Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle

To find the angle of rotational symmetry for a regular polygon, we use the formula: degrees of rotation = 360° divided by the number of sides. In this scenario, we used n = 5, given that a pentagon has five sides.
The calculation for the angle of rotation is: degrees of rotation = 360° / 5  
Thus, degrees of rotation = 72°

72° is the correct choice among the options.

Answer:

Indeed. Ample evidence substantiates the assertion that the leftover toothpaste is considerably below 10% of the stated net amount.

To explain step-by-step:

The remaining toothpaste sample consists of: [.53,.65,.46,.50,.37].

This dataset has a size of n=5, with a mean of M=0.502 and a standard deviation of s=0.102.

The 10% of the advertised content calculates to:

Hypothesis testing regarding the population mean:

The assertion posits that the remaining toothpaste is substantially less than 10% of the advertised net amount.

Thus, the null hypothesis and alternative hypothesis can be stated as follows:

The significance threshold is set at 0.05.

To find the estimated standard error of the mean, we utilize the formula:

Subsequently, we can compute the t-statistic as follows:

The degrees of freedom applicable to this sample size is:

This is a left-tailed test with 4 degrees of freedom resulting in t=-2.148. Thus, the P-value is evaluated as (using a t-table):

Given that the P-value (0.049) falls below the significance threshold (0.05), we conclude that the effect is significant.

The null hypothesis gets rejected.

There is ample evidence that affirms the claim that the remaining toothpaste is considerably below 10% of the stated net content.

Response:

477

Detailed explanation:

Provided information:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Utilizing the Z probability calculator:

P(x ≤ 2) = 0.97725;

P(x ≤ - 2) = 0.02275

Thus:

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Accordingly, number of readings in 500 trials:

0.9545 multiplied by 500 equals 477.25

≈ 477 values

Answer:

A one-sample t-test is suitable in this scenario

Step-by-step explanation:

The hypothesis test is focused on the mean when the population standard deviation isn't known. We will estimate the population standard deviation using the sample equivalent, s, to inform the calculation of the test-statistic.