Ask question

Ask question

All categories

3 years ago

9

Prove that the sum of two odd functions is odd.

1 answer:

katrin [286]3 years ago

7 0

Odd function: f(-x) = -f(x)

Let two odd functions be f(x) and g(x)

Let k(x) = f(x) + g(x)

Then k(-x) = f(-x) + g(-x) = -(f(x) + g(x)) = -k(x)

So k(x) is odd too.

You might be interested in

Math need help pls! will give points/brainly

earnstyle [38]

2. 4(x+3) =3x+17

distribute

4x+12 = 3x+17

subtract 3x from each side

x + 12 = 17

subtract 12 from each side

x =5

6. -10 +5x=5(x-3)+5

distribute

-10+5x = 5x-15+5

combine like terms

-10+5x =5x -10

subtract 5x from each side

-10 = -10

infinite solutions

5 0

4 years ago

Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

6 0

3 years ago

Help me with this pls

SVEN [57.7K]

The answer is (A) 4 wfheyjtehetjtwy

5 0

3 years ago

Read 2 more answers

R/7.1 = 4.2<br><br>what is r =

MissTica

Answer:

r =29.82

Step-by-step explanation:

r/7.1 = 4.2

Multiply each side by 7.1

r/7.1 *7.1 = 4.2*7.1

r =29.82

8 0

3 years ago

Determine whether a triangle with the given side lengths is a right triangle.

Vinil7 [7]

Answer:

1st one is not a right triangle.

2nd one is not a right triangle.

3rd one is not a right triangle.

4th one is a right triangle.

Step-by-step explanation:

1, 2, and 3 could also be "not enough information".

7 0

2 years ago