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These might be easy, just try

The probability that a person who tests positive actually has the disease is 3.8%.

The probability that a person who tests positive actually has the disease can be computed using Bayes' Theorem. Let D be the event that a person has the disease, and T be the event that a person tests positive.

Then, using Bayes' Theorem:

P(D|T) = P(T|D) * P(D) / [P(T|D) * P(D) + P(T|~D) * P(~D)]

where P(T|D) is the true positive rate (1 - false negative rate), P(T|~D) is the false positive rate, and P(D) is the incidence rate of the disease.

Substituting the given values:

P(D|T) = (0.996 * 0.002) / [(0.996 * 0.002) + (0.05 * 0.998)]

= 0.038

Therefore, the probability that a person who tests positive actually has the disease is 3.8%.

This calculation illustrates the importance of considering both the false positive and false negative rates when interpreting diagnostic test results.

A positive test result may not necessarily mean that a person has the disease, especially if the false positive rate is relatively high. In this case, the false positive rate of 5% means that 5 out of 100 people who do not have the disease would test positive, leading to a relatively low probability of actually having the disease given a positive test result.

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Answer:

510 minutes

Step-by-step explanation:

\(\frac{8.5 hours}{1}\) x \(\frac{60 minutes}{1 hour}\) You can cancel words just like you can cancel numbers

\(\frac{8.5}{1}\) x \(\frac{60 minutes}{1}\) = \(\frac{510 minutes}{1}\)

Which is the same at 510 minutes

Answer: 510

Step-by-step explanation:

There are 60 minutes in 1 hr so you would multiply 8.5 hours by 60 minutes.  

60 x 8.5 = 510

the answer is 510.

Hope this helped! : )

Answer:

173

Step-by-step explanation:

Answer:

173

Step-by-step explanation:

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

b = 64°

Step-by-step explanation:

The sum of interior angles of a polygon is 180°(n - 2), where "n" is number of sides.

~~~~~~~~~~

180°(6 - 2) = 720°

114° + (b + 49°) + (2b - 25°) + 142° + (b + 39°) + (3b - 47°) = 720°

7b + (114° + 49° - 25° + 142° + 39° - 47°) = 720°

7b + 272° = 720°

7b = 448°

b = 64°

The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

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Step-by-step explanation:

the sum of the angles = 360

8x+2 + 2x + 14 + 3x -4 +5x + 5 = 360

18x +17 = 360

18x = 343

x = 19.1

angles are:

154.8

52.2 smallest (2x + 14)

53.3

105.5

The probability that the average household income of 4 randomly selected US households is greater than $50000, given a right-skewed distribution with a mean of $40000 and a standard deviation of $20000, is approximately 0.1587 or 15.87%.

To calculate the probability that the average household income of 4 randomly selected US households is greater than $50000, we can use the properties of the sampling distribution of the mean.

Given that the US household income distribution is right-skewed with a mean of $40000 and a standard deviation of $20000, we can assume that the individual household incomes are independent and normally distributed.

To find the probability, we need to calculate the z-score for the given threshold of $50000 and then find the corresponding probability using the standard normal distribution.

First, we calculate the standard error of the mean (SEM) using the formula SEM = (standard deviation) / √n, where n is the sample size. In this case, n = 4.

SEM = $20000 / √4 = $10000

Next, we calculate the z-score using the formula z = (x - μ) / SEM, where x is the threshold value ($50000) and μ is the population mean ($40000).

z = ($50000 - $40000) / $10000 = 1

Now, we need to find the probability of obtaining a z-score greater than 1 from the standard normal distribution. This can be done by referring to the z-table or by using a statistical software.

From the z-table or using a software, we find that the probability of obtaining a z-score greater than 1 is approximately 0.1587.

Therefore, the probability that the average household income of 4 randomly selected US households is greater than $50000 is approximately 0.1587, or 15.87%.

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Answer:

64 i think

Simple explanation:

find the missing angle of the triangle with two given angles:

add 36 and 84 to get 120

subtract 120 from 180 and you will get 60

subtract 60 from 90 to find one of the angles in the other triangle

so now you have that the other triangle has an angle of 86 and another angle of 30

add 86 and 30 to get 116

subtract 116 from 180 to get the "? angle"

you should get 64

Another possible explanation:

extend the line that contains the degrees 36 and 84

this will make a third, smaller triangle

this triangle has two measure that are easy to find and that is 96 and 54

when you add those together, you get 150

subtract 150 from 180 to get 30

30 degrees is the measure of the smaller angle at the 90 degrees symbol

now add 30 and 86 together to get 116

subtract that from 180 to get 64

Answer:

speed is 35 I think it is answer

solution

here,

15÷2

7.5

The correct description of Standard deviation is option A: the standard deviation of all samples of size.

Standard deviation is a measure of the dispersion of a set of data from its mean. It provides information about how spread out the data is from the average value. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is used in various fields like finance, physics, and statistics. It is important to note that the larger the standard deviation, the more spread out the data is and the more diverse the samples are. Therefore, it is a useful tool in understanding the variability of data.

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You want to use the summarize() and mean() functions to find the mean rating for your data. add the code chunk that lets you find the mean value for the variable rating. 1 reset. the mean rating is 3.185933

To determine the mean value for the variable Rating, you must add the code snippet summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of code:

You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().

In this instance, you compute the mean value for the variable Rating using the mean() function.

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7 elements will be compared to find 25 using linear search

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The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Given :

Andy is buying a car. He negotiated a 7% decrease on a 6 500 car. He will pay due full balance in 12 equal monthly payments.

To Find :

Due amount paid each month.

Solution :

Amount in which he buy the car :

\(A= 6500-6500\times \dfrac{7}{100}\\\\A = \$6045\)

Now, amount he has to pay per month :

\(P = \dfrac{A}{12}\\\\P=\dfrac{6045}{12}\\\\P=\$503.75\)

Hence, this is the required solution.

Answer:

5/2

Step-by-step explanation:

25 and 10 so 25/10 or 5/2 or 2 1/2

Reverse engineer

2*2-3=1

so its 1

Answer:8/3x

Step-by-step explanation:tell if this didnt work

Answer: I think is close and reopen the program

Step-by-step explanation:

The option for problem is Close and reopen the program.

Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components.  A software program is a set of instructions that tell a computer's hardware how to do something.

System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.

Given Software on computer is taking a long time to load,

There are a few simple solutions for programs that take a long time to open:

Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.

Hence Verify that each and every option for utilizing the software is functional,  Close and reopen the program.

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A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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In a National Drug Code, the third set of digits, which consists of two numbers, represents the product strength and dosage form of the drug.

The National Drug Code (NDC) is a unique identifier assigned to drugs in the United States. It is a three-segment code that includes the labeler code, the product code, and the package code. Each segment provides specific information about the drug.

The third set of digits in the NDC represents the product strength and dosage form of the drug. These two numbers indicate the concentration or potency of the active ingredient in the drug and the specific form in which it is formulated, such as tablets, capsules, liquid, or injections.

For example, if the third set of digits is "10-20", it might indicate that the drug has a strength of 10 milligrams per dosage unit and is in the form of tablets. The specific interpretation of the digits may vary depending on the drug and the standards set by regulatory authorities.

Therefore, option (a) is the correct answer: The third set of digits in a National Drug Code represents the product strength and dosage form of the drug.

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Answer:

Yes they can.

The only time they would have to be different lengths is if it was a square

We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.

First of all, we will find the ratio between sides of rectangle M and N using proportions.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}\)

Now we will take cube root on right side to find length in cm.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}\)

Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.

To find height of rectangle M, we will divide side of rectangle N by 2.

\(\text{Height of rectangle M}=\frac{18}{2}=9\)

Therefore, height of rectangle M is 9 cm.

Answer:

$24

Step-by-step explanation:

462/38.5 = 12

12 * 2 = 24

Answer:

Options (5) and (6)

Step-by-step explanation:

From the picture attached,

In right triangle ΔPSQ and ΔPSR,

PS ≅ PS [By reflexive property]

PQ ≅ PR [Given]

ΔPSQ ≅ ΔPSR [By HL property of congruence]

Therefore, QS ≅ SR [CPCTC]

(6n + 3) = (4n + 11)

6n - 4n = 11 - 3

2n = 8

n = 4

QS = (6n + 3)

     = 6×4 + 3

     = 27

SR = (4n + 11)

     = 4×4 + 11

     = 16 + 11

     = 27

QR = QS + SR

     = 27 + 27

     = 54

Therefore, Options (5) and (6) are the correct options.

Answer: False

Step-by-step explanation:

Discrete means secret and that data is not discrete as it can be acess by anyone.

True. The amount of rainfall in your state last month is an example of discrete data.

The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.

Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.

Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.

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Answer:

-143

Step-by-step explanation:

you plug -7 in the x variables

-4(-7)^2-7(-7)+4 = -143