What is the unit rate? I need help.

Answer:

To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:

P(D|P) = P(P|D) * P(D) / P(P)

where:

P(D|P) is the probability of having the disease given a positive test result

P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case

P(D) is the incidence rate of the disease, which is 0.4% = 0.004

P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02

Plugging in the values, we get:

P(D|P) = 0.92 * 0.004 / 0.02 = 0.184

Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.

The solution of the linear equation y =  15 x + 9 and y = 1/2 x - 20 is

x = -2

y = -21

The linear equation can be solved by graphical method to give the solution. The graph is attached

(-2, 21)

Using elimination method we have

y =  15 x + 9

y = 1/2 x - 20

subtracting will result to

0 = 14.5x + 29

-14.5x = 29

isolating x

x = 29 / -14.5

x = -2

substituting x = -2 into y =  15 x + 9

y =  15 (-2) + 9

y = -30 + 9

y = -21

Hence the solution is x = -2 and y = -21

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The equations where b = 11 are A, B, C, D, and E. All of these equations are true when b = 11.

To point an equation on a graph, first, determine the equation and its variables. Then, plot the points of the equation on the graph by substituting the variable values and plotting the corresponding points. To find the equation’s slope, calculate the rise and run of two points on the graph. The slope is used to draw a line of best fit. Finally, draw a line that intersects the points of the equation and the line of best fit. This will be the equation’s graph.

Choice A states that 2b = 2112, b, equals, 211, which means that 2 times 11 is equal to 21. Choice B states that b + 18 = 7b, plus, 18, equals, 7, which means that 11 plus 18 is equal to 7. Choice C states that 77 = 7b77, equals, 7, b, which means that 77 divided by 7 is equal to 11. Choice D states that 9 = b − 29, equals, b, minus, 2, which means that 11 minus 2 is equal to 9. Finally, Choice E states that 11 = 33 ÷ b11, equals, 33, divided by, b, which means that 33 divided by 11 is equal to 11. Therefore, all of these equations are true when b = 11.

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Answer:

We can use the given equation to solve for the advertising expenditures needed to achieve the target sales volume of $125,000:

125 = 45.15 + 0.54x

where x is the advertising expenditures in thousands of dollars.

Simplifying the equation:

0.54x = 125 - 45.15

0.54x = 79.85

x = 79.85 / 0.54

x ≈ 147.69

Therefore, the sales manager should allocate about $147,690 for advertising in the budget to achieve the target sales volume of $125,000.

Step-by-step explanation:

Step-by-step explanation:

nothimg there to solve...

The correct answer for the graph change between point A and point B is,

⇒ The graph increases.

A diagram showing relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Now it is given that there are two points on the graph,

Point A and point B.

Now, in the first case the graph increases from (0,0) to Point A.

Here graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.

In the second case the graph continues to increases through Point B.

Here also, graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.

Hence, the graph is increases from (0,0) → Point A →Point B.

Therefore, the correct answer is- The graph increases.

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How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.

The best interpretation of the y-intercept of the linear function is given as follows:

D. The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The variables for this problem are given as follows:

Hence option D gives the correct interpretation of the intercept of the line.

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The area of the composite figure is equal to 63.270 square feet.

In this problem we need to compute the area of a composite figure, which is the result of adding the areas of a semicircle and a right triangle. The area formulas of the figures mentioned above are introduced below:

Semicircle

A = 0.5 · r²

Right triangle

A = 0.5 · b · h

Where:

If we know that r = 5 ft, b = 8 ft and h = 6 ft, then the area of the composite figure is:

A = 0.5π · (5 ft)² + 0.5 · (8 ft) · (6 ft)

A = 12.5π + 24 ft²

A = 63.270 ft²

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The slope of the equation is -2/3 and the y-intercept is 14/3.

A y-intercept is the place where a line or curve crosses, or touches, the y-axis the vertical, often darkened line in the center of a graph.

Since, the equation is not clear, let us consider the equation, 2x+3y = 14

The slope intercept form of a line is given by =

y = mx+c, where m is the slope and the c is the y-intercept.

Converting the assumed equation into slope intercept form,

2x+3y = 14

3y = -2x+14

y = -2x/3+14/3

Here we get the slope = -2/3 and y-intercept = 14/3

Hence, the slope of the equation is -2/3 and the y-intercept is 14/3.

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Check the picture below.

Answer:

Step-by-step explanation: true

Answer: $17,788.20

Step-by-step explanation:

To calculate the monthly payment, we can use the loan formula:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P is the monthly payment

A is the loan amount, which is the sale price of the car ($16,000) in this case

r is the monthly interest rate, which is the annual percentage rate (APR) divided by 12 (4% / 12 = 0.003333...)

n is the total number of payments, which is the number of years of the loan multiplied by 12 (5 years * 12 = 60)

Substituting these values into the formula, we get:

P = (0.003333... * $16,000) / (1 - (1 + 0.003333...)^(-60))

P ≈ $296.47

Therefore, the monthly payment is approximately $296.47, which is within the budget of $300/month.

To calculate the total cost of the car after the loan has been paid in full, we can multiply the monthly payment by the total number of payments (60) and add the original sale price of the car:

Total cost = P * n + A

Total cost = $296.47 * 60 + $16,000

Total cost = $17,788.20

Therefore, the total cost of the car after the loan has been paid in full is approximately $17,788.20.

Answer:1.111

Step-by-step explanation:

Let's use the variable W to represent the percent of top earners who are women.

According to the problem statement, the percent of top earners who are men is more than four and a half times the percent of top earners who are women. Mathematically, we can write this as:

M > 4.5W

Additionally, the percent of top earners who are men is less than five times the percent of top earners who are women. This can be written as:

M < 5W

We can combine these two inequalities into a compound inequality:

4.5W < M < 5W

This means that the percent of top earners who are men is between 4.5 times and 5 times the percent of top earners who are women.

To solve for W, we can divide all three parts of the compound inequality by 4.5:

W < M/4.5 < W/0.9

Simplifying, we get:

W < 0.222M < 1.111W

Therefore, the percent of top earners who are women, W, must be less than 0.222 times the percent of top earners who are men, and also less than 1.111 times the percent of top earners who are women.

The response to the given question would be that As a result, there is a probability 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.

The sample mean's sampling distribution may be approximated using the central limit theorem as having a mean of 425 and a standard deviation of[tex]80\sqrt(50) = 11.31.[/tex]

z is equal to (x - mu) / (sigma / sqrt(n))

where n is the sample size, x is the sample mean, mu is the population mean, sigma is the population standard deviation.

When we enter the values, we obtain:

[tex]z = (415 - 425) / (80\sqrt(50)) = -2.23[/tex]

As a result, there is a 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.

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Answer:

1.8

Step-by-step explanation:

6 is 10% of 60, which means 3% of 60 is 1.8.

The histogram has a longer right tail since skewed right side

The distribution of data is positively skewed distribution

A histogram with a longer right tail indicates that the data is skewed to the right, which means that the majority of the data points are on the left side of the graph, and there are fewer data points on the right side. This is also known as a positively skewed distribution.

In a positively skewed distribution, the mean is typically greater than the median, and the mode is less than the median. This is because the presence of outliers on the right side of the graph can pull the mean towards higher values, while the median remains closer to the bulk of the data.

The graph that represents this is D.

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In this case, the boxplot is option A, which shows the box extending from 130 to 165.5 mBq, with a line segment drawn through the box at 160.75 mBq. The whiskers extend from 114 to 201 mBq, with no outliers.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The problem asks us to construct a boxplot and identify the 5-number summary of a set of data. The data represents the amounts of strontium-90 (in millibecquerels, or mBq) in a sample of baby teeth from residents born after 1979. The data is as follows:

124, 127, 131, 135, 138, 142, 142, 143, 147, 150, 154, 156, 157, 160, 163, 168, 170, 171, 174, 181

To construct the boxplot, we need to first find the 5-number summary, which consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. We can find these values by putting the data in ascending order and then using the following formulas:

Q1 = median of the lower half of the data

Q2 = median of the entire data set

Q3 = median of the upper half of the data

Using these formulas, we find the 5-number summary to be:

Minimum value: 124 mBq

Q1: 138 mBq

Median: 150 mBq

Q3: 168 mBq

Maximum value: 181 mBq

We can now use this information to construct the boxplot. The horizontal axis represents the values in the data set, and the vertical axis represents the frequency or density of those values. The boxplot consists of a box that extends from Q1 to Q3, with a line segment drawn through the box at the median (Q2). Whiskers extend from the top and bottom of the box to the minimum and maximum values, respectively, unless there are outliers. Outliers are plotted as individual points beyond the whiskers.

Therefore, In this case, the boxplot is option A, which shows the box extending from 130 to 165.5 mBq, with a line segment drawn through the box at 160.75 mBq. The whiskers extend from 114 to 201 mBq, with no outliers.

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We can state this by responding to the provided question As a result, the function's amplitude is 2 and its period is.

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The sine function of the form f(x) = -2sin(x) is an amplitude-scaled sine function.

The sine function's amplitude is represented by the coefficient, which in this example is -2. Hence, the function's amplitude is 2.

The equation T = 2/, where is the angular frequency, yields the period of the function. The angular frequency of a sine function is given by = 2/T.

With the function f(x) = -2sin(x) substituted, we get:

ω = 2π/T

Sin(x + ) = -2sin(x)

To solve for T, we obtain:

T = 2π/ω = 2π/(-2) = -π

We use T's absolute value as the period cannot be negative, making the function's period T =.

As a result, the function's amplitude is 2 and its period is.

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The right angles would be named as:

3. ∠PNL 4. ∠PNO

Right angles can be named in a few different ways, depending on the context in which they are being used. One common way is:

Using three points: use the names of the three points that form the angle, with the vertex of the angle in the middle. For example, if the right angle is formed by the line segments AB and BC, you could name it angle ABC.

The sign "∠" means angle, therefore, it can be named also as ∠ABC.

Thus, the right angles in the given diagram can be named accordingly as:

∠PNL and ∠PNO

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The experimental probability of choosing a nickel based on 13 trials would be 4 / 13

The experimental probability can be found by the formula ;

= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials

Probability of picking a Nickel - 1 / 4

Number of trials - 13 trials

The experimental probability for Landon picking a Nickel on the 13th trial is :

= ( ( 1 / 4 x 12 ) + 1 ) / 13

= ( 3 + 1 ) / 13

= 4 / 13

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According to the information, the best measure to describes the typical length of time that a tent will stay inflated is mean (average).

To identify the option that corresponds to the best measure to describes the typical length of time that a tend te stay inflated we have to analyze data and then we have to select the best option. In this case the most adequated measure is mean because it allow is to establish the average of time that a tent stay inflated. According to the above, this is the mean of the time that a tent will stay inflated

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Answer: no

Step-by-step explanation: an integer is a number that is not a fraction or a decimal

Answer:

nope

Step-by-step explanation:

it's a decimal, so by definition, it's not an integer.

Answer:

7b + 29 ≤ -26

Step-by-step explanation:

Given information:

The sum of a number times 7 and 29 is at most -26.

Sum- is referring to Addition ( + )

Times- is referring to Multiplication ( × )

At most - is referring to maximum. The maximum amount that it can get. Which ≤ means less than or equal to which refers to "At Most"

Hence, the inequality is

7b + 29 ≤ -26

RevyBreeze

The spread of the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviation is approximately 1.768.

We must first determine the mean (average) of the numbers in order to use the standard deviation to determine the spread (i.e., variability) of the set of data.

By adding up all the numbers and dividing by the total number of numbers, the mean is calculated:

mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8

= 19 / 8

≈ 2.375

The difference between each number and the mean is then determined:

2 - 2.375 = -0.375

1 - 2.375 = -1.375

4 - 2.375 = 1.625

3 - 2.375 = 0.625

5 - 2.375 = 2.625

1 - 2.375 = -1.375

1 - 2.375 = -1.375\s2 - 2.375 = -0.375

Then, each of these discrepancies is squared:

(-0.375)^2 = 0.140625

(-1.375)^2 = 1.890625

(1.625)^2 = 2.640625

(0.625)^2 = 0.390625

(2.625)^2 = 6.890625

(-1.375)^2 = 1.890625

(-1.375)^2 = 1.890625

(-0.375)^2 = 0.140625

The variance is then calculated as the average of these squared differences:

variance is equal to 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).

Lastly, we calculate the standard deviation by taking the square root of the variance:

(3.125) 1.768 is the standard deviation.

As a result, using standard deviation, the range of the digits 2, 1, 4, 3, 5, 1, 1, 2 is almost 1.768.

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The spread οf the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviatiοn is apprοximately 1.768.

We must first determine the mean (average) οf the numbers in οrder tο use the standard deviatiοn tο determine the spread (i.e., variability) οf the set οf data.

By adding up all the numbers and dividing by the tοtal number οf numbers, the mean is calculated:

mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8

= 19 / 8

≈ 2.375

The difference between each number and the mean is then determined:

2 - 2.375 = -0.375

1 - 2.375 = -1.375

4 - 2.375 = 1.625

3 - 2.375 = 0.625

5 - 2.375 = 2.625

1 - 2.375 = -1.375

[tex]1 - 2.375 = -1.375\s2 - 2.375 = -0.375[/tex]

Then, each οf these discrepancies is squared:

(-0.375)² = 0.140625

(-1.375)² = 1.890625

(1.625)² = 2.640625

(0.625)² = 0.390625

(2.625)² = 6.890625

(-1.375)² = 1.890625

(-1.375)² = 1.890625

(-0.375)² = 0.140625

The variance is then calculated as the average οf these squared differences:

variance is equal tο 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).

Lastly, we calculate the standard deviatiοn by taking the square rοοt οf the variance:

(3.125) 1.768 is the standard deviatiοn.

As a result, using standard deviatiοn, the range οf the digits 2, 1, 4, 3, 5, 1, 1, 2 is almοst 1.768.

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Answer:

Rhombus and Square

Step-by-step explanation:

Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.

Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.

Answer:

Below

Step-by-step explanation:

The wedge shaped area is ABOVE (greater than)  and INCLUDES  y = 5x+2    AND  ABOVE (greater than ) y= -3x-2

See image below:

Therefore , the solution of the given problem of interest comes out to be  $882.75 monthly affordable mortgage amount recommended by a lending organisation .

To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.

Here,

We can use an internet mortgage calculator to determine the affordable monthly mortgage payment. With the provided data, we can determine the monthly mortgage payment to be $1,187.25 using a mortgage calculator.

Assume that Jamie Lee and Ross earn $8,000 per month in gross revenue.

Affordable debt amount

=>  $1,837.25 ($8,000 x 0.43)

=> $2,720 - $1,837.25

is an affordable mortgage sum.

=> $882.75 is an affordable mortgage sum.

This indicates that the $882.75 monthly affordable mortgage amount recommended by a lending organisation based on Jamie Lee and Ross's income.

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Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

here, we have,

The sum of an angle formed at a point is 360 degrees.

Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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The linear function that models the scatter plot is given as follows:

y = 7/8x + 6.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For the equation in this problem, we have that:

Hence the option that satisfies the sign of the slope and the intercept is given as follows:

y = 7/8x + 6.

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The center of dilation is located inside figure V.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Center of dilation is defined as the point which is fixed on a plane. All the points are dilated about this point.

This can be situated inside or outside the preimage and image.

We can find the position of center of dilation by connecting corresponding vertices of the image and preimage and extend the line up to which all the lines intersect.

The intersecting point is the center of dilation.

Using this concept, here, the center of dilation is inside V.

Hence the center of dilation is located inside the figure V.

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