A movie theater sells out 7 times per month. Chloe counted 168 sellouts at the theater. How long was Chloe recording sales?

Answer:

Step-by-step explanation:

The goal here is to identify whether the provided data set adheres to a normal distribution, and consequently, if a t-test is suitable for application.

To address this, we will construct a box plot using MINITAB software

The guidelines for this are as follows:

Input your data into the worksheet

Then navigate to Graph→ Boxplot→ EDA→ Boxplot

Under One Y, choose simple, and click OK

In Variables, enter measurements. Then click OK

Thus, for the first dataset (a) 213.03 212.95 213.04 213.00 212.99 213.01 221.03 213.05 as illustrated in the attached file in word document for the boxplot below;

We would observe an outlier in the data set which suggests that it does not conform to the normal distribution assumption; hence, the use of the t-distribution is not advised.

(b) Referring to the attached document below; we will notice that the boxplot does not present any outliers. Furthermore, it is evident that the distribution is right skewed. Thus, this dataset fails the necessary assumptions, making the t-distribution inappropriate for this data.

(c)

In the document provided below; we will find the boxplot without any outliers. Additionally, it is clear that the distribution exhibits a left skew. Consequently, the data does not meet the required assumptions, resulting in the t-distribution being unsuitable for this dataset.

=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41

Hope this assists!!!

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

<span>With AB tangent at D, where AD = OD = 4
, triangle OAD forms a right angle with sides measuring 4 and 4.
So, the area of triangle OAD is computed as 1/2 * 4 * 4 = 8

The angles AOD and DAO equal 45 degrees.
Therefore, the area of circular sector OCD is calculated as the area of circle O multiplied by 45/360
= pi * 4 * 4 * 45/360
= 2pi

The shaded area ACD results from the triangle OAD minus the area of circular sector OCD
= 8 - 2pi
= 1.72




</span>

<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>