Explain why the decimal moving strategy can be used with SI units but not with imperial units

Answer:

1. The average speed of Tracie's bus as it heads home is miles for each minute.

Step-by-step explanation:

The graph indicates that,

the horizontal axis displays time in minutes, while the vertical axis denotes the distance remaining to home in miles.

Moreover, the function's graph descends by 1 mile every 2 minutes.

This means that, as time progresses, the distance from home reduces.

In essence, the bus is moving nearer to Tracie's residence.

Additionally, since the distance shrinks by 1 mile for every 2 minutes elapsed,

the rate of decline is calculated to be miles per minute.

The slope signifies the speed of the bus as it moves towards home.

This concludes that 'Tracie's bus travels towards her home at an average speed of miles per minute.'

Answer:

3) One-sided, compare two populations

Step-by-step explanation:

A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.

Thus, we have two distinct populations:

Population 1: Mid-sized sedans equipped with the new tire.

Population 2: Mid-sized sedans without the new tire.

Consequently, a comparison is being made between these two populations.

Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.

Answer:

6.75g

Step-by-step explanation:

The initial step is to convert all values to grams using rules of three, followed by summation.

In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.

In direct relationships, as one measure increases, so does the other.

In inverse relationships, as one measure increases, the other decreases.

Problems involving unit conversion, like this, illustrate a direct relationship between measures.

First step: convert 0.0025kg to grams

One kilogram equals 1000 grams, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

Thus, 0.0025kg is equal to 2.5g

Second step: handle 1750 mg

One gram consists of 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = 1.75g

Therefore, 1750 mg converts to 1.75g

2.25g is fine

Third step: convert 825,000 μg to grams

One gram consists of 1,000,000 micrograms, so:

1g - 1,000,000 μg

xg - 825,000 μg

1,000,000x = 825,000

x = 0.25g

So, 825,000 μg equals 0.25g

Final step: sum all values

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

Answer:

2.55 cubic meters of sand

Step-by-step explanation:

The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!