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3 years ago

True or False. It is possible for an odd function to have the domain [0,infinity)? Justify your answer.

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

true

Step-by-step explanation:

If the function is odd, then f(-x) = -f(x) for all x. So if the function is defined for x > 0 it must also be defined for x < 0. So that interval is NOT possible.

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You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your p

frutty [35]

Answer:

Step-by-step explanation:

weight (x) $( x - \overline x)^2$

12.05 0.00123

12 0.00019

11.96 0.00292

12.14 0.0159

12.12 0.00112

11.97 0.0019

11.96 0.0029

12.11 0.0092

11.94 0.0055

11.82 0.038

12 0.00019

12.18 0.028

11.91 0.0108

12.06 0.0021

11.99 0.0029

$\sum x = 180.21$ $\sum (x - \overline x)^2 = 0.12285$

Sample size = 15

$\overline x = \dfrac{180.21}{15} = 12.014$

Sample standard deviation

$x = \sqrt{\dfrac{0.12285}{15-1}}$

$x = 0.0937$

$\text{degree of freedom = n - 1}$

$degree of freedom = 15- 1=14$

$\text{confidence interval} \alpha = 1- 0.98 = 0.02 \\ \\ \alpha/2 = 0.02/2 = 0.01$

$From \ X^2 \ table}$ $\text{, the critical value} X^2 \text{=0.99 for degree of freedom =14 is given by : 4.660}$

$\text{, the critical value} X^2 \text{=0.01 for degree of freedom =14 is given by : 29.141}$

$\text{Thus, the lower limit = 4.660, the upper limit = 29.141}$

$\text{the confidence interval of the standard deviation} \ \sigma \ is:$

$\sqrt{\dfrac{(n -1)s^2}{X^2_{\dfrac{\sigma}{2}}} } \le \sigma \le \sqrt{\dfrac{(n -1)s^2}{X^2_{1-\dfrac{\sigma}{2}}} }$

replacing our values:

$\sqrt{\dfrac{(15 -1)0.0937^2}{29.141} } < \sigma$

$= 0.06495 < \sigma < 0.1624$

$\mathbf{Thus; \ \sigma (0.06495 , 0.1624)}$

3 0

2 years ago

Y>x−4 y\ge -\frac{1}{2}x+5 y≥− 2 1 x+5

8_murik_8 [283]

ANSWER A

STEP BY STEP EXPLANATION

6 0

3 years ago

Express 315m/s into km/h (with the working)

NARA [144]

Answer:

315 m/s = 1134 km/h

Step-by-step explanation:

Multiply the speed value by 3.6

315 x 3.6 = 1134

8 0

3 years ago

Determine the answer to 3 + (-5) and explain the steps using a number line

Andreas93 [3]

Answer:

-2

Step-by-step explanation:

3 - 5 = -2

Place the dot on -2 on the number line that is on your problem as the answer. To show the steps on the number line, use your jumps to go back. For example, your starting point will be on 3, and then use your jumps to go back by 5; that means you go into the negatives. For this case, it is -2.

4 0

3 years ago

Every five years in August, the population of a certain city is recorded. In 2010, the city had a population

Ipatiy [6.2K]

Answer:

10,000

Step-by-step explanation:

yes

3 0

2 years ago

True or False. It is possible for an odd function to have the domain [0,infinity)? Justify your answer.​

True or False. It is possible for an odd function to have the domain [0,infinity)? Justify your answer.