Please help!!!!!!! Please help!!!!!! Please help!!!!!!

Select whether the function is discrete or continuous:

1. The number of basketballs manufactured per day. Is the situation discrete or continuous?

2. X=y/4, where x is the number of hours walked and y is the miles walked. Is this discrete or continuous?

3. The number of bulls eyes scored for each hour of practice. Is the situation discrete or continuous?

4. y= 4 to the power of 4x, where x is the time and y is gallons of water. Is this situation continuous or discrete?

Answers

Answer 1

Answers:

DiscreteContinuousDiscreteContinuous

==============================================

Explanations:

This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.

So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.


Related Questions

please help me with this math is for my math homework​

please help me with this math is for my math homework

Answers

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

\( \frac{137}{24} \)

or

\( \frac{137}{24} or \: 5 \frac{17}{24} \)

hope that helps you

ILL MARK U BRAINLY!!!
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?

14%
24%
48%
36%

Answers

36% is the answer???

(Rational Method) Time concentration of a watershed is 30min, If rainfall duration is 30min, the peak flow is just type your answer as 1 or 2 or 3 or 4 or 5) 1 CIA 2) uncertain, but is smaller than CL

Answers

The peak flow is 1 CIA. The Rational Method is used to calculate the peak discharge or peak flow rate in a catchment. This formula is commonly used in engineering and hydrology, and it's utilized for designing stormwater runoff control measures such as detention ponds, rain gardens, and storm sewers.

In this scenario, we are given that the Time of concentration of a watershed is 30 minutes, and the rainfall duration is also 30 minutes. By using the Rational Method formula, we can determine the peak flow rate. The formula is as follows:

Q = CIA, where Q is the peak flow rate, C is the runoff coefficient, I is the rainfall intensity, and A is the drainage area. Since we're given that the rainfall duration is 30 minutes, we can use the rainfall intensity equation to find out the I value. Using a rainfall intensity map, we can estimate that the rainfall intensity for a 30-minute duration is 2 inches per hour or 3.33 cm/hr. Now, we can substitute the given values into the Rational Method formula:

Q = CIA

Q = (0.4) (3.33) (A)

Q = 1.332 A

Q = 1.3A

According to the Rational Method, the peak flow rate is Q = 1.3A. Therefore, the answer is 1 CIA.

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What is √48 estimated to 2 decimal places? please hurry

Answers

Answer:

6.93

Step-by-step explanation:

√48 = √16 × √3

√48 = 4 × √3

√48 = 4 × 1.7321

√48 = 6.9284

Rounding up to 2 decimal places;

√48 = 6.93.

Note: In Mathematics, to round a number to 2 decimal places simply means to round up to the nearest hundredths.

1 decimal place = tenths.

2 decimal places = hundredths.

3 decimal places = thousandths.

Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water

Answers

Answer:

\(C(t)= \frac{1}{2} kg (2/3) ^ t\)

Step-by-step explanation:

Original Question:

Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Explanation:

Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.\(C(t)= \frac{1}{2} kg (2/3) ^ t\)


A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is

Answers

Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

Which of the following equations represent linear functions? ​

Which of the following equations represent linear functions?

Answers

Answer:

y = 4(2x) - 3

Step-by-step explanation:

linear functions are written like y =mx + b or y = kx

They must have "x" in it and there cannot be a square root or exponent near x.

y = -2 does not have an x therefore it is not a linear equation

x² + y = 1 has an exponent so write away we can eliminate this because linear equations cant have exponents

y = 2√x has a square root so we can eliminate this answer choice as well

y = 4(2x) - 3 simplifies to y = 8x - 3 which is put in y = mx + b which is linear therefore this is the answer

write the center of radius of the circle

Answers

To write the center and radius of a circle, we need to have the equation of the circle in standard form, which is: (x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.

What is circle?

A circle is a geometrical figure that is defined as a closed shape where all the points on the boundary of the shape are at an equal distance from the center point. The center of a circle is the point which is equidistant from all points on the circumference of the circle. To determine the center of a circle, we need to follow some steps:

Step 1: Identify the coordinates of three points on the circle

To find the center of a circle, we need to know the coordinates of at least three points on the circumference of the circle. The coordinates of these points can be determined by measuring the distance of the points from the x-axis and y-axis.

Step 2: Find the perpendicular bisectors of two chords

Once we have identified three points on the circle, we need to find the perpendicular bisectors of two chords. A chord is a line segment that connects two points on the circumference of the circle. The perpendicular bisector of a chord is a line that is perpendicular to the chord and passes through the midpoint of the chord.

Step 3: The intersection of perpendicular bisectors is the center of the circle

The perpendicular bisectors of two chords will intersect at a single point. This point is the center of the circle. To verify that this point is indeed the center, we can measure the distance from the center point to the three points on the circle. If the distances are equal, then the point is indeed the center of the circle.

In summary, to find the center of a circle, we need to identify the coordinates of at least three points on the circumference of the circle, find the perpendicular bisectors of two chords, and then find the intersection of the two perpendicular bisectors. This point is the center of the circle.

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a line is drawn thru (1,2) forming a right triangle with the positive x and y axies. what is the slope of line forming the smallest triangle (smallest area)

Answers

The slope of the line forming the smallest right triangle, when a line is drawn through the point (1, 2), is 2.

The slope of the line forming the smallest right triangle with the positive x and y axes, when a line is drawn through the point (1, 2), can be determined as follows.

First, let's consider the two axes as the legs of the right triangle, and the line drawn through (1, 2) as the hypotenuse. The slope of the hypotenuse can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates between the two endpoints.

Since the x-coordinate of the point where the line intersects the x-axis is 0 (positive x-axis), and the y-coordinate of the point where the line intersects the y-axis is 0 (positive y-axis), the difference in y-coordinates is 0 - 2 = -2, and the difference in x-coordinates is 0 - 1 = -1.

Therefore, the slope of the line forming the smallest right triangle is -2/-1 = 2.

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If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.

Answers

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

What is the inverse of a function?

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]

What is the probability that either event will occur?Now, find the probability of event A and event B.AB662020P(A

Answers

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Find area of figure

giving brainliest and 30 points

Find area of figuregiving brainliest and 30 points

Answers

Diameter=6units

Radius=6/2=3units

Area:-

πr²/23²π/29π/24.5π units ²

13. Marco's height is 63 inches. Marco's height is 3 inches less than 1.5 times Jennifer's height.

Answers

Answer:

Jennifer is 90 inches tall

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

1.5x-3=63

solve for x to get 44

will give brainy and 25 points and a thanks if you get this right need a expert

will give brainy and 25 points and a thanks if you get this right need a expert

Answers

Answer: ∠1= 60° ∠2=120° ∠3=60° ∠4=60° ∠5=120° ∠6=120° ∠7=60°

Step-by-step explanation: hope this helps!

please give brainliest!

Answer:

1. 60°

2. 120°

3. 60°

4. same as 1. 60°

5. same as 2. 120°

6. same as 2 and 5, and the angle given of 120°

7. same as 1. and 3. 60°

Step-by-step explanation:

You are given an angle of 120°

The lines are parallel, and the transversal gives you all the answers. All have to add up to 360°.

will give brainy and 25 points and a thanks if you get this right need a expert

consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?

Answers

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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how many degrees of freedom are there in a real symmetric matrix, a real diagonal matrix, and a real orthogonal matrix? (hint: the first answer is the sum of the other two, because a

Answers

The number of degrees of freedom in a real symmetric matrix is equal to the number of unique entries in the matrix.

If a matrix is n x n, then it has n^2 total entries. However, since it is symmetric, the diagonal entries are repeated, leaving (n^2 + n) / 2 unique entries. Therefore, the number of degrees of freedom in a real symmetric matrix is (n^2 + n) / 2.

The number of degrees of freedom in a real diagonal matrix is simply the number of diagonal entries, which is equal to the dimension of the matrix. Therefore, if the matrix is n x n, the number of degrees of freedom is n.

Finally, the number of degrees of freedom in a real orthogonal matrix is equal to the number of independent variables needed to specify the matrix. An orthogonal matrix is defined as a matrix whose columns are orthonormal, which means that they are unit vectors that are orthogonal (perpendicular) to each other. Since each column must be a unit vector, there are n independent variables needed to specify the first column (the magnitude and direction), n-1 independent variables needed to specify the second column (since it must be orthogonal to the first), and so on. Therefore, the total number of degrees of freedom in a real orthogonal matrix is the sum of the integers from 1 to n-1, which is (n-1)n/2.

Using the hint given in the question, we can add up the number of degrees of freedom in a real diagonal matrix and a real orthogonal matrix to get (n + (n-1)n/2), which simplifies to (n^2 + n)/2, which is the same as the number of degrees of freedom in a real symmetric matrix.

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HURRY PLEASEEEE
Q. 2
Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing?

Polynomial function f of x, which increases from the left and passes through the point negative 5 comma negative 4 and goes to a local maximum at negative 4 comma 0 and then goes back down through the point negative 3 comma negative 2 to a local minimum at the point negative 2 comma negative 4 and then goes back up through the point negative 1 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 3 comma 5 that is asymptotic to the line x equals negative 2 and then another piece that is asymptotic to the line x equals negative 2 and increases from the left in quadrant 3 passing through the point negative 1 comma negative 3 and 2 comma 0 that is asymptotic to the line y equals 1

A. open parenthesis negative infinity comma negative 4 close parenthesis
B. open parenthesis negative infinity comma negative 4 close parenthesis
C. open parenthesis negative infinity comma negative 4 close parenthesis union open parenthesis negative 2 comma infinity close parenthesis
D. open parenthesis negative infinity comma negative 4 close parenthesis union open parenthesis 2 comma infinity close parenthesis

Answers

The correct answer is C. open parenthesis negative infinity, -4 close parenthesis union open parenthesis -2, infinity close parenthesis.

Based on the description of the graphs of f(x) and g(x), the intervals in which both functions are increasing can be determined.

For function f(x), it is stated that it increases from the left, passes through (-5, -4), reaches a local maximum at (-4, 0), goes back down through (-3, -2) to a local minimum at (-2, -4), and then goes back up through (-1, 0) to the right.

For function g(x), it is mentioned that one piece of the rational function increases from the left in quadrant 2, passing through (-6, 2) and (-3, 5), and asymptotically approaches the line y = 1.

Another piece of the function is asymptotic to the line x = -2 and increases from the left in quadrant 3, passing through (-1, -3) and (2, 0).

To find the intervals where both functions are increasing, we need to identify the overlapping regions of increasing behavior for both functions.

Based on the given information, the only overlapping interval of increasing behavior for both functions is:

C. open parenthesis negative infinity, -4 close parenthesis union open parenthesis -2, infinity close parenthesis

This interval includes the range where function f(x) increases from the left and function g(x) increases from the left in quadrant 2 and quadrant 3.

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solve the linear equation 4x-(2x-1)=x+5+x-6

Answers

The linear equation doesn't have a solution.

How to compute the value?

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
5
(15,3)
+
(0,0) 5
10
15
-5
Х
O ) A. y = - 1 / 8x
O B. y = x
Х
O C. y = 5x
D. y = 3x
E. y = 15x

What is the equation of the following line? Be sure to scroll down first to seeall answer options.105(15,3)+(0,0)

Answers

The answer is 1/5x.
Hope this helps
B) 1/5x

The equation of the given line in the graph is y = x/5

What is an equation of a line?

The equation of a straight line is y = mx+c, m is the gradient and c is the height at which the line crosses the y-axis, also known as the y -intercept.

Given is a graph, of a line passing from (0, 0) and (15, 3), we need to find the equation of the line,

We know that, the equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, the points (x₁, y₁) and (x₂, y₂) are (0, 0) and (15, 3)

Finding the equation,

y-0 = 3-0 / 15-0 (x-0)

y = x/5

Hence, the equation of the given line in the graph is y = x/5

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Solve the following

Solve the following

Answers

For part A, first of all, you need to multiply both sides by 2.

4x - 1 = 2x + 14

Then, you need to add 2 to both sides.

4x = 2x + 15

Now, you need to subtract 2x from both sides.

2x = 15

Finally, you need to divide both sides by 2.

x = 7.5

So the answer to part A is 7.5

Now for part B.

First of all, you need to multiply both sides by 3.

9x + 6 = 2x + 13

Next, you need to subtract 6 from both sides.

9x = 2x + 7

Now, you need to subtract 2x from both sides.

7x = 7

Finally, you need to divide both sides by 7.

x = 1

So the answer to part B is 1

estimate the square root of 7 to the nearest whole number.

Answers

We will first identify the square root of 4 and the square root of 9. √4 < √7 < √9. Using the average method, find 7 ÷ 3 or 7 ÷ 2. Thus, √7 = 2.66 by the average method.

A store discounts an old model refrigerator they offer 20% off the regular price the discount on the refrigerator is $175. What is the regular price of the refrigerator

Answers

The regular price of the refrigerator is $875 after the discounts.

To find the regular price of the refrigerator, we'll use the information given about the discount and percentage off.

Step 1: Express the discount percentage as a decimal.
20% off = 0.20

Step 2: Calculate the proportion of the price represented by the discount.
Since the discount is $175, and it represents 20% of the original price, we can write the equation:

0.20 * regular price = $175

Step 3: Solve for the regular price.
To find the regular price, divide both sides of the equation by 0.20:

regular price = $175 / 0.20

regular price = $875

The regular price of the refrigerator is $875.

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The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.

A) What is the constant of variation?

B) If another rider completes the course in 25 seconds, what was his speed?

Answers

The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,

Average speed ∝ (1/time)

Now, if the constant of variation is introduced then the relationship can be written as,

Average speed = k(1/time)

Substituting the values, we will get,

\(73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet\)

Hence, the value of the constant of variation is 2,199 feet.

B.) The speed of the another rider is,

Average speed = k(1/time)

Average speed = 2,199×(1/25) feet/sec

Average speed = 87.96 feet/sec

Hence, the speed of another rider is 87.96 feet/sec.

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8.1 + u/7 = -3.1
Please help, Thanks!!

Answers

u=-392/5
Alternative Form
4=-782/5,u=-78.4

Victor is buying a new car that regularly costs $24,800 . The discount is 5% off the regular price. How much is the discount?

Answers

Answer:

1240

Step-by-step explanation:

how many hours would the student in part (a) need to study to have a 50 % chance of getting an a in the class?

Answers

Every student is unique and different from each other so its not possible to  to provide an accurate estimate of the number of study hours a student would need to have a 50% chance of obtaining an A in the class.

To determine the number of hours a student needs to study to have a 50% chance of getting an A in the class, we require more information about the context and the factors influencing the student's grade.

The number of hours needed to achieve a desired grade depends on various factors, including the student's current level of understanding, the difficulty of the course material, their study habits, and the grading criteria of the class.

In general, to estimate the number of hours needed, it would be helpful to consider historical data or consult with the instructor or academic resources to understand the average study time required to achieve an A in the class.

Without specific information regarding the aforementioned factors, it is not possible to provide an accurate estimate of the number of hours a student would need to study to have a 50% chance of obtaining an A in the class.

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please help to find the value of x and explain how to get it in simple terms.

please help to find the value of x and explain how to get it in simple terms.

Answers

SOLUTION

From the image above

\(\begin{gathered} z^2=6^2+3^2\ldots\text{ by pythagora's rule } \\ z^2=36+9 \\ z^2=45 \\ z=\sqrt[]{45} \end{gathered}\)

Considering the bigger right angle triangle,

\((3+x)^2=y^2+45\)

We can obtain the expression of y from the smaller right angle triangle,

Using pythagora's rule, we have

\(y^2=6^2+x^2\)

Then, recall

\((3+x)^2=y^2+45\)

Substite the expression for y², we have

\((3+x)^2=6^2+x^2+45\)

Expand the paranthesis, we have

\(\begin{gathered} 9+6x+x^2=x^2+36+45 \\ \text{Subtract x}^2from\text{ both sides } \\ 9+6x=36+45 \\ \end{gathered}\)

subtract 9 from both sides, we have

\(\begin{gathered} 6x+9-9=81-9 \\ 6x=72 \end{gathered}\)

Divide both sides by 6, we obtain

\(\begin{gathered} \frac{6x}{6}=\frac{72}{6} \\ \text{Then} \\ x=12 \end{gathered}\)

Therefore

Answer: x= 12

please help to find the value of x and explain how to get it in simple terms.
please help to find the value of x and explain how to get it in simple terms.

the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54

Answers

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Find the length of side BC give your answer to three significant figures

Find the length of side BC give your answer to three significant figures

Answers

Answer:

19.4 cm

Step-by-step explanation:

Hi there!

This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:

\(cos\theta=\frac{adj}{hyp}\)

Plug in the given angle and side

\(cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4\)

Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.

I hope this helps!

find the indicated measure. use the given sample data to find Q3 49 52 52 74 67 55 55A. 55.0 B. 67.0 C. 6.0 D. 61.0

Answers

Answer: Option B: 67.0

Step-by-step explanation: To find Q3, we need to first find the median (Q2) of the dataset.

Arranging the data in order, we get:

49, 52, 52, 55, 55, 67, 74

The median (Q2) is the middle value of the dataset, which is 55.

Next, we need to find the median of the upper half of the dataset, which consists of the values:

55, 67, 74

The median of this upper half is 67.

Therefore, Q3 (the third quartile) is 67.0, option B.

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