To deliver 2 grams of a drug with a concentration of 350 mg per 10 mL, convert 2 grams to milligrams (2000 mg), and then divide this value by the concentration in mg/mL (350 mg/10 mL) to find the volume in milliliters. After calculation, this results in approximately 6 milliliters, when rounded to the nearest milliliter.
Explanation:To calculate how many milliliters are needed to deliver 2 grams of the drug when the concentration is 350 mg per 10 mL, we start with the conversion of grams to milligrams since the concentration is provided in milligrams. Remember, 1 gram equals 1000 milligrams:
Convert 2 grams to milligrams: 2 grams × 1000 = 2000 mg.Determine how many milliliters provide 350 mg: 10 mL corresponds to 350 mg.Calculate the proportion: (2000 mg) / (350 mg/mL) = Number of milliliters needed.Perform the calculation: 2000 / 350 = 5.71428571 mL.Round to the nearest milliliter: Approximately 6 mL.Therefore, approximately 6 milliliters of the drug are needed to deliver a dose of 2 grams.
64 is 55% of what number
0.06 is 10 times as much as 0.600
How do you solve 7/12 ÷ 2 5/8
Square EFGH has vertices: E = (-1,1), F = (-1,2), G = (-2,1), H = (-2, 2). In which quadrant will the image of vertex E' be if the square is rotated 270° clockwise about the origin O?
Answer:
Quadrant III
Step-by-step explanation:
Did this lesson, just checked the answer key.
Professor oger must choose between an extra writing assignment and an extra reading assignment for the upcoming spring break. for the writing assignment, there are two essay topics to choose from and three different mandatory lengths (30 pages, 35 pages, or 40 pages). the reading topic would consist of one scholarly biography combined with one volume of essays. there are five biographies and three volumes of essays to choose from. how many choices does she have? hint [see example 2.]
A poll conducted in 2013 found that 52% of u.s. adult twitter users get at least some news on twitter.40. the standard error for this estimate was 2.4%, and a normal distribution may be used to model the sample proportion. construct a 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter, and interpret the confidence interval in context.
For 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
Given information:
52% or 0.52 fraction of US adult twitter users get at least some news on twitter. It is the sample population in fractions.
The standard error is 2.4% or 0.024 fraction.
Normal distribution may be used to model the sample proportion.
Now, for 99% confidence level, the interval for the fraction of US adult who get some news on twitter will be,
[tex]I=\texttt{sample population}\pm 2.575\times \texttt{standard error}\\I=0.52\pm 2.575\times0.024\\I=0.52\pm 0.0618\\I=(0.4582, 0.5818)[/tex]
Therefore, for 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
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I am having difficulty solving this problem
What does the "O" stand for in the S.T.O.P. method of refusal?
A.
Only try it once.
B.
Offer another idea.
C.
Offer a ride home.
D.
Organize a list of problems.
O stands for Offer another idea.
Option B is the correct answer.
What are abbreviations?Abbreviations are shortened versions of words or phrases that are commonly used in written or spoken language.
They are created by taking the first letter (or sometimes multiple letters) of each word in a phrase and using them to form a shorter, more compact version of the phrase.
For example:
"ASAP" is an abbreviation for "as soon as possible" and "FYI" is an abbreviation for "for your information".
Abbreviations are often used to save time and space in writing and are common in fields such as science, medicine, and technology where complex terms and phrases are frequently used.
We have,
The "O" in the S.T.O.P. method of refusal stands for "Offer another idea."
Thus,
O stands for Offer another idea.
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2w-5w=27 can you tell me how to solve this to where I can understand
The formula f 5280m can be used to convert a measurement of f feet to an equivalent measurement of m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles?
4 miles?
5.3 miles?
111,513,600 miles?
132,620,600 miles?
If angle X has a measure of 40 degrees and angle Y is vertical to angle X what is the measure of angle Y?
the shop has 1260 ounces of cranberry juice and 650 ounces of passion fruit juice.ifvthe juices are used to make crazy cranberry smoothies, which juice will run out first?how much of the other juice will be left over?
simplify 12 divided (2+4)
Answer: +2
Step-by-step explanation: When you're doing a problem like [tex]\frac{12}{2 + 4}[/tex], it's important to understand that a division bar has the same effect on a problem as a set of parentheses in that it groups terms together.
So this 2 + 4 can be thought of as being inside a set of parentheses just like it is in the original problem. Remember from your order of operations that before you do anything else, you must simplify what's inside the set of parentheses.
So the first thing we do here is add 2 + 4 to get 6 and this problem simplifies to [tex]\frac{12}{6}[/tex]. Now we can divide 12 by 6 which gives us +2.
Which best describes the dimensions of a line?
which choice correctly expresses the number below in scientific notation
1. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
The equations we can create is based from this equation:
time = volume of pool / rate
Drain A: time = 108 gal / (2 gal / min) = 54 min
Drain B: time = 108 gal / (5 gal / min) = 21.6 min
figure ABCD is a rectangle with point A (-2, 5). What rule would rotate the figure 90 degree clockwise?
ray is 23 years older than his sister Carol. in 20 years he will be twice as old as Carol. how old is each of them now?
The least common multiple of two numbers is 60 and one of the numbers is 7 than the other numbers what are the numbers justify the answers
Donna buys candy that costs $5 per pound. She will spend less than $30 on candy. What are the possible numbers of pounds she will buy?
x = number of pounds
5x<30
x<30/5
so she can buy X<6 pounds
Answer:
The possible numbers of pounds she will buy is less than 6.
Step-by-step explanation:
Given : Donna buys candy that costs $5 per pound. She will spend less than $30 on candy.
To find : What are the possible numbers of pounds she will buy?
Solution :
Let x be the number of pounds.
Donna buys candy that costs $5 per pound.
i.e. cost of x candy is $5x.
She will spend less than $30 on candy.
i.e. [tex]5x<30[/tex]
Solve the inequality,
[tex]x<\frac{30}{5}[/tex]
[tex]x<6[/tex]
The possible numbers of pounds she will buy is less than 6.
the difference of 9 and the square of a number
Students in a class were asked to name their favorite flavor of ice cream. The results are shown in the circle graph. How many times more students prefer cookies and cream than prefer strawberry?
Cookies and Cream: 18%
Strawberry: 2%
Cookie Dough: 35%
Vanilla: 25%
Chocolate Chip: 20%
Answer: 9 times
Step-by-step explanation:
Let the total number students be x.
Then the number of students liked cookies and cream = 18% of x= 0.18 x
The number of strawberry = 2% of x = 0.02 x
Clearly, 0.18 x> 0.02 x
The number of times more students prefer cookies and cream than prefer strawberry =[tex]=\frac{0.18x}{0.02x}=9[/tex]
Hence, The students prefer 9 times cookies and cream than prefer strawberry.
A high rise building has a sink on the fourth floor located 2-feet above the floor. Each floor is 10-feet above the other. Calculate the psi at the sink where when the street pressure is 80 psi. The building does not have a pressure reducing device due to fire codes.
Let x denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter λ = 0.01382. (a) what is the probability that the distance is at most 100 m? at most 200 m? between 100 and 200 m? (round your answers to four decimal places.)
To solve this problem, we have to use the formula:
P = 1 - e^(-λx)
where λ = 0.01382, and x is the distance
A. when x = 100
(P < or equal to 100) = 1 - e^(-0.01382 * 100)
(P < or equal to 100) = 0.75
B. when x = 200
(P < or equal to 200) = 1 - e^(-0.01382 * 200)
(P < or equal to 200) = 0.94
C. when 100 < x < 200
P (100 < x < 200) = P ((x < 100) + P(x > 200))
P (100 < x < 200) = 0.75 + (1 – 0.94)
P (100 < x < 200) = 0.81
Final answer:
The probabilities for a banner-tailed kangaroo rat to move at most 100 m, at most 200 m, and between 100 and 200 m are 0.7487, 0.9389, and 0.1903 respectively, when rounded to four decimal places.
Explanation:
The question deals with exponential distribution, which is a type of continuous probability distribution often used to model the time or space between events in a Poisson process. Given that the parameter λ (lambda) for the banner-tailed kangaroo rats is 0.01382, the mean (μ) can be calculated as the reciprocal of λ, so μ = 1/λ. In this case, μ = 1/0.01382. The cumulative distribution function (CDF) for an exponential distribution is [tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]
To find the probability that the distance is at most 100 m, we use the CDF:
[tex]P(X \leq 100) = 1 - e^{-(0.01382)(100)} = 1 - e^{-1.382} \approx 1 - 0.25132 = 0.74868[/tex]
For the distance at most 200 m:
[tex]P(X \leq 200) = 1 - e^{-(0.01382)(200)} = 1 - e^{-2.764} \approx 0.93894[/tex]
To find the probability that the distance is between 100 m and 200 m, we subtract the probability of being at most 100 m from the probability of being at most 200 m:
P(100 < X ≤ 200) = P(X ≤ 200) - P(X ≤ 100) = 0.93894 - 0.74868 = 0.19026
So, the probabilities are approximately 0.7487 for at most 100 m, 0.9389 for at most 200 m, and 0.1903 for between 100 and 200 m, when rounded to four decimal places.
Find the complete factorization of the expression.
10xyz + 24xy + 6xz
A) xyz(5 + 12 + 3)
B) 2x(5zy + 12y + 3z)
C) x(10zy + 24y + 6z)
D) 2(5xzy + 12xy + 3xz)
Answer:
B) 2x(5zy + 12y + 3z)
Step-by-step explanation:
First, all coefficient for each term are a pair number, therefor 2 is common factor for all these
[tex]10xyz + 24xy + 6xz=>2(5zxy + 12xy + 3xz )[/tex]
then, the variable X is present for each term of the funtion [tex](5zxy + 12xy + 3xz)[/tex], so, the variable X is a common factor to.
[tex]2(5zxy + 12xy + 3xz )=> 2x(5zy + 12y + 3z )[/tex]
There is a sales tax of $6 on an item that costs $88 before tax and. The sales tax on a second item is $21. How much does the second item cost before tax
In 2 hours Cara read 48 pages. If she read he same number of pages each hour, how many pages did Cara read in one hour?
Penny has 25 dimes. She likes to arrange them into three piles, putting an odd number of dimes into each pile. In how many ways would she do this?
Penny can arrange the 25 dimes into three piles in 6 different ways.
Explanation:Penny has 25 dimes and wants to arrange them into three piles, with an odd number of dimes in each pile. In order to do this, let's consider the possible combinations:
Possible combinations:
1. Pile A: 1 dime, Pile B: 1 dime, Pile C: 23 dimes
2. Pile A: 1 dime, Pile B: 3 dimes, Pile C: 21 dimes
3. Pile A: 1 dime, Pile B: 5 dimes, Pile C: 19 dimes
4. Pile A: 1 dime, Pile B: 7 dimes, Pile C: 17 dimes
5. Pile A: 1 dime, Pile B: 9 dimes, Pile C: 15 dimes
6. Pile A: 1 dime, Pile B: 11 dimes, Pile C: 13 dimes
Therefore, Penny can arrange the dimes into three piles in 6 different ways.
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A towns population went from 25.800 to 42,600 in 15 years. What was the percent increase?
Kira is saving money to buy a bike that costs $133 . She has $42 and will save an additional $7 each week. In how many weeks will she have enough money to buy the bike?