When rounded to three decimal places, the probability of getting a tail in three unfair coin tosses is approximately 0.343.
A mathematical technique called combination allows you to choose items from a larger set without changing their order. C(n, r) = n! / (r! * (n - r)!) is the formula for calculating the combination of n items taken r at a time. Use the factorials to calculate the numbers: 10! = 3,628,8007!, and then enter these values back into the formula: C(10, 7) = 120 to determine the combination of 10 items taken 7 at a time.
Beginning the year with a $5000 deposit, Alex regularly takes out $200. A linear equation, y = mx + b, shows the relationship between Alex's remaining funds and the number of months that have passed. The y-intercept (b) is $5000, and the slope (m) is -200. Alex's account drops by $200 every month until it reaches the starting amount as x rises.
The intersection of (-3, 9) and (5, 1) is at the midpoint (1, 5)
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The other options are units of measurement used in the imperial or customary systems, whereas kilometers per hour is the metric unit of measurement for speed.
as it explains how to use trigonometry to determine the side lengths and angles of non-right triangles.
All the distinctive elements from two or more sets are combined into a single set through the operation known as the union of sets (). When two or more sets are combined, a new set is created that includes every element from every original set.
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The volume of a square pyramid is given by the equation V = (1/3) * b2 * h.
A mathematical conjecture is a statement or proposition that is based on evidence and is thought to be true but has not been proven or verified. An example that contradicts the conjecture, supports the hypothesis, but fails to support the conclusion is referred to as a counterexample. By identifying counterexamples that refute the conjecture's conclusion, mathematicians can determine whether a conjecture is valid.