TRIGONOMETRY What is the x-value between 2tt and 4tt corresponding to a y-value of -1

00 pts

777dan777 [17]

Answer:

$a_n=6\cdot (-1)^n$

Step-by-step explanation:

<u>Alternating Sequences</u>

A sequence whose terms alternate in the sign is called an alternating sequence.

The given sequence consists of the numbers -6 and 6 in infinite alternation.

Such sequences can be expressed as equations of the form

$a_n=a\cdot (-1)^m$

Where a is the constant absolute value of each term and m is an expression adequately arranged to reproduce the alternation of signs.

Since the sign is minus for odd terms, and plus for even terms, m=n is a good expression for m. Thus:

$a_n=6\cdot (-1)^n$

5 0

3 years ago

A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a

lesya [120]

Answer:

Part A:

The null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_1: \pi\neq 0.5$

Part B:

- A Type I error is when the null hypothesis is rejected although it is true. In this case, it would mean that we conclude that the hiring process is discriminatory, when in reality it is a random result and the process is not discriminatory.

- A Type II error is when the null hypothesis fails to be rejected although it is false. In this case, the hiring process is discriminatory, but statistically the result is not significant enough to prove that.

Part C:

A reduction in the significance level causes a reduction in the power of the test.

Part D:

The power of the test is increased with a larger sample.

Step-by-step explanation:

We have a restaurant with hire a proprotion of 15 % of people in the age ragne of 30-50 years. The expected proportion, according to the applicants, is 50%.

The test will tell us if the actual 15% is a result of a discriminatory practice or a random result.

Part A:

The null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_1: \pi\neq 0.5$

Part B:

- A Type I error is when the null hypothesis is rejected although it is true. In this case, it would mean that we conclude that the hiring process is discriminatory, when in reality it is a random result and the process is not discriminatory.

- A Type II error is when the null hypothesis fails to be rejected although it is false. In this case, the hiring process is discriminatory, but statistically the result is not significant enough to prove that.

Part C:

The power of an hypothesis test is the probability that the test rejects the null hypothesis (H_0) when a specific alternative hypothesis (H_1) is true.

If the significance level is reduced (from 5% to 1%), the rejection region is reduced, so the probability of rejecting the null hypothesis is also reduced.

Then, a reduction in the significance level causes a reduction in the power of the test.

Part D:

A bigger sample size gives robustness to the sample statistic. Then, if the alternative hypothesis is true, the probabilities of detecting the effect are increased with increased sample size.

Then, the power of the test is increased with a larger sample.

3 0

3 years ago

In June 1990, a small academic press published an initial run of 2,500 copies of linguist Chloe Vermeulen’s first book, Speech a

GREYUIT [131]

Answer:

A) 1525

B) 4636

C) 8479

Step-by-step explanation:

Lest say that The book had been sold x copies in the period of June 1990-June 1995. And we know that the book had been sold 152*x/100 copies in the period of June 1995–June 2000. By June 2000 in total 3843 book had been sold. Therefore number of the copies that sold in the period of June 1990-June 1995 is:

$252*x/100=3843\\x=1525$