A typical starting dose is 10 mg After the medication has been fully taken once daily metabolized, it is eliminated continuously from the body at a rate of approximately 2.3% per hour. Steady-state concentrations are achieved within 7-10 days of administration. Time Amount Remaining from New Dose Total Amount in the (days) Previous Doses (mg) Added (mg) Blood Stream (mg) 0 NA 10 10 1 5.76 10 15.76 2 9.07 10 19.08 3 10.99 10 20.99 4. Fill in the table, displaying how Lexapro accumulates in the body over the course of ten days. 10 points 4 12.08 10 22.08 5 12.72 10 22.72 6 13.08 10 23.08 7 13.30 10 23.30 8 00 13.42 10 23.42 9 15.49 10 23.49 10 13.53 10 23.53 Let's examine what is happening... Time (days) 0 Total Amount in Blood Stream (mg) 10 15.76 1 5. Run logistic regression on your completed data table to find a model for the total amount of Lexapro in the blood stream as a function of time in days, P(t). Logistic Regression Calculator. 15 points 2 3 4 5 6 7 00 8 9 10 9
Answers
In this case, we want to predict the total amount of Lexapro in the bloodstream (continuous outcome) based on the time in days (continuous predictor). The output will give us the equation for the model:
\(P(t) = \frac{11.834}{e^{-0.621(4-2.94)} }\)
To fill in the table, we use the given information that the medication is eliminated from the body at a rate of approximately 2.3% per hour. This means that after one hour, 97.7% of the medication remains in the body. We can use this information to calculate the amount remaining from the previous dose and the total amount in the bloodstream for each day.
Time (days) | Amount Remaining from Previous Doses (mg) | New Dose Added (mg) | Total Amount in Blood Stream (mg)
0 | NA | 10 | 10
1 | 5.76 | 10 | 15.76
2 | 9.07 | 10 | 19.07
3 | 10.99 | 10 | 20.99
4 | 12.08 | 10 | 22.08
5 | 12.72 | 10 | 22.72
6 | 13.08 | 10 | 23.08
7 | 13.30 | 10 | 23.30
8 | 13.42 | 10 | 23.42
9 | 13.49 | 10 | 23.49
10 | 13.53 | 10 | 23.53
For example, on day 1, the amount remaining from the previous dose is 10 x 0.977 = 9.77 mg, and the total amount in the bloodstream is
9.77 + 10 = 19.77 mg.
On day 2, the amount remaining from the previous dose is
19.77 x 0.977 = 19.30 mg, and the total amount in the bloodstream is 19.30 + 10 = 29.30 mg.
We continue this process each day to fill in the table.
To find a model for the total amount of Lexapro in the bloodstream as a function of time in days, we can use logistic regression. Logistic regression is a statistical method used to analyze data with a binary outcome (i.e. 0 or 1), but it can also be used for continuous outcomes by transforming the data.
In this case, we want to predict the total amount of Lexapro in the bloodstream (continuous outcome) based on the time in days (continuous predictor). We can use a logistic regression calculator to find the model. The output will give us the equation for the model:
\(P(t) = \frac{11.834}{e^{-0.621(4-2.94)} }\)
where P(t) is the predicted total amount of Lexapro in the bloodstream at time t in days. This model suggests that the total amount of Lexapro in the bloodstream increases over time but at a decreasing rate. The model can be used to make predictions about the total amount of Lexapro in the bloodstream at different time points.
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Related Questions
aden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?
Answers
Answer:
Jaden’s teacher had 4 boxes of pens that each contained y pens.
Number of boxes of pen = 4
Number of pens per box = y
Total number of pens = 4 x y = 4y
She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.
Total number of pens left = 4y - 6
Number of students = 17
Step-by-step explanation:
What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answers
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
I need both answers now please and don answer if u don’t know
Answers
Answer:3048.7804878
Step-by-step explanation:
I took the same test p.s. you may need to round.
the formulation for a linear programming problem cannot include more than one decision variable. group of answer choices true false
Answers
False. A linear programming problem can include more than one decision variable. Linear programming is a mathematical method used to find the optimal solution for a problem with multiple constraints and objectives, often related to maximizing or minimizing a certain value.
Decision variables are the variables that determine the potential solutions, and their values can be changed to affect the outcomes.
In many practical situations, there are multiple decision variables involved. For instance, a company may need to determine the optimal production quantities for different products, subject to resource constraints and market demands. In this case, the decision variables would represent the production quantities for each product, and there would be more than one variable.
In conclusion, the statement that a linear programming problem cannot include more than one decision variable is false. Multiple decision variables can be present in a linear programming formulation to address complex problems that involve multiple choices and constraints.
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In significant figures whats 28.97 + 45.876
Answers
74,846
The explanation:
Answer:
74.85 (Plato/Edmentum)
Step-by-step explanation:
#1: 28.97 + 45.876
#2: 74.846
#3: 74.85
Write f(x) = 2x2 - 44x + 185 in vertex form.
To write f(x) = 2x2 - 44x + 185, factor out
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2622 - 22x + 121) + 185 - 242
The function written in vertex form is f(x) =
(x - 12+
Answers
Answer:
more information
Step-by-step explanation:
Answer:
2, 2, 11, -57
Step-by-step explanation:
Help please Simplify the following expression.
5 (2. - 3) + 4(x + 1)
Answers
Answer:
Step-by-step explanation:
(x+1 = whatever the letter x represents the multiply it to 4 then do 2. - 3= -1 x 5= 4 + the sum of 1 and x times 4. Hope it helps <3
What are the individuals in the data set?
O towns
O average temperatures
O beach access
O locations
Answers
As all the information such as temperature, number of hotels, beach access and location are related to the towns, then, the towns are the individuals in a data-set. The Option A is correct.
What are individuals in data set?Individuals refers to the people or objects included in the study. A variable is a characteristic of a person that can be measured or observed.
For example, if we want to conduct a study on people who have climbed Mt. Everest, the individuals in the study are the actual people who reached the summit. The variables to measure or observe could be the height, weight, race, gender, income, and so on of those who reached the summit of Mt. Everest.
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A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answers
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
A random sample of 1012 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1012 adults surveyed, 514 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
enter your response here
(Round to three decimal places as needed.)
Part 2
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
▼
is stated to be
can be assumed to be
cannot be assumed to be
is stated to not be
a simple random sample, the value of
▼
n
ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis
ModifyingAbove p with caret
n ModifyingAbove p with caret
n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis
is
enter your response here, which is
▼
greater than or equal to
less than
10, and the
▼
population proportion
sample proportion
population size
sample size
▼
cannot be assumed to be
can be assumed to be
is stated to not be
is stated to be
less than or equal to 5% of the
▼
population proportion.
sample size.
sample proportion.
population size.
(Round to three decimal places as needed.)
Part 3
(c) Construct and interpret a % confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A.
There is a
enter your response here% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
enter your response here and
enter your response here.
B.
We are
enter your response here% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
enter your response here and
enter your response here.
Part 4
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is
▼
possible, but not likely
not possible
likely
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval
▼
does not contain
contains
enter your response here.
(Type an integer or a decimal. Do not round.)
Part 5
(e) Use the results of part (c) to construct a % confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.
Lower bound:
enter your response here, Upper bound:
enter your response here
(Round to three decimal places as needed.)
Answers
Answer: (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
The point estimate for the population proportion is 514 / 1012 = 0.507.
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample is stated to be a simple random sample.
The value of n * p = 1012 * 0.507 = 514.7796 is greater than or equal to 10.
The value of n * (1 - p) = 1012 * (1 - 0.507) = 497.2204 is greater than or equal to 10.
The population proportion is less than or equal to 5% of the population size.
Therefore, the requirements for constructing a confidence interval are satisfied.
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
The 95% confidence interval for the population proportion is 0.507 +/- 1.96 * sqrt((0.507 * (1 - 0.507)) / 1012) = 0.507 +/- 0.0245 = (0.4825, 0.5315).
We are 95% confident that the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.4825 and 0.5315.
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is possible that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval contains 60%. However, it is not likely because the confidence interval is relatively narrow and the point estimate is far from 60%.
(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.
The 95% confidence interval for the population proportion of adults who believe that televisions are a necessity is 1 - 0.5315 = 0.4685 to 1 - 0.4825 = 0.5175. Therefore, the 95% confidence interval for the population proportion of adults who believe that televisions are a necessity is (0.4685, 0.5175).
Step-by-step explanation:
Graph 1.7 on a number line
Answers
Answer:
Step-by-step explanation:
1.7 lies between 1 and 2.
SOMEBODY HELP!
MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK
Label each of the parts: terms, like terms, coefficients, and constant
terms.
9 + 7y - 2 - 5y
Answers
Answer:
= 7 + 2y.
Step-by-step explanation:
Collect like terms.
(9 − 2 ) + (7y − 5y )
Simplify.
= 7 + 2y.
Hope this helps.
Have a good night ma'am/sir.
Be safe!
There are 7 purple marbles, 12 orange marbles, 3 pink marbles, and 6 gray pens in a bag. You randomly choose one. Find each probability as a FRACTION in SIMPLEST FORM.
Answers
Orange- 3/7
Pink- 3/28
Pens- 3/14
geomerty help please!!!!
Answers
Find the slope between (4,5) and (‐3, 6).
Answers
Answer:
-1/7
Step-by-step explanation:
to find slope y2-y1 / x2-x1
6-5/-3-4
1/-7
what is the meaning of interval [a,b]
Answers
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
A circular plate has a diameter of 18 inches. What is the area of the plate? *
A) 81 square inches
B) 81 square inches
C) 18 square inches
D) 9 square inches
Answers
Answer:
254 inches squared
Step-by-step explanation:
Hi there!
\(A=\pi r^2\) where r is the radius of the circle
The radius is equal to half the diameter. Given that the diameter is 18 inches, we know that the radius of the circular plate is 9 inches. Plug this into the equation:
\(A=\pi (9)^2\\A=81\pi \\A=254\)
Therefore, the area of the plate is approximately 254 inches squared.
If this is not an answer choice, the question may have been asking for the radius of the circle rather than the area.
I hope this helps!
Add.
(79 + 1) + (59 + 2)
Answers
= 141
Have a good day
2 is what percent of 80?
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
2.5%
Step-by-step explanation:
Convert fraction (ratio) 2 / 80 Answer: 2.5%
QUESTION 84
Amount of $3,000 due to be paid in 3 years, has a Present Value ____________.
A.
equal to the Expected Value of $3,000
B.
that is more than $3,000, assuming an interest rate greater than zero
C.
equal to an amount, that with accumulated desired interest would grow to be $3,000 three years from now
D.
Both A and C above
E.
Can’t tell, need the interest rate
Answers
The present value of an amount of $3,000 due to be paid in 3 years is equal to an amount, that with accumulated desired interest would grow to be $3,000 three years from now. This is because the present value is the value of the future payment today, after taking into account the time value of money and the interest rate. The answer to this question is C.
To calculate the present value of $3,000 due in 3 years, we need to discount the future payment back to its present value using the interest rate. This means that we need to find an amount that, when invested today at the given interest rate, will grow to be $3,000 in 3 years.
For example, if the interest rate is 5%, the present value of $3,000 due in 3 years would be approximately $2,530. This means that if you invest $2,530 today at 5% interest, it will grow to be $3,000 in 3 years.
Therefore, the correct answer is C, and we need to know the interest rate to calculate the present value accurately. Answer A is incorrect because the expected value of $3,000 does not take into account the time value of money and the interest rate. Answer B is incorrect because the present value should always be less than the future value if the interest rate is greater than zero. Answer D is incorrect because the expected value and the present value are not the same.
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What type of number is 101,323?Choose all answers that apply:AWhole numberBIntegerRationalIrrational
Answers
Given the number 101,323?
The correct options are:
Whole number because there is no decimal point.
Integer because there is no decimal point.
Rational because can be written as a/b
So, the answer is options A, B, and C.
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12. 5 years and the standard deviation is 2. 4 years.
Use the empirical rule (68-95-99. 7%) to estimate the probability of a lion living more than 10. 1 years.
Answers
The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
z = (10.1 - 12.5) / 2.4
z = -1.00
Using the empirical rule, we know that approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).
From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.
Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
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The entrance to our school has a height of 10.5 feet. There are approximately 30.5 centimeters in 1 foot. What is the height of the entrance in centimeters?
Answers
Answer:
320.25 centimeters
Step-by-step explanation:
you multiply 10.5 * 30.5
8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Answers
Answer:24divided by 16/64
Step-by-step explanation:
8x[7+1]2/4x4/16
8x8/2/4x4/16
48/2/4x4/16
48/2/16/64
24/16/64
find the value of 'x' in each of the following figures.
Answers
Answer:
You Have to Find Answer Yourself
Step-by-step explanation:
By This - B+D+C = 130°-20°+E
Answer:
110 degrees
Step-by-step explanation:
when continuing line DC down to line AE, it creates a triangle with the intersection point at AE, C and E.
the angles in that triangle are
E (20 degrees)
the internal angle at C = 180 - 130 = 50 degrees
and the angle at the interception point at AE.
since CD is parallel to AB, that angle is equal to x.
the sum of all angles in a triangle is airways 180 degrees.
therefore this angle is
180 - 20 - 50 = 110 degrees = x
help meee pleaseeee i donr know how to solve thisss
Answers
Answer:
D
Step-by-step explanation:
-12 + 5 ≤ 4
-7 ≤ 4
this inequality is true
The answer to the question is D
I will give brainliest please help need this asap worth 100 points
Answers
Which problem do you want me to do??
Answer:
a. R = 8
b. The number of retweets in the thousands in days.
c. I don't understand c I'm sorry.
d. It means the retweets and time in days are in 23.
e. In the picture below
Step-by-step explanation:
r(t) = 9t - 4
r(4) = 9(4) - 4
divide both sides by 4
R(4) = 9 - 1
r = 8
Formula is S=2nr squared
If r=7 and n=3.14,calculate S rounded off to two decimal places.
Answers
Answer:
307.72
Step-by-step explanation:
S=2nr²
S=2×3.14×7²
S=307.72
What process you would use to find the distance between (2, 7) and (4, 10)?
Answers
Answer:
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
Step-by-step explanation:
help please thanks :))))))))))))))))
