How do I solve this step by step

Answer:

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) if you're into fractions

The probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%

To determine the probability, we can use Bayes' theorem. Let's assume that we have 10,000 patients tested. Out of these, 4% (or 400) patients will be infected with avian influenza, and the remaining 96% (or 9,600) will not have the infection.

Out of the 400 infected patients, the test will correctly identify 98% of them, which is 392 patients. However, there will be a false positive rate of 1% among the 9,600 non-infected patients, which is 96 patients.

So, the total number of patients testing positive will be 392 + 96 = 488. Out of these, 392 patients are truly infected, which gives us the probability of a patient testing positive being infected as 392/488 ≈ 0.803.

Therefore, the probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%.

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9514 1404 393

Answer:

  28 hours

Step-by-step explanation:

Let x represent Jack's time. Then Jill's is x-7. Together their rate of carrying water in hills per hour is ...

  1/x + 1/(x -7) = 1/12

Multiplying by 12x(x -7) gives ...

  12(x -7) +12x = x(x -7)

  x^2 -31x +84 = 0 . . . . . subtract the left side and simplify

  (x -3)(x -28) = 0 . . . . . . . . . . factor

  x = 3  or  x = 28 . . . . . . . . . . x-values that make the factors zero

We know the times must be longer than 12 hours, so the value x=3 is extraneous for this problem.

It takes Jack 28 hours to carry the cooler of water up the hill working alone.

Answer:

b=2/3

Step-by-step explanation:

Let's solve the equation step by step

( b ) = 2/3

Remove bracket

b=2/3

Answer:

T is the cost

Step-by-step explanation:

by looking at the question you can see the answer.

Shor's Algorithm Efficiency of Shor’s algorithm in the general case, when r does not divide 2, is calculated as follows:

Shor's algorithm is an effective quantum computing algorithm for factoring large integers. The algorithm calculates the prime factors of a large number, using the modular exponentiation, and quantum Fourier transform in a quantum computer.In this algorithm, the calculation of the quantum Fourier transform takes O(N2) quantum gates, where N is the number of qubits required to represent the number whose factors are being determined.

To calculate the Fourier transform efficiently, the number of qubits should be set to log2 r. The general form of Shor's algorithm is given by the following pseudocode:

1. Choose a number at random from 1 to N-1.

2. Find the greatest common divisor (GCD) of a and N. If GCD is not 1, then it is a nontrivial factor of N.

3. Use quantum Fourier transform to determine the period r of f(x) = a^x mod N. If r is odd, repeat step 2 with a different value of a.

4. If r is even and a^(r/2) mod N is not -1, then the factors of N are given by GCD(a^(r/2) + 1, N) and GCD(a^(r/2) - 1, N).

The efficiency of the algorithm is determined by the number of gates needed to execute it. Shor's algorithm has an exponential speedup over classical factoring algorithms, but the number of qubits required to represent the number whose factors are being determined is also exponentially large in the number of digits in the number.

In the general case when r does not divide 2, the efficiency of Shor's algorithm is reduced. However, the overall performance of the algorithm is still better than classical factoring algorithms.

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The statements are A. ∠x and ∠y are supplementary angles, B. ∠w and ∠z are a linear pair.

Angle is the void between two surfaces or lines that meet. The angle is also expressed in degrees. The angle is 360 degrees for a full rotation.

Supplementary angle: When two angles add up to 180 degrees, they are considered to be supplementary angles.

Corresponding angle: The third line if two lines are parallel. Equal angles are formed by the matching angles.

Angles that are vertically opposed to one another are equal when two lines intersect.

Alternate angle: When two lines are parallel, a third line forms a z-angle, which is an equal angle to the parallel lines.

Complementary angle - When two angles add up to 90 degrees, they are considered to be complementary angles.

Angle x and angle y are supplementary angles. True.

Angle w and angle z are a linear pair. True.

Angle w and angle y are adjacent angles. False.

Angle x and Angle z are vertical angles. False.

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We know that the adjacent side is 4 and the opposite side is 3. SO cot(θ) = 4/3.

To find cot(θ), we need to use the coordinates of the point where θ intersects the unit circle, which are (cos(θ), sin(θ)). In this case, we are given that the point is (4/5, 3/5), since it lies on the unit circle.

Cotangent is the reciprocal of the tangent function, so we can find cot(θ) by dividing the adjacent side of the triangle by the opposite side.

From the given coordinates, we know that the adjacent side is 4 and the opposite side is 3. So, cot(θ) = adjacent/opposite = 4/3

Therefore, cot(θ) = 4/3.

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The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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Answer:

4 CD's cost $30.40, so one CD costs:

80% of the regular price is $7.60

If the regular price is r, we have:

3 CD's at regular price cost:

Since $25 < $28.5, we can't buy 3 more CD's.

So in this question we say if N is a known positive injured For what value of K. is the integral from one decay of X to the power of n minus one dx Equal to one over N. Well let's see if I have the integral from one. Check X X to the power of N -1 DX. What do I do to evaluate that definite interval? The first thing I do is I add one to my exported X to the N power and then I divide by that new exposure. So X to the end over it. And I'm going to evaluate this On the interval from 1 to K. And so that's giving me okay to the end power over in minus 1 to the end power over in equals one over it. Now, certainly one to the power of N is just one. So I'm getting K to the power of N over and -1 over N equals one over N. Now I'll add one over end to each side so that I'm getting K to the N over N equals two over N. Now I multiply both sides by N. That gives us thank you K. To the power of N equals two. And now my goal is to solve for K. Right? So I'm going to have to raise both sides to some power to get rid of that ends power I can raise both sides to the power of one over N. I'm going to raise both sides To the power of one over N. The reason is when you have a power to a power, what do you do to those exponents? You multiply those expose right End Times one over N is just one. And so here on the left, I'm getting just K to the first power and this is equal to chew to the power of one of ren answer choice. D. My final answer. Another way that you might do it, you might take the route of each side. But then when you take the root of something, that's the same as raising it to the power of one over and as well. And so K two the K equals two to the power of one over N. We got our anti derivative plugged in our limits of integration and solve for K. That was our strategy. Hopefully that was helpful. Have a good rest of your day.

Answer:

Subtract 11 from each number.

Step-by-step explanation:

-26,-37,-48,-59,-70,-81,-92,-103,-114,-125,-136,-147,-158,-169,-180

So on and so forth.

Hope this helps! Pls give brainliest!

Answer:

Length: 6, Width: 2

Step-by-step explanation:

6 times 2 is 12 and 6 + 6 + 2 + 2 = 16.

Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

Answer:

\(y = x + 3\)

Step-by-step explanation:

Y in math is usually referred as the output.

X is usually the input.

In other words,

y is 3 more greater than x.

In other words,

\(y = x + 3\)

Answer:

yes

Yes; the graph passes the vertical line test.

Step-by-step explanation:

if it were a graph of a circle it would not pass

the vertical line test because the vertical line would touch at least 2 points

graph is probably a cubic function

something like

y = x^3-4x+6

The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of water in gallon after x hours.

The y intercept is (0, 175), hence b = 175.

The line passes through (0, 175) and (7, 0), hence::

Slope = (0 - 175) / (7 - 0) = -25

The equation is y = -25x + 175

The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

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In order to make appropriate product recommendations, the first step should be to understand the customer's needs and preferences. Based on that, the consultant can suggest products that are most suitable for the customer.

For instance, if a customer is looking for a laptop for gaming, the consultant can suggest laptops with high-end graphics and processing capabilities. Similarly, if a customer is looking for a phone with a good camera, the consultant can suggest phones with high-quality camera lenses.

λ = arrival rate = 30 customers per hour (since 2 customers per minute)

μ = service rate = 6 customers per hour (since 10 minutes per customer)

ρ = λ/μ = 5

Lq = ρ²/(1 - ρ) * μ = 83.3333

L = Lq + λ/μ = 88.3333

Wq = Lq/λ = 2.7778 minutes

W = Wq + 1/μ = 11.7778 minutes

p0 = 1 - ρ = 0.8

Using the above performance measures, we can make the following observations:

1. The arrival rate (λ) is higher than the service rate (μ). This indicates that the system is in a state of congestion and that customers may experience long wait times.

2. The average number of customers in the queue (Lq) is quite high at 83.3333. This means that there is a large number of customers waiting in the queue, which can lead to frustration and dissatisfaction.

3. The average number of customers in the system (L) is also quite high at 88.3333. This implies that the system is operating at a high level of congestion and that customers may face long wait times.

4. The average time a customer spends waiting in the queue (Wq) is 2.7778 minutes. This means that customers may have to wait for nearly 3 minutes on average before they can be served.

5. The average time a customer spends in the system (W) is 11.7778 minutes. This is a fairly long time, which can lead to frustration and dissatisfaction among customers.

Based on the above observations, it is recommended that the consultant take steps to reduce the wait times for customers. This can be achieved by increasing the number of service counters or by optimizing the service process to reduce the time taken to serve each customer. By doing so, the consultant can improve customer satisfaction and loyalty.

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Simple random sampling is usually done without replacement, which means that a subject cannot be selected for a sample more than once. So, the correct answer is A.

Simple random sampling is a statistical method of obtaining a sample from a population in which every individual in the population has an equal chance of being selected.

In other words, the sample is drawn randomly and without any bias.

The sampling process involves the selection of a group of people or items from a larger population, based on a set of criteria that is typically random.There are two types of simple random sampling, with and without replacement.

In sampling without replacement, each member of the population is only sampled once.

This is because the selection of one individual removes it from the population, and it cannot be selected again. In sampling with replacement, each member of the population can be sampled multiple times because the selection of an individual does not remove it from the population.

However, simple random sampling is usually done without replacement, which means that a subject cannot be selected for a sample more than once.

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Using a confidence level of 95%, the margin of error for the mean GRE score of graduate students is approximately 14.15. The upper bound of the confidence interval is 314.15, and the lower bound is 285.85. This means we are 95% confident that the true population mean GRE score falls between these two values.

To calculate the margin of error, we use the formula:

Margin of Error = Z * (Standard Deviation / √n)

In this case, the standard deviation is 47 and the sample size (n) is 50. The Z-value for a 95% confidence level is approximately 1.96. Plugging in these values, we get:

Margin of Error = 1.96 * (47 / √50) ≈ 14.15

This means that the sample mean of 300 is expected to be within 14.15 points of the true population mean GRE score.

The confidence interval is then constructed by adding and subtracting the margin of error from the sample mean:

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

= (300 - 14.15, 300 + 14.15) = (285.85, 314.15)

Interpreting the confidence interval, we can say that we are 95% confident that the true population mean GRE score for graduate students falls within the range of 285.85 to 314.15. This means that if we were to repeat the sampling process and calculate the sample mean GRE scores multiple times, approximately 95% of the confidence intervals obtained would contain the true population mean.

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Answer:

C)

Step-by-step explanation:

The answer is infinitely many solutions

because a1/a2 = b1/b2 = c1/c2.

Hope it helps :)

If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.

The pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

To determine the sample size needed for estimating a proportion, we can use the formula:

n = (Z^2 * p * q) / E^2

where:

n is the sample size

Z is the z-value corresponding to the desired confidence level (96 percent confidence corresponds to a z-value of approximately 1.75)

p is the estimated proportion (since we don't have an initial estimate, we can assume a conservative estimate of 0.5)

q is 1 - p (complement of the estimated proportion)

E is the desired margin of error (0.02)

Plugging in the values, we have:

n = (1.75^2 * 0.5 * 0.5) / 0.02^2

n ≈ 2627

Therefore, the pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

This sample size calculation ensures that the estimate of the true proportion will have a margin of error (E) of 0.02 or less, providing a high level of confidence (96 percent) in the accuracy of the estimate.

In conclusion, by using the formula for sample size estimation, the pollster should survey 2627 voters to achieve a 96 percent confidence level with a margin of error of 0.02 when estimating the true proportion of U.S. voters opposing capital punishment.

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After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

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