Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>
The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:

This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
Read more about expected values at:
brainly.com/question/15858152
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42 times 28 = 1176
i'm 90% sure it's right please tell me if it's not
Answer:

Step-by-step explanation:
Given

Required
Find x
We have:

Rewrite as:

Expand

Factorize

Factor out x + 520

Split

Solve

Side length must be positive;
So:

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.