X-3/2x-8 * x^2-16/x2-9

A drug company developed a new formula for their headache medication. To test the effectiveness of this new formula, 250 people

irina1246 [14]

Answer: correct is B

Step-by-step explanation:

Annex the bar graph that shows which improvement time is less, the new formula being more effective, with an average of 55 minutes and the average of the old formula is 75 minutes, which leads to the conclusion that the new formula is better than the previous one with a time difference of 20 minutes.

5 0

4 years ago

A basket contains four apples and five peaches. Three times, you randomly select piece of fruit, returning to the basket, and th

Anarel [89]

Answer:

100/729

Step-by-step explanation:

The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.

P(Apple is selected) = number of apples / number of fruits= 4/9.

P(Peach is selected) = number of peaches / number of fruits= 5/9.

If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.

Therefore, the correct answer is 100/729!!!

3 0

4 years ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

The circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the he

cricket20 [7]

$T=17.4\sqrt[4]{m}$
Differentiate with respect to time $s$ :
$\frac{dT}{ds}=\frac{17.4}{4m^{3/4}}\frac{dm}{ds}$
⇒ $\frac{dT}{ds}=\frac{4.35}{m^{3/4}}\frac{dm}{ds}$
Plug in $m=38$ and $\frac{dm}{ds}=0.2$ :
$\frac{dT}{ds}=\frac{4.35}{38^{3/4}}*0.2$
⇒ $\frac{dT}{ds}$ ≈ $0.057$ sec/month

6 0

3 years ago

Read 2 more answers

After the first quarter of last year, a company posted a net income of $552 million. If this had continued, what would the compa

Zina [86]

Answer:

$2.208 billion

Step-by-step explanation:

4 × $552 million = $2208 million = $2.208 billion

_____

The wording "if this had continued" means you are to assume that all four quarters have the same net income. Then their total will be 4 times the income for one quarter.

3 0

3 years ago