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(c)

The sum of n natural numbers is \(\dfrac{n(n-1)}{2}\), so we have \(\dfrac{99(100)}{2}=4950\)

(b)

He didn't write down a 0. Using \(\text{Probability}=\dfrac{\text{number of successful outcomes}}{\text{total possible outcomes}}\), the probability is 0.

(a)

Let's look at a simplified version: 1, 2, 3, 4. How many numbers are in that?

Obviously 4. That's the last number in the sequence. 

Therefore, using the same logic, Sam wrote down 99 digits.

The number of heads was at least what?

The answer is 3 because (4x-7y)³ contains the term -336x²y

What 4x4 grid are you talking about? Please proofread your questions so we can answer them.

Please attach a graph so we can see what you're talking about.

The answer to this is 0, because 12 < 564. However, I assume you meant something other than a 564-gallon glass. That's an enourmous glass.

Not sure what question you're asking. Please proofread your questions so we know what to answer.

If the train moves at an average speed of 60 mph, we can divide 65 by 60 to get the amount of hours he will spend on the train. So, 65 / 60 is 1 1/12. 1/12 of an hour is 5 minutes so Dan will spend 1 hour and 5 minutes on the train.

Alternatively, you could notice that 60 mph means that Dan travels 1 mile every minute, which means it will take Dan 65 minutes to travel 65 miles.

Short Answer: 65 minutes, or at 4:05 p.m.

Since 60 miles per hour is the same as 1 mile per minute, and Austin is 65 miles away, it will take Dan 65 minutes to get there.

Therefore, he will arrive at 4:05 p.m.

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Faulty question !

Faulty question !