A local PTA runs a fundraiser, selling lottery tickets for $5, offering 1 first prize of $100 and 5 second prizes worth $20 each

Answer:

Porter is inches taller than Henry.

Porter is times taller than Henry.

Step-by-step explanation:

To find the height difference, subtraction is used.

As Porter is taller than Henry, Henry's height will be drawn from Porter's height. This calculation will reveal only the height difference.

n = Porter's height

m = Henry's height

Thus, the height difference can be represented as:

Answer: Porter measures inches taller than Henry.

To determine how many times Porter is taller than Henry, division comes into play.

For example, if Porter's height is 200cm and Henry's is 100cm, Porter is evidently 2 times taller.

If we perform the division of Porter's height by Henry's height...

..the result will be 2, because Henry's height "fits in twice" within Porter's height. 100 fits twice into 200.

Using our notations, n and m, we perform n divided by m.

Answer: Porter is times taller than Henry.

Answer: We discover two outcomes:

1000 - 998 = 2

1001 - 999 = 2

Step-by-step explanation:

The problem can be stated as:

****-*** = 2

Where each asterisk symbolizes a distinct digit; here with a 4-digit number subtracting a 3-digit number to yield a difference of 2.

This can be represented as 99*, where we can increase any digit from 1 to 9 and we will achieve a 4-digit result:

So we rewrite it this way:

1000 - 998 = 2

When we add one to each side, the difference remains preserved, maintaining equal digit counts:[

1000 - 998 + 1 - 1 = 2

(1000 + 1) - (998 + 1) = 2

Thus, 1001 - 999 = 2

A simple case would also yield further solutions where digits can be zeros, for instance:

0004 - 0002 = 2

However, this trivial solution may be disregarded. This leads us to conclude that we have two unique solutions.

Response:

Events A and B exhibit independence.

Detailed explanation:

We are provided with

The multiplication principle applicable to events A and B

A correct assertion regarding events A and B is necessary for this principle to hold.

It is understood that for two events A and B to be independent

Consequently, the probability

Thus, the correct assertion concerning events A and B for the application of this principle is stated as

Events A and B are independent.