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2 years ago

Marking brainliest.

Mathematics

1 answer:

natka813 [3]2 years ago

3 0

Answer:

is nirvana considered indie? idrk--- but i listen to that band and a lot of rock songs :)

Step-by-step explanation:

You might be interested in

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

00:00

vaieri [72.5K]

Answer:

(D)What did Micah eat for lunch yesterday?

Step-by-step explanation:

A statistical question is a question for which the expected response varies. That is, we do not expect to get a single answer. Out of the given options,

Option D is not a valid statistical question as the response to the question will always be the same for a particular day,

If Micah ate cheesecakes for lunch yesterday, asking repeated times will not change the response.

6 0

2 years ago

Please answer this question

VashaNatasha [74]

Answer:

i think 1

remember like this: y=mx+b

m is slope

b is y intercept

8 0

2 years ago

Read 2 more answers

What is the height, h, of one of the triangles?

Pepsi [2]

Height of triangle = 1/2 height of rectangle = 1/2 (16) = 8

answer
8ft (first one)

6 0

3 years ago

Read 2 more answers

A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh

mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 2.7, \sigma = 0.9$