A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindric

Response:

Detailed explanation:

Probability for an event is calculated as the ratio of the size of the event space compared to that of the sample space.

The sample space encompasses all possible outcomes.

Event space represents the number of favorable outcomes for the event in question.

Thus

Let

x ------> size of event space

y ----- → size of sample space

so

Calculate the probability of the first student being left-handed

we have

substituting values

Simplify

Calculate the probability of the second student being left-handed

we have

substituting values

Calculate the probability that both selected students will be left-handed

Multiply the probabilities together.

Convert to percentage

Multiply by 100

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.

Let

s--------> denote the cube's side length

We know that

the volume of a cube is calculated as

if the side length s measures

then

and thus, the volume is defined as

This leads us to conclude

the correct option is

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.