Ask question

Ask question

All categories

3 years ago

13

The function y = 400(0.75)* models the amount in milligrams of pain reliever, y. remaining in a patient's bloodstream x hours af

ter the initial dose. How much pain reliever in milligrams remains after 3 hours? No link please

1 answer:

Schach [20]3 years ago

7 0

Step-by-step explanation:

y = 400 × 0.75

y = 300

300 milligrams = 0.75 hours

x = 3 hours

3(300) = 0.75x

900 = 0.75x

x = 1200

You might be interested in

Factor y 2 + 5y + 6.<br> (y + 1)(y + 6)<br> (y + 2)(y + 3)<br> (y + 2)(y + 4)

serg [7]

<span>y^2 + 5y + 6
=</span><span>(y + 2)(y + 3)

----------------------------------</span>

5 0

3 years ago

Read 2 more answers

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago

It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does

anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

$\frac{1}{8}-\frac{1}{12} = \frac{1}{x} \\\\\frac{6 - 4}{48} = \frac{1}{x} \\\\\frac{2}{48} = \frac{1}{x} \\\\x = \frac{48}{2}$

x = 24 hours

6 0

3 years ago

A decimal in between 0.25 and 0.125

Olin [163]

0.2 is a decimal between 0.25 and 0.125

8 0

2 years ago

Help on this math question? If you don't know how please don't answer :/

just olya [345]

4/x = 6/(x+3)
6x = 4(x+3)
6x = 4x + 12
2x = 12
x = 6

P = (4 + 6) +(6+3) + 6
P = 10 + 9 + 6
P = 25

8 0

3 years ago