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3 years ago

Identify the transformations that describe the graph of an odd function. Select all that apply.

1 answer:

8 0

A function is said to be an odd Function is the graph of the function is symmetric with respect to the origin. A function is odd if and only if f(–x) = –f(x).

The transformations that describe the graph of an odd function includes:

1.) 180° rotation around the origin

2.) reflection over the line y = x

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Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

3 years ago

The difference of a number and 6 is -11. What is the number?

Citrus2011 [14]

Answer:

The number is 17

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the GCF. 14abc and 28a2b2c3

Zarrin [17]

The greatest common factor is the largest factor that both terms share.

First, start with the coefficients, 14 and 28. The largest factor they both share is 14. 14 x 1 = 14, 14 x 2 = 28.

Next we move to the variables, abc and a²b²c³. The largest factor the both share is abc, all to the power of 1.

So, your GCF and final answer is 14abc

5 0

3 years ago

Thanks so much for the help!!

saveliy_v [14]

Answer: Domain: x=-2. Range: -2<=y<1

Step-by-step explanation:

Domain: The line is only on one x-point and that is x=-2.

Range: The line is ranging form -2 to 1. However, y=1 is not included on the line but y=-2 is. Hence, the range is notated as -2<=y<1.

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1 year ago

Between which 2 consecutive numbers is radical 46

Nuetrik [128]

$\bf \sqrt{46}\approx 6.78239983
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3 years ago