A truck stops at a gas station where diesel fuel costs $3.99 per gallon. The truck needs 8.8 gallons of diesel for the driver to

I recently completed this question!

Here are the answers:

1) same side interior angles

2) (3x+4)+(2x+11) = 180

3) 77

Response:

Depreciation as of December 31, Year 1 will amount to $1,250

Detailed explanation:

Cost of Purchase = $28,000

Salvage Value = $3,000

Total Depreciation:

The total depreciation over 5 years (60 months) is calculated as Purchasing Cost minus Salvage Value

Total Depreciation over 5 years (60 months) = 28,000 - 3,000

Total Depreciation over 5 years (60 months) equals $25,000

Calculating Monthly Depreciation:

Monthly depreciation is derived from the overall depreciation divided by the total number of months as follows:

Total Depreciation for a single month = 25,000/60

Depreciation per month = 416.67$ (Monthly Depreciation)

Depreciation until December 31, Year 1

As this spans from September 1 to December 31 of Year 1, three months have passed, yielding total depreciation = 3 * Monthly Depreciation

Thus, Depreciation as of December 31, Year 1 = 3 * 416.67

Total Depreciation by December 31, Year 1 = $1,250

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.

A minimum sample size of 75 is necessary. Step-by-step explanation: We need to determine our level, which is calculated by subtracting 1 from the confidence interval divided by 2. Now, we need to find the z value in the Z table that corresponds to a p-value of [Z value]. Therefore, it is the z value with a p-value of [specific value]. Next, we calculate the margin of error M, where [insert equation], with [standard deviation] representing the population standard deviation and n as the sample size. The standard deviation equals the square root of the variance. With a 0.95 probability level, if the margin of error desired is 5 or below, a sample size of at least 75 is required.