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

Answer 1

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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Related Questions

Pleaseeee help meeee

Answers

Answer:

h = [tex]\frac{S-2\pi r^2}{2\pi r}[/tex]

Step-by-step explanation:

S = 2πr² + 2πrh ( subtract 2πr² from both sides )

S - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )

[tex]\frac{S-2\pi r^2}{2\pi r}[/tex] = h

Meredith orders three items from an online retailer. the first item will arrive with equal likelihood in one of the first through third days of feburuary. the second will arrive with equal likelihood in one of the second through fourth days of february, and the third will arrive with equal likelihood in one of the third through fifth days of february. if at most one item can be delivered in a given day, what is the probability that the first time is not the first to be delivered?

how do i go about this?

Answers

The probability that the first item is not the first to be delivered will be 1/3.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The likelihood that the main thing shows up on the principal day of February is 1/3.The likelihood that the subsequent thing shows up on the principal day of February is 1/3,The likelihood that the third thing shows up on the principal day of February is 0.

The probability that one of the other two items arrives first will be given as,

p = 1/3 + 1/3

p = 2/3

The probability that the first item is not the first to be delivered will be given as,

q = 1 - p

q = 1 - 2/3

q = 1/3

The probability that the first item is not the first to be delivered will be 1/3.

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A desk is on sale for $480 , which is 50% of the regular price.
What is the regular price?

Answers

Answer: $960

Step-by-step explanation:

Regular Price = x

x*0.5 = 480

x = 960

Answer:

$960

Step-by-step explanation:

Since 480 dollars is half (50%) of the regular price...

you can find the total price by dividing 480 by 0.50 (50%)

or multiplying 480 by 2. You end up getting an answer of $960.

The distance between 2 cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers.
Write you answer as a number without units.

Answers

Answer: 70

Step-by-step explanation:

70 kilometers if 3.5 centimeters is the distance and each centimeter represents 20 kilometers, 3.5 times 20 is equal to 70

Please help I really need it

Answers

Kelly's brothers age after 4 2/3 is 23 12/24 years.

What is Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

We have  ;

Kelly's Brother is 18 7/8 year old.

We have to calculate;

His age after 4 2/3 years.

So,  

⇒ 18 7/8 + 4 2/3

⇒ 151/8 + 14/3

⇒151 x 3 + 14 x 8/24

⇒453 + 112 /24

⇒565/24

⇒23 13/24 year old

Hence , his age after 4 2/3 is 23 13/24 years.

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in the following equation , what happens to the value of y when the value of x is divided by 6 y=3/x

Answers

The value of y is multiplied by 6 when x is divided by 6

How to determine what happens to y

From the question, we have the following parameters that can be used in our computation:

y = 3/x

Also, from the question we understand that

x is divied by 6

This means that the new equation is

y = 3/(x/6)

Evaluate

y = 6 * 3/x

This means that the new value of y is  multiplied by 6

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a fictional country has a population of 5 million people and a net immigration rate of 1 person per 1000 people. the population is only increasing due to immigration. how long will it take the country's population to double?

Answers

The time it takes for the country's population to double is 1000 years. The total population would be 10 million people.

How to calculate the population growth?

We can calculate the population growth by

P = P₀ × r × t

Where

P = population growthP₀ = current populationr = growth raten = number of periods

Suppose that immigration is the only factor of population growth. We have

Net immigration rate, i = r = 1/1000The current population, P₀ = 5 million people

Find the time that takes the country's population to double!

To make the country's population double, the population growth should be also 5 million people.

The formula would be

5,000,000 = 5,000,000 × 1/000 × t

t = 1,000/1

t = 1,000 years

Hence, the country's population will be double after 1,000 years.

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Scale model A toy manufacturer sells a 0.9-m tall model of the CN Tower. The
model casts a shadow 0.2 m long. At the same time of day, the CN Tower casts a
shadow 123.3 m long. Find the height of the CN Tower, to the nearest metre.
Include a diagram in your explanation.

Answers

The height of the CN tower found using the trigonometric function to the nearest metre is 555m.

What are the different trigonometric functions?

Trigonometric functions are used to determine the relationship between

angles and sides of a triangle.

The basic functions are sine, cosine and tangent.

sine = perpendicular/hypotenuse

cosine = base/hypotenuse

tangent = perpendicular/base

From the figure, we can see the right-angled triangles made by both the model and real CN towers.

Since the shadow is cast at the same time of the day, we can say that the angles θ and Φ formed are the same angles.

So from the figure,

tan θ = tan Φ

  0.9/0.2 = h/ 123.3

h = 554.85 m

Therefore the height of the CN Tower to the nearest metre is 555m.

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11. The range of a cellular phone service area is a circular region bounded by the equation: x² +
y² = 400. A fire road represented by y-3x = 20 runs through the service area. Find the
point(s)) where the fire road intersects the outer boundary of the service area.

Answers

The point(s)) where the fire road intersects the outer boundary of the service area is found using the equation of circle which is (0,20) and (-12,-16).

What is the equation of circle?

A circle is a closed curve that extends outward from a set point known as the centre, with each point on the curve being equally spaced from the centre. A circle with a (h, k) centre and a radius of r has the equation:

(x-h)² + (y-k)² = r²

The equation of the circle is given as - x² + y² = 400 .... (1)

The equation of the fire road is given as - y - 3x = 20 .... (2)

Write the equation of fire road in slope-intercept form - y = mx + b

y = 3x + 20

Substitute the value of y in equation (1) -

x² + y² = 400

x² + (3x + 20)² = 400

Follow the (a + b)² rule, (a + b)² = a² + 2ab + b²

x² + (3x + 20)² = 400

x² + 9x² + 120x + 400 = 400

10x² + 120x + 0 = 0

x² + 12x = 0

x(x+12) = 0

x = 0, x = -12

Substituting the values of x in equation (2).

First calculate for x = 0.

y - 3x = 20

y - 3(0) = 20

y = 20

Now, calculate for x = -12.

y - 3x = 20

y - 3(-12) = 20

y + 36 = 20

y = 20 - 36

y = -16

Therefore, the points of intersection are (0,20) and (-12,-16).

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Four students set up a lemonade stand. At the end of the day,their profit is $17. 52. How much money do they have when the profit is split equally?

Answers

Answer:

$4.38

Step-by-step explanation:

17.52/4=4.38

how to simplify 6(1+10m)

Answers

Answer:

0.1

Step-by-step explanation:

1.distribute the 6 to 1 and 10

2.now its 6+60m

3. divide 60 on both sides

4. 60/60 cancels out.

5.  6/60 =0.1

A hockey player scores 27 goals over a 22 game season. State the goals per game for this situation and round your answer to the nearest tenth if necessary.

Answers

subtract 22 from 27 the results is=5

let and let be a random sample from a probability distribution with probability density function , zero elsewhere. is the maximum likelihood estimator an unbiased estimator of ? let and let be a random sample from a probability distribution with probability density function , zero elsewhere. is the maximum likelihood estimator an unbiased estimator of ? true false

Answers

The statement "the maximum likelihood estimator is an unbiased estimator of " is False.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

It depends on the specific probability density function (pdf) of the distribution. An estimator is unbiased if its expected value is equal to the true value of the parameter being estimated. For a given pdf, the maximum likelihood estimator (MLE) may or may not be an unbiased estimator of the true parameter value.

The MLE is the value of the parameter that maximizes the likelihood function, which is the probability of the observed sample under the assumed pdf. In general, the MLE is a consistent estimator, meaning that as the sample size increases, the MLE will converge to the true parameter value with probability 1. However, it may not always be unbiased.

The statement "the maximum likelihood estimator is an unbiased estimator of " is False.

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6 Total || Part Total 100 John has walked 15% of the way home from school. If he has walked 200 meters so far, how far does he walk home from school? Percent 100​

Answers

John will walk 1,333.33 meters home from school.

What is percentage?

Percentage is a mathematical concept used to express a number as a fraction of 100. It is generally used to compare one number to another, in terms of its relative size. For example, if 30 out of 100 people have voted for a certain candidate, then the percentage of those who voted for that candidate is 30%.

Percentage can also be used to express a change in a value over time.

For instance, if the price of a product has increased from $10 to $15, then the percentage increase in the price is 50%.

Percentage can also be used to compare different groups of data. For instance, if an organization has ten male employees and five female employees, then the percentage of male employees is 66.67%.

Percentage is an important concept in the field of mathematics and is used to calculate the percentage of a whole or part of a whole.

To find the total distance John will walk home from school, you need to multiply 200 meters, which is the distance he has already walked, by 100%, which is the total amount of the journey home from school, and then divide that answer by 15%, which is the percentage of the journey he has already walked.

200 x 100/15 = 1,333.33

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A company buys a digital scanner for $12,000 the value of the scanner is $12,000 (1-n/5) after n years. The company has budget to replace the scanner when the trade-in value is 2400. After how many years should the company plan to replace the machine in order to receive this trade in value?

Answers

For the given distance the time taken for the company plan to replace the machine in order to receive this trade in value is 4 years.

The term called distance is defined as the two points lie on the same horizontal or same vertical line and it is the distance can be found by subtracting the coordinates that are not the same.

Here we have know that the company buys a digital scanner for $12,000 the value of the scanner is $12,000 (1-n/5) after n years.

And here we also know that the company has budget to replace the scanner when the trade-in value is 2400.

By Using the given expression for the value of scanner after n years, we equate it to $2400 and solve for n is written as,

=> 12000 (1 - n/5) = 2400

When we simplify this one then we get,

=> 1 - n/5 = 2400/12000

=> 1 - n/5 = 0.2

=> n/5 = 0.8

=> n = 4.

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Need help please I’m stuck on this

Answers

The average rate of rain displayed in the graph is 2.5 inches per day.

1. The C.R.O.C is 2.5.

2. The equation that can be used to find y, is y = 2.5x.

3. Yes, this is a proportional relationship.

4. Yes there is a C.O.P of 2.5.

5. The unit rate is 2.5 inch rain in 1 day.

6. The amount of rain that would fall in 15 days is 37.5 inches.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

In the graph the x-axis represents the number of days.

In the graph the y-axis represents the rain in inches.

The first point is (2,5) which tells that in 2 days the rain fell 5 inches.

So, the average rain will be 5/2 = 2.5 inches.

CROC stands for constant rate of change. The formula for constant rate of change is -

= (y2 - y1)/(x2 - x1)

= (10 - 5)/(4 - 2)

= 5/2

= 2.5

Therefore, the constant rate of change is 2.5

The first point in the graph is (2,5), the x-intercept being 2 and y-intercept being 5. The CROC is obtained as 2.5.

So the equation for y can be given as -

y = 2.5 x

A proportional relationship between two variables x and y  is when one variable is always some constant value multiplied by the other.

So, yes the relationship between the x and y value in this graph is proportional.

The “constant of proportionality” is the name given to this constant. All proportional relationships can be represented by the equation y =kx  , where k  is the proportionality constant.

Since, the equation is y = 2.5x.

Therefore, the constant of proportionality is 2.5.

The unit rate is 2.5 inches of rain in one day.

The amount of rate that would fall in 15 days is -

y = 2.5 x

y = 2.5 (15)

y = 37.5

Therefore, the amount of rain will be 37.5 inches.

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A car rental company charges a service fee and then a daily rate when it rents out a car.

The total cost for the rental can be modelled by the following function.



C = 45d + 25



What statement is true about the rental company’s charges?

Answers

The statement that is true about the rental company’s charges is A. The deposit fee is $ 25 and the rental fee per day is $ 45.

How to find the true statement ?

The total cost function is given as C = 45d + 25. This means that the slope is 45 and the y - intercept is 25.

This also means that the rental per day is $ 45 because the slope is the amount that the total cost changes by per day which must be the daily rental cost.

The $ 25 would be the cost that a person pays as a down payment when they rent the car because this amount does not change.

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Options for this question include:

A. The deposit fee is $ 25 and the rental fee per day is $ 45.

B. The deposit fee is $ 45 and the rental fee per day is $ 25.

C. The car can be rented for $ 45 and then given back to the company at $ 25

Jason planted 11 packs of seeds in his 4 garden's he planted the same amount of seeds in each garden how many packs of seeds were planted in each garden

Answers

If Jason planted 11 packs of seeds in his 4 garden's he planted the same amount of seeds in each garden then the number of packs of seeds were planted is 2.74 pack for each garden  .

the number of packs of seed planted by Jason is = 11 packs  ;

the number of gardens in which the seeds are planted is = 4 garden ;

the amount of packs planted in each garden can be calculated by the expression on dividing "number of seed packs" by "number of gardens" ;

⇒ (number of seed packs)/(number of gardens) ;

Substituting values of number of seed pack and number of garden ,

we get ;

= 11/4 = 2.74 .

Therefore , Jason planted 2.74 packs of seed in each garden .

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Select a counter-example that makes the conclusion false. 7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1 Conclusion: the difference of two positive numbers is always positive. Counterexample:

Answers

A counter example to the statement that the difference of two positive numbers is always positive is 4 - 7.

How to illustrate the counter example?

Any exception to a generalization is a counterexample. A counterexample refutes the generalization in logic, and it does so firmly in the disciplines of math and philosophy.

A formal proof is necessary to establish the veracity of a mathematical assertion. Finding just one instance where a mathematical assertion is incorrect suffices to disprove it, though. An example like this is referred to as a counterexample because it contradicts or goes against the conclusion of the statement.

Here, a counter example to the statement that the difference of two positive numbers is always positive is:

= 4 - 7.

= -3

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the proportion of defective electronic items in a shipment has the beta distribution. find the probability that at least 30% of the items in the shipment are defective (round off to second decimal place).

Answers

The probability that at least 30% of the items in the shipment are defective is 0.7360.

The beta distribution with parameters (3,3) is the conjugate prior for the binomial distribution with a probability of success of p, where 0<p<1.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of Bernoulli trials. A Bernoulli trial is a random experiment with two possible outcomes: success or failure. In the context of the problem you presented, success would be a defective item, and failure would be a non-defective item.

To find the probability that at least 30% of the items in the shipment are defective, we can use the cumulative distribution function (CDF) of the beta distribution. The CDF of the beta distribution is given by:

F(x;a,b) = (x^(a-1) * (1-x)^(b-1)) / B(a,b)

where x is the proportion of defective items, a and b are the shape parameters, and B(a,b) is the beta function.

We want to find P(X >= 0.3) where X is the proportion of defective items. Substituting the values for a, b, and x we get

P(X >= 0.3) = 1 - P(X < 0.3)

= 1 - F(0.3;3,3)

= 1 - ((0.3^(3-1) * (1-0.3)^(3-1)) / B(3,3))

= 1 - ((0.3^2 * 0.7^2) / (1/6))

= 1 - ((0.09 * 0.49) / (1/6))

= 1 - (0.044/0.1666)

= 1 - 0.2640

= 0.7360

Therefore, The probability that at least 30% of the items in the shipment are defective is 0.7360.

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Claire has no more than $45 to spend on a new dress. If x represents the amount Claire can spend, which inequality represents the possible prices of the new dress?

Answers

The possible prices of the new dress must be any value less than or equal to $45.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

Start with the inequality x ≤ 45

This inequality states that x must be less than or equal to 45.

Therefore, the possible prices of the new dress must be any value less than or equal to $45.

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please help i’m so bad at geometry

Answers

Answer:

what is the question the website is blocked

Step-by-step explanation:

a right angle is 90°. take 24° and subtract it from 90°. your answer is 66°. you’ve got this

a crane has a 200-foot arm whose lower end is 5 feet off the ground. the arm has to reach the top of the dome 80 feet high. at what angle x should the arm be set?

Answers

Using the trigonometry ratio, at angle 50.81° should the arm be set.

We have to determine the angle x should the arm be set.

A crane has a 200-foot arm whose lower end is 5 feet off the ground.

The arm has to reach the top of the dome 80 feet high.

The length of crane arm = 200ft

The height of building = 160ft

The initial height of the crane = 5ft

As a result, the height of the building in relation to the crane can be expressed as;

h = 160ft - 5ft

h = 155ft

The angle x the crane makes with the horizontal can be expressed mathematically as;

sin x = opposite/hypothesis

sin x = 155ft/200ft

sin x = 0.775

Taking [tex]\sin^{-1}[/tex] on both side, we get

x = [tex]\sin^{-1}[/tex](0.775)

Using the calculator

x = 50.81°

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Suppose your friend's parents invest $10,000 in an account paying 6% compounded annually. What will the balance be after 7 years?
The account balance will be $
(Round to the nearest cent as needed.)

Answers

The balance will be $15,036.30 after 7 years.

What is Compound Interest?

Compound interest, also known as interest on principle and interest, is the practise of adding interest to the principal amount of a loan or deposit.

We have,

P = $10,000

R= 6%

T= 7 years

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n[tex])^{nt[/tex]

A = 10,000.00(1 + 0.06/1)⁷

A = 10,000.00(1 + 0.06)⁷

A = $15,036.30

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fx=4(3)^(x)

The function represents exponential growth.
The function represents exponential decay .

The​ y-intercept is _______

Answers

The function represents exponential growth and the y-intercept is 4

How to determine the type of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = 4(3)^x

An exponential function is represented a

f(x) = ab^x

Where

y-intercept = a

rate = b

This means that

y-intercept = 4

b = 3

Since the value of b is greater than 1, then the function is a growth function

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students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?

Answers

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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A new club sent out 252 coupons to boost sales for next years memberships. They provided 5 times as many potential members than existing members. How many coupons did they sent to existing members?

Answers

Answer:

42

Step-by-step explanation:

Let's call the number of coupons sent to existing members as "x".

We know that:

They provided 5 times as many potential members than existing members, meaning that they sent 5*x coupons to potential members.

The total number of coupons sent is 252

So we can write an equation:

x + 5x = 252

6x = 252

x = 252/6

x = 42

Therefore, they sent 42 coupons to existing members.

Answer: 42

Step-by-step explanation:

5x + x = 252

6x = 252

x = 42

existing members = 1x

1 x 42

= 42

Which statements are true? Check all that apply.


On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).

A is in Quadrant I.

B is on the x-axis.

C is in Quadrant I.

D is in Quadrant III.

E is on the x-axis.

F is on the x-axis.

G is on the y-axis.

Answer is A, D, F, G

Answers

Answer: On a coordinate plane, the quadrants are defined as follows:

Quadrant I: x-coordinate is positive, y-coordinate is positive

Quadrant II: x-coordinate is negative, y-coordinate is positive

Quadrant III: x-coordinate is negative, y-coordinate is negative

Quadrant IV: x-coordinate is positive, y-coordinate is negative

Based on this information, the following statements are true:

A is in Quadrant I, because its coordinates are (2, 3) and both x and y are positive.

D is in Quadrant III, because its coordinates are (negative 3, negative 3) and both x and y are negative.

F is on the x-axis, because its y-coordinate is 0.

G is on the y-axis, because its x-coordinate is 0.

The other statements are not true:

B is not on the x-axis, because its y-coordinate is not 0.

C is not in Quadrant I, because its x-coordinate is negative.

E is not on the x-axis, because its y-coordinate is not 0.

Step-by-step explanation:

eight rooks are placed in distinct squares of an 8 x 8 chessboard, with all possible placements being equally likely. in how many different ways can all the rooks be placed so that they are safe from each other i.e, that there is no row or column with more than one rook?

Answers

There are 5040 ways to place 8 rooks on an 8 x 8 chessboard.

A permutation is a systematic grouping of objects or numbers. Combinations allow you to select objects or numbers from a group of items without having to worry about the order in which they were collected. Contrary to permutations, when selecting components from a collection using the combination method, the order of selection is unimportant.

There are 8! ways to place 8 rooks on an 8 x 8 chessboard such that no two rooks are in the same row or column.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

   = 5040

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The revenue (R) made on the sale of tickets is a function of the price (p) of each
ticket, where R(p) = -40p^2 +400p-640

Pls help 60 points

Answers

To earn at least $640 in revenue, the ticket prices should be $8 or $2

What is an Equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket  R(p) = -40p^2 +400p-640

p² -10p +16

Factorizing the function to have

(p²-8p)-(2p+16)

p(p-8)-2(p-8)

p-2 = 0 or p-2=0

This implies that

p=8 or p=2

p = $8 or p = $2

To earn at least $640 in revenue, the ticket prices should be $8 or $2.

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