A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 164 pounds requires 205
milligrams of medicine. What is the weight of a patient who requires 173.75 milligrams of medicine?
pounds

The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.

Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.

p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692

To four decimal places, the probability of A or B is 0.3269.

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If John is running a study on whether a particular SAT training class is effective, the students take the SAT before and after taking the class and the 95% confidence interval for the difference in scores (after - before) is [5, 15], then the statement which is NOT true is 'The training class caused a big improvement in the student's SAT scores.' The answer is option d.

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Answer:

for the first one it's going to be -30 and the second one is 10

Answer:

Can someone plz help me

Step-by-step explanation:

Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2

y = −0.75x + 9.5

y = 1.33x + 1.66

x = 8

Answer:

The expression represent the total amount of price money is 3x-150.

The expressions let X be the amount of money for first place. This means X-50 would be the amount of second place because each subsequent place after 1st wins $50 less than the previous place. Thirds, would be X-50-50 or X-100.

That is X = first place and each place after that is 50 less so 2nd place would be  x - 50 and third place would be x - 100.

Thus the total amount of money would be all of the values combined which is

x + (x - 50) + (x - 100)

Combinimg the like terms

What is the combinimg the like terms?

To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term.

x+x-50+x-100

3x-150

3x - 150

Therefore the option b is correct.

So the expression represent the total amount of price money is 3x-150.

Step-by-step explanation:

Answer:To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

Using linear function concepts, the correct option is given by:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the function is:

y = 3.6 - 0.3x.

The function has a initial GPA of 3.6(student who sends 0 texts), then for each text the student sends, the GPA falls by 0.3(slope of -0.3), hence the correct option is:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

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Answer:

9.102

Step-by-step explanation:

Assuming this means multiply to each other

1.11 x 8.2 = 9.102

Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

To solve the given differential equation using Laplace transformation, we'll follow these steps:

Step 1: Apply the Laplace transformation to both sides of the equation.

Taking the Laplace transform of the equation, we have:

L{du(t)/dt} + 2L{dy(t)/dt} + 17L{y(t)} = -10L{dt/dt}

Using the properties of the Laplace transform, we get:

sU(s) - u(0) + 2sY(s) - y(0) + 17Y(s) = -10/s

Step 2: Apply the initial conditions.

Since we have the initial condition dy(0)/dt = 0, and y(0) = 0, we can substitute these values into the equation:

sU(s) - u(0) + 2sY(s) - 0 + 17Y(s) = -10/s

sU(s) + 2sY(s) + 17Y(s) = -10/s

Step 3: Solve for Y(s).

Rearranging the equation to isolate Y(s), we have:

Y(s)(2s + 17) = -10/s - sU(s)

Y(s) = (-10 - sU(s))/s(2s + 17)

Step 4: Take the inverse Laplace transform.

To find the solution y(t), we need to take the inverse Laplace transform of Y(s). However, the given u(t) = e is not in Laplace transform form. Please provide the correct Laplace transform expression for u(t) so that we can proceed with finding the inverse Laplace transform and the solution to the differential equation.

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Theoretical flow time = 58 minutes

The complete question is

Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.

Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓

                                                                                      (10)Assembly→ Door

Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑

Roof path = 15 + 8 = 23

Base path = 3 + 10 + 12 =25

Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins

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Answer:

plan a = 3

plan b = 0.6

Step-by-step explanation:

The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

To perform u-substitution with indefinite integrals, follow these steps:

Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.

Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.

Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.

Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.

Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.

Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.

Let's illustrate these steps with an example:

Consider the integral ∫(2x + 3)² dx.

Identify a suitable substitution: Let u = 2x + 3.

Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.

Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).

Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.

Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.

Simplify and solve: Further simplify the expression if necessary to obtain the final result.

In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

You should place the computer at corner with 90°, you should place the bookshelf on the opposite side of the computer and the triangle is a right triangle.

Given that you are setting up a study area which is triangular with an entrance on one side.

You want to put your computer in the corner with the largest angle and the bookshelf on the longest side.

Also, one angle of the triangle is 90°.

So, since one angle is right angle, so the triangle is a right triangle,

We know that the largest angle in a right triangle is 90°.

So, you should place your computer in the corner which is measuring 90°.

Also, the largest angle is opposite of the largest side, so you should place the bookshelf on the side which is opposite to the computer.

Hence you should place the computer at corner with 90°, you should place the bookshelf on the opposite side of the computer and the triangle is a right triangle.

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Answer:

The answer is c

Step-by-step explanation:

18/6=3

23

Step-by-step explanation:

\(f(3) = {(3)}^{2} + 3(3) - 7 = 9 + 9 - 7 \\ = 18 - 7 = 11\)

\(g(3) = 5(3) - 3 = 15 - 3 = 12\)

\(f(3) + g(3) = 11 + 12 = 23\)

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Part A. When we have two chords that intercept at one of the exterme points of a circle, like this:

Then the relationship between the minor arc and the interior angle of the chords is:

therefore, if we substitute according to the given circle we have:

Therefore, angle a is 85°.

Part B. The angle formed by a tangent and a chord of a circle is half the the arc that is formed:

We have that:

Now, we substitute:

Therefore, "b" is 105°.

Part C. Given the following configuration:

The following relationship holds:

Now, we substitute the values according to the given circle:

Now, we divide both sides by "c":

Therefore, the value of "c" is 13.5

Part D. In the following configuration:

The following relationship holds:

Now, we substitute the values:

Solving the operations:

therefore, the angle "d" is 80 degrees.

Answer:

Let's define the following events:

- A: the event that a prime number is rolled.

- B: the event that an even number is rolled.

- C: the event that a one is rolled.

The probability of rolling a prime is 3/6 (since three sides of the die have prime numbers). Similarly, the probability of rolling an even number is 3/6. The probability of rolling a one is 1/6.

We want to find the expected value of the number of ones rolled, which we can do by finding the expected number of rolls until either two primes or two events are rolled. Let E be the expected number of rolls.

There are two cases to consider: either the first two rolls are both ones, or they are not.

If the first two rolls are both ones, then we have already rolled one of the two types of numbers we need, so we just need to keep rolling until we get the second type. The probability of this happening is (3/6)^2 = 1/4, and the expected number of rolls, in this case, is E+2 (since we have already rolled two ones).

If the first two rolls are not both, then we need to keep rolling until we get two primes or two events. Let P be the expected number of rolls until this happens.

If the first roll is one, then the probability of the second roll being a prime or even is 3/5 (since there are three primes or evens left out of five possible outcomes). In this case, we would need to roll one more time to get the second number of that type, so P = 1 + (3/5)E.

If the first roll is prime or even, then the probability of the second roll being the same type of number is 2/5. In this case, we would need to roll one more time to get the second number of that type, so P = 1 + (2/5)P. Solving this equation gives P = 2.5.

So we have E = 1/4(E+2) + 3/4(2.5), which simplifies to E = 7/3.

Therefore, the expected number of ones rolled is E-2 = 1/3.

Step-by-step explanation:

The normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

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There are 15 + 12 = <<15+12=27>>27 sixth and seventh-grade members.

The total number of members is 15 + 12 + 13 = <<15+12+13=40>>40.

The fraction of members that are either sixth- or seventh-grade members is 27/40.

To convert this to a percentage, we multiply by 100: 27/40 × 100% = 67.5%

Therefore, the answer is (C) 67.5%.

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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Answer:

extra 15% corn.

.15 ⋅ 1700 = 255

You would have to add 255 pounds of corn

Not sure if its right--

There is no significant evidence that the mean hemoglobin level is higher among breast-fed babies.

Given :

Let μ B , μ F μB, μF be the mean of breast fed and formula fed infants respectively. To test the hypothesis that there is a difference in hemoglobin level of the population of infants who are breast-fed and formula-fed is formulated as :

H o : μ B − μ F = 0

H a : μ B − μ F ≠ 0

S^2 = ( 23 − 1 ) ( 1.7 )^2 + ( 19 − 1 ) ( 1.8 )^2 / 23 + 19 - 2

S = 1.746

The test statistic is given as :

t = ( 13.3 − 12.4 ) − ( 0 ) / 1.764 * √1/23 + 1/19

= 1.646

Now the P-value is greater than the test significance value 0.05, and hence the null hypothesis cannot be rejected at 0.05 significance level.

Therefore, there is no difference in the population means between breast-fed infants and formula-fed infants .

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Full question :

A study of iron deficiency among infants compared samples of infants following different feeding regimens. One group contained breastfed infants, while the infants in another group were fed by a standard baby formula without any iron supplements. The summary results on blood hemoglobin levels at 12 months of age are provided below. Furthermore, assume that both samples are sampled from populations that are reasonably normally distributed. (M.F. Picciano and R.H. Deering?The influence of feeding regimens on iron status during infancy,? American Journal of Clinical Nutrition, 33 (1980), pp. 746-753)

Group n x s

Breast-fed 23 13.3 1.7

Fourmula 19 12.4 1.8

Answer:

a is the answer

Step-by-step explanation:

.......................

The minority interest in E for the consolidated financial statements of Ross Group will be 20%.

To determine the minority interest in E, we need to trace the ownership structure from Ross plc to E.

Given:

- Ross plc owns 70% of B.

- Ross plc already owns 30% of C.

- C owns 40% of D.

- B owns 80% of E and 25% of D.

To calculate the minority interest in E, we need to consider the portion of E that is not owned by Ross plc. Let's trace the ownership:

1. Ross plc owns 70% of B.

  This means Ross plc has a 70% controlling interest in B, leaving a 30% minority interest in B.

2. B owns 80% of E.

  Since B is the majority owner of E, the remaining 20% of E is considered the minority interest.

Therefore, the minority interest in E is 20%.

In summary, based on the given ownership structure, the minority interest in E for the consolidated financial statements of Ross Group will be 20%.

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The selling price of the pen would be Rs. 13.80 to obtain a 15% profit

Let the cost price of the pen be Rs. x.

The profit noted in Case 1 = 10% of CP, i.e., 10/100 x

The SP of the pen = 13.20

The CP of the pen is calculated as:

SP = CP + Profit

X + 10/100 x = 13.20

110/100 x = 13.20

x = 1320/ 110

x =  12

The Cost price of the pen is Rs 12.

If he wanted to acquire a profit of 15%, the selling price of the pen would be calculated as:

SP = CP + P

= 12 + (15 x 12)/100

= 12 + 180/100

SP = 13.80

Thus, the Selling price of the pen would be Rs. 13.80 to obtain a 15% profit

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