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16.7 meters/sec

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โˆ™ 2018-01-16 14:34:46
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: If Skyler throws the football 50 m in three seconds what is the average speed of the football?
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If Steve throws the football 50 meters in 3 seconds what is the average speed (velocity) of the football?

26


If Steve throws the football 50 meters in 3 seconds what is the average speed velocity of the football?

16.66 meters per second


Is a dice fair if you throw it 600 times and score six 200 times?

Nope - the odds of throwing a six with a single dice - 6:1. For 600 throws with an evenly balanced dice, you should only score a six an average of 100 times.


A baseball player throws a baseball 88 feet per second what is the speed of the pitch in miles per hour?

There are 3,600 seconds in an hour (60 seconds / minute * 60 minutes / hour). There are 5,280 feet in a mile. Therefore to convert feet / second into miles per hour, multiply by 3,600 / 5,280 (0.68) So 88 feet per second is 60 miles per hour. To go the other way (convert from miles per hour to feet per second), divide by 0.68.


What is the probability that 13 rolls of a fair die will show three threes?

Not an easy question. Here's a long but logical answer. The chance of not getting a 3 on any throw is 5/6, so the chance of not getting any threes in the first 10 throws is (5/6)^10. Now, having reached that point, the chance of throwing three threes in the last three throws is 1/6 x 1/6 x1/6 or 1/216. So the probability of throwing three threes in any chosen three throws is (5/6)^10 x 1/216. This should seem logical because the probability of throwing three threes in the first three throws followed by ten failures to throw threes, should be the same as just getting threes in the last three throws. The probability is the same for getting threes in only the second, fourth and sixth throw, or any other combination of three throws. Now, there are a set number of combinations of 13 things taken in groups of three. This is given by the formula for C(13,3) = (13x12x11x10x9x8x7x6x5x4)/((10x9x8x7x6x5x4x3x2x1)x(3x2x1)). That cancels down to (13x12x11)/(3x2x1), and equals 286. So, there are this many ways you can pick out three throws which you want to be the threes, and the probability of them actually being threes is the first calculation we did. The answer to the question is 286 x (5/6)^10 x 1/216 which is 0.2138453, about.

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