 0.111.

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Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

By answering the above question, we may state that Once everyone on unitary method the phone tree has been contacted and advised of the schedule change, the procedure may be repeated.

The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply expressed, the unit technique is used to extract a single unit value from a multiple that is provided.

First, the coordinator phones five persons to let them know that the school's schedule is changing.

Step 2: Those 5 people then each phone 5 more people, resulting in a total of 25 people receiving the news.

Step 3: The 25 call 5 additional individuals each, reaching a total of 125 people.

Step 4: The 125 call 5 additional individuals apiece, reaching a grand total of 625 persons.

Step 5: A total of 3,125 individuals have been told after the 625 phone 5 further persons each.

Once everyone on the phone tree has been contacted and advised of the schedule change, the procedure may be repeated.

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