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allsm
2 months ago
15

A local weather enthusiast wants to see if the last five summers have been warmer than normal for Eloy, Arizona. From the Nation

al Oceanic and Atmospheric Administration (NOAA), he knows the 30-year average for July was 90° with a standard deviation of 2.1°. The last five summers recorded have an average of 92°. If he uses a = 2.5%, which of the following would be valid based on the data he has gathered?
A) He can conclude that the summers have been warmer than the 30-year average.
B) He can conclude that the summers will continue to be warmer for the next 10 years.
C) He does not have enough information to make a decision.
D) The average for the last five years fits with the 30-year average.
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
6 0
Based on the data collected by the local weather enthusiast, the valid answer is D. The average of the past five years aligns with the 30-year average. The recorded average for the five summers is 92 degrees, and with a standard deviation of 2.1 degrees, it fits within the 30-year context.
Leona [12.6K]2 months ago
5 0
The average temperature for July over the past 30 years in Eloy and Arizona is 90°. The standard deviation is 2.1°. This implies that the temperature over these 30 years spans from 90° - 2.1° to 90° + 2.1°, which equals 87.9° to 90°. The average for the last five summers in Eloy and Arizona is 92°. To calculate the reduction, which is 2.5% from 92, we find that 89.70° is within the 87.9° to 90° range. Thus, it can be concluded that the two averages are likely identical.
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tester [12383]

Answer:

0.5r

Step-by-step explanation:

If Jerry completed his journey in half the duration that Macy did, it implies Macy's time was twice as lengthy. Assuming Jerry’s speed is r, Macy’s speed would therefore be 0.5r, indicating she travels at half Jerry's pace and takes twice as long to cover the distance.

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2 months ago
A company purchased a delivery van for $28,000 with a salvage value of $3,000 on September 1, Year 1. It has an estimated useful
Svet_ta [12734]

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

4 0
1 month ago
There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders
PIT_PIT [12445]

Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is g+400-1800=1300.

Step-by-step explanation:

Given:

Initial gravel amount = 'g'.

Currently Given:

Throughout the day, 400 pounds of gravel is added to the pile.

Thus we can conclude;

Gravel amount after addition = g+400

Also given:

Two orders of 900 pounds are sold and the gravel is taken from the pile.

Hence, two orders of 900 pounds = 2\times 900 = 1800 \ pounds

This leads us to state;

Gravel amount post-removal = g+400-1800

Now Given:

Remaining gravel at the end of day = 1300 pounds.

Therefore, we derive that;

g+400-1800=1300

Consequently, the equation that best describes the scenario is g+400-1800=1300.

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1 month ago
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
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Answer:

2x+178\geq 2000

Step-by-step explanation:

Let the number of cans collected by Shane be x.

Thus, the number of cans collected by Abha is x + 178.

Given that a minimum of 2000 cans is required to be collected.

Therefore, we have the inequality,[ [TAG_19]]

Total cans by Shane + Total cans by Abha ≥ 2000.

That is, x+(x+178)\geq 2000

Thus, the necessary inequality is 2x+178\geq 2000.

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2 months ago
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