A customer/member owes $11.02 and pays $100.00 in cash. Change due is $88.98. True or False?

Answer:

Step-by-step explanation:

Let x represent the speed of the first ferry.

Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.

The time taken by the first ferry is calculated as distance divided by speed =

The time taken by the second ferry equals .

Since the second ferry departs one hour earlier, the times differ by 1 hour.

The speed cannot be negative.

Thus, the speed of the first ferry is determined to be 18.5 mph,

and for the second, slower ferry, it equals 13.5 mph.

To find the volume of an aluminum cylinder with a mass of 12.4 g and a length of 2.00 cm:
V = π r² L
Density of aluminum is 2.7 g / cm³
Therefore, V = 12.4 g: 2.7 g/cm³ ≈ 5 cm³
5 = 3.14 · r² · 2
r² = 5: 6.28
r² = 0.796
r = √0.796
Thus, the radius of the aluminum cylinder is 0.9 cm.
Answer:
The radius of an aluminum cylinder is 0.9 cm.

By solving the equation -x+8+3x=x-6, we rearrange it to 2x+8=x-6. This leads to the simplification 2x-x=-6-8, yielding x=-14. The correct answer is letter B.

Answer:

The chance of remaining dry throughout the whole festival is 0.19

Step-by-step explanation:

According to the Complement Rule, the aggregate of the probabilities of an event and its opposite is always equal to 1.

Here, we consider the likelihood of rain each day, so we need to find the chances of it NOT raining.

On the first day, there's a 45% possibility of rain; thus, the complement is 55%

On the second day, the chance of rain is 55%, making its complement 45%

For the third day, the likelihood is 10%, giving a complement of 90%

On the fourth day, the rain chance remains 10%, so the complement stays at 90%

The fifth day presents a 5% chance of rain, resulting in a complement of 95%

To determine the probability of not encountering rain for the entire festival, we multiply all the complements.

P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19

The absolute inequality regarding p is represented as |p - 72%| ≤ 4%. This reflects that with an initial 72% poll result and a margin of error of 4%, p likely falls between 68% and 76%, indicating the potential range of p.